Template-Type: ReDIF-Article 1.0
Author-Name: Mehdi Seifbarghy
Author-X-Name-First: Mehdi
Author-X-Name-Last: Seifbarghy
Author-Name: Mohsen Hamidi
Author-X-Name-First: Mohsen
Author-X-Name-Last: Hamidi
Title: Integration of supplier evaluation and closed-loop supply chain network design from internal and external stakeholders' perspectives using grey hybrid SWARA-COPRAS methods
Abstract:
Today, due to environmental, social, and financial considerations as well as customer expectations, designing closed-loop supply chain (CLSC) networks has become very important from all stakeholders' perspectives. In this paper, an integrated model for a CLSC network is presented in four stages. In the first stage, the hybrid SWARA-COPRAS method is applied to score suppliers. In the second stage, environmental and social scores of the refurbishment sites are computed. In the third stage, the customer priorities for substitute products are calculated. In the fourth stage, an integrated four-objective integer linear programming model is proposed from the perspectives of organisation, customers, suppliers, and community. The model selects suppliers, locates refurbishment sites, and determines the flows between supply chain entities. In addition to maximising supply from the most qualified suppliers and producing desirable products for customers, the sustainability of supply chain from environmental, social, and financial perspectives has been considered.
Journal: Int. J. of Mathematics in Operational Research
Pages: 1-22
Issue: 1
Volume: 25
Year: 2023
Keywords: closed-loop supply chain network design; CLSC; supplier evaluation; sustainability; customer satisfaction; SWARA-COPRAS.
File-URL: http://www.inderscience.com/link.php?id=131380
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:1:p:1-22

Template-Type: ReDIF-Article 1.0
Author-Name: Amrita Bhadoriya
Author-X-Name-First: Amrita
Author-X-Name-Last: Bhadoriya
Author-Name: Mrudul Y. Jani
Author-X-Name-First: Mrudul Y.
Author-X-Name-Last: Jani
Author-Name: Santosh Kumar Sharma
Author-X-Name-First: Santosh Kumar
Author-X-Name-Last: Sharma
Author-Name: Urmila Chaudhari
Author-X-Name-First: Urmila
Author-X-Name-Last: Chaudhari
Title: Impact of advertisements on retailer's inventory for time-varying perishable rate with preservation technology investment under customer return and trade credit policy
Abstract:
In any business worldwide, inventory management is a challenging task for every organisation. This article demonstrates an inventory model for deteriorating products from the retailer's point of view in which: 1) demand is determined by price and frequency of advertisement; 2) the influence of trade credit on expanding small business and their consumers is the focus of this research; 3) product deteriorates with an expiry date; 4) retailer invests money in preservation technology to preserve the deterioration of a product; 5) customer returns the product to the company are the significant factors among the interrelation of supplier and retailer for a highly demanding product. The main objective of this article is to optimise the retailer's total profit in terms of cycle length, price, frequency of advertisement, and capital in preservation technology. Also, for optimality, an algorithm is created. Finally, the results were validated by solving two numerical illustrations and conducting sensitivity analysis of the main factors resulting from the following managerial implications: 1) if the retailer receives a longer allowable delay period from the supplier, the retailer can maximise total profit; 2) an increase in the ordering cost per order the overall profit decreases.
Journal: Int. J. of Mathematics in Operational Research
Pages: 23-46
Issue: 1
Volume: 25
Year: 2023
Keywords: customer returns; frequency of advertisement; maximum fixed lifetime; price-advertisement dependent demand; preservation technology investment; trade credit.
File-URL: http://www.inderscience.com/link.php?id=131381
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:1:p:23-46

Template-Type: ReDIF-Article 1.0
Author-Name: Morongwa Gabanakgosi
Author-X-Name-First: Morongwa
Author-X-Name-Last: Gabanakgosi
Author-Name: Broderick Oluyede
Author-X-Name-First: Broderick
Author-X-Name-Last: Oluyede
Title: The Topp-Leone type II exponentiated half logistic-G family of distributions with applications
Abstract:
In this paper, we introduce a new continuous family of distributions called the Topp-Leone type II exponentiated half logistic-G (TL-TIIEHL-G). We also present some of the special cases of the new model. Some statistical properties of the new family of distributions are explored. The statistical properties studied include the expansion of the density function, hazard and quantile functions, moments, moment generating functions, probability weighted moments, stochastic ordering, distribution of order statistics and Rényi entropy. The maximum likelihood technique is used to estimate the model parameters and Monte Carlo simulations are presented. Lastly, the importance of the new family of distributions is examined by means of applications to real dataset.
Journal: Int. J. of Mathematics in Operational Research
Pages: 85-117
Issue: 1
Volume: 25
Year: 2023
Keywords: Topp-Leone distribution; type 11 distribution; exponentiated half-logistic-G; maximum likelihood estimation.
File-URL: http://www.inderscience.com/link.php?id=131382
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:1:p:85-117

Template-Type: ReDIF-Article 1.0
Author-Name: Elham Shadkam
Author-X-Name-First: Elham
Author-X-Name-Last: Shadkam
Author-Name: Reza Yazdani
Author-X-Name-First: Reza
Author-X-Name-Last: Yazdani
Author-Name: Mirpouya Mirmozaffari
Author-X-Name-First: Mirpouya
Author-X-Name-Last: Mirmozaffari
Author-Name: Fatemeh Adineh
Author-X-Name-First: Fatemeh
Author-X-Name-Last: Adineh
Title: The hybrid DHP method for evaluation, ranking and selection of green suppliers in the supply chain
Abstract:
This paper presents a hybrid method called the DHP method, which is a combination of data envelopment analysis and hierarchical analysis process methods. Evaluation, ranking, and selection of green suppliers in the supply chain are important to reduce costs and increase profits, efficiency, and performance of the supply chain. The purpose of this paper is to evaluate and select the best green suppliers of wind turbine equipment using the proposed DHP approach. In fact, it deals with the process of hierarchical analysis of supplier performance and uses a cross-performance matrix instead of a weight matrix. Finally, in order to validate the proposed DHP method, a similar method is used to solve the problem of green supplier selection, and the results show the superiority of the proposed method in supplier selection. The most important advantage of the proposed approach is the simultaneous consideration of suppliers' performance and their evaluation according to the existing criteria.
Journal: Int. J. of Mathematics in Operational Research
Pages: 118-138
Issue: 1
Volume: 25
Year: 2023
Keywords: supply chain; green suppliers; analytical hierarchy process; data envelopment analysis; DEA; wind power plant.
File-URL: http://www.inderscience.com/link.php?id=131383
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:1:p:118-138

Template-Type: ReDIF-Article 1.0
Author-Name: Kazuki Satoh
Author-X-Name-First: Kazuki
Author-X-Name-Last: Satoh
Author-Name: Hiroshi Morita
Author-X-Name-First: Hiroshi
Author-X-Name-Last: Morita
Title: Determining the optimal parcel delivery method using one drone and one truck
Abstract:
Delivering parcels using a combination of drones and trucks represents a promising new package delivery method. In previous studies, several truck/drone delivery planning problems and their solutions have been proposed. However, little research has been done to determine which delivery method is most appropriate. The reason for this is that it is difficult to obtain an exact solution for such problems, and thus the accuracy of the solutions is an issue. In this study, we propose an accurate solution procedure for the flying sidekick travelling salesman problem (FSTSP) and the parallel drone scheduling travelling salesman problem (PDSTSP), and establish which delivery method is most suitable based on the solutions obtained.
Journal: Int. J. of Mathematics in Operational Research
Pages: 451-474
Issue: 4
Volume: 24
Year: 2023
Keywords: drone; vehicle routing problem; travelling salesman problem; parcel delivery; heuristics.
File-URL: http://www.inderscience.com/link.php?id=130109
File-Format: text/html
File-Restriction: Open Access
Handle: RePEc:ids:ijmore:v:24:y:2023:i:4:p:451-474

Template-Type: ReDIF-Article 1.0
Author-Name: Thatayaone Moakofi
Author-X-Name-First: Thatayaone
Author-X-Name-Last: Moakofi
Author-Name: Broderick Oluyede
Author-X-Name-First: Broderick
Author-X-Name-Last: Oluyede
Title: The Harris-Topp-Leone-G family of distributions: properties and applications
Abstract:
In this paper, we propose a new family of continuous distributions called the Harris-Topp-Leone-G (Harris-TL-G) family of distributions that extends the Topp-Leone-G family introduced by Al-Shomrani et al. (2016). Explicit expressions for certain statistical properties of the new family of distributions including quantile function, ordinary and incomplete moments, generating functions, Rényi entropy, distribution of order statistics, moment of residual and reversed residual life are derived. We discuss the maximum likelihood estimates for the model parameters. Three real datasets are used to illustrate the flexibility of the new family of distributions.
Journal: Int. J. of Mathematics in Operational Research
Pages: 208-241
Issue: 2
Volume: 25
Year: 2023
Keywords: Harris distribution; Topp-Leone distribution; maximum likelihood estimation.
File-URL: http://www.inderscience.com/link.php?id=131390
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:2:p:208-241

Template-Type: ReDIF-Article 1.0
Author-Name: Mukesh Kumar
Author-X-Name-First: Mukesh
Author-X-Name-Last: Kumar
Author-Name: Atul Kumar
Author-X-Name-First: Atul
Author-X-Name-Last: Kumar
Author-Name: Vikrant Sharma
Author-X-Name-First: Vikrant
Author-X-Name-Last: Sharma
Title: Study of green manufacturing practices through survey-ordinal regression analysis and development of theoretical framework for Ethiopian manufacturing industries
Abstract:
Green manufacturing (GM) research has grown in recent years due to the perceived performance implications. However, the literature on the implications of GM practices in manufacturing firms, particularly in developing countries, is scant. This research addressed this challenge by examining the effects of GM practices on the green achievement (GA) of manufacturing firms in Ethiopia. This article conducted a mail-questionnaire survey and then used ordinal regression analysis to analyse the survey results obtained from 90 valid responses. Additionally, the authors developed a framework for theoretical implications. Three dimensions of green practices were evaluated: green products, green processes, and green supply and distribution. Except for green products, the findings indicate that all green practices' dimensions are positive and significant predictors of GA. This is the first study to examine how Ethiopian manufacturing industries implement GM practices, which can serve as a model for other businesses implementing environmental programs.
Journal: Int. J. of Mathematics in Operational Research
Pages: 186-207
Issue: 2
Volume: 25
Year: 2023
Keywords: green manufacturing practices; green achievement; Ethiopian manufacturing industry; ordinal regression analysis; theoretical framework.
File-URL: http://www.inderscience.com/link.php?id=131391
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:2:p:186-207

Template-Type: ReDIF-Article 1.0
Author-Name: Shun-chi Yu
Author-X-Name-First: Shun-chi
Author-X-Name-Last: Yu
Title: Elucidating two-stage flowshop multiprocessor scheduling problems using a hybrid genetic algorithm
Abstract:
In recent decades, genetic algorithms (GAs) have often been applied as heuristic techniques at various settings entailing production scheduling. However, early convergence is one of the problems associated with this approach. This study develops an efficient local search rule for the target-oriented rule in traditional GAs. It also addresses the problem of two-stage multiprocessor flowshop scheduling (FSP) by viewing the due window and sequence-dependent setup times as constraints faced by common flowshops with multiprocessor scheduling suites in the actual production scenario. Using the simulated data, this study verifies the effectiveness and robustness of the proposed algorithm. The results of data testing demonstrate that the proposed method may outperform other algorithms, including a significant hybrid algorithm, in addressing the problems considered.
Journal: Int. J. of Mathematics in Operational Research
Pages: 242-288
Issue: 2
Volume: 25
Year: 2023
Keywords: target-oriented; genetic algorithm; two-stage MFSS; due window; setup time.
File-URL: http://www.inderscience.com/link.php?id=131392
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:2:p:242-288

Template-Type: ReDIF-Article 1.0
Author-Name: Babiker Ibrahim Abdelfadil
Author-X-Name-First: Babiker Ibrahim
Author-X-Name-Last: Abdelfadil
Author-Name: Lamay Bin Sabir
Author-X-Name-First: Lamay Bin
Author-X-Name-Last: Sabir
Author-Name: Mohd Nishat Faisal
Author-X-Name-First: Mohd Nishat
Author-X-Name-Last: Faisal
Title: Determinants of red meat consumption in Qatar: implications for red meat supply chains
Abstract:
The rising income and population in Qatar have led to an increase in the consumption of red meat. However, the supply side of a red meat supply chain is located outside the country with little control over supply chain (SC) transparency. Extant literature suggests that colour, safety, and nutritional value are essential attributes of red meat. However, studies related to their impact on consumer choices and SC is limited. This research explores the parameters that determine household consumption of red meat and uses the analytic hierarchy process (AHP) approach to prioritise the most-important parameters that influence red meat consumption for Qatari and non-Qatari customers indicating significant differences. Qatari nationals consider nutrition as an important attribute, while non-Qatari consumers consider price as an important attribute in their purchase decision. The results would be helpful for managers of red meat SCs to improve transparency and revisit their strategies for the supply of red meat to Qatar.
Journal: Int. J. of Mathematics in Operational Research
Pages: 161-185
Issue: 2
Volume: 25
Year: 2023
Keywords: red meat; transparency; Qatar; supply chain; analytic hierarchy process; AHP.
File-URL: http://www.inderscience.com/link.php?id=131393
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:2:p:161-185

Template-Type: ReDIF-Article 1.0
Author-Name: Chanda Thapliyal Nautiyal
Author-X-Name-First: Chanda Thapliyal
Author-X-Name-Last: Nautiyal
Title: Impact of inflation and discount on optimum ordering and preservation technology expenses scheme of perishable inventory model
Abstract:
This study coins an inventory model for deteriorating articles. The work devises an optimal approach of expenditure on preservation technology to attenuate the degradation process. The demand in the inventory model is both price and stock level sensitive. Demand in the form of price dependence is again a convex combination of linear and nonlinear prices. The investigation proliferates state-of-the-art strategy by presenting the concept of discount if payment is done in advance. The suggested model scrutinises the impact of inflation on optimality plan as well. The object of this exercise is to find optimal cycle length and preservation technology expenses to minimise the total cost per unit time. Stock is backlogged partially. Solution methodology of nonlinear minimisation problem embodies derivation of theorems and propositions. The final results are validated with the help of three examples, convexity of graphical schemes and sensitivity analysis. The paper also outlines the managerial point of view.
Journal: Int. J. of Mathematics in Operational Research
Pages: 68-84
Issue: 1
Volume: 25
Year: 2023
Keywords: advance payment; price and stock dependent demand; discount; preservation technology; partial backlogging; inflation; mathematical modelling.
File-URL: http://www.inderscience.com/link.php?id=131394
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:1:p:68-84

Template-Type: ReDIF-Article 1.0
Author-Name: Djedjiga Ouiddir
Author-X-Name-First: Djedjiga
Author-X-Name-Last: Ouiddir
Author-Name: Mourad Boudhar
Author-X-Name-First: Mourad
Author-X-Name-Last: Boudhar
Author-Name: Karima Bouibede-Hocine
Author-X-Name-First: Karima
Author-X-Name-Last: Bouibede-Hocine
Title: Bi-criteria two-machine flow shop scheduling problem involving sequence-dependent setup times and pieces multiplicity
Abstract:
This work addresses a just-in-time (JiT) scheduling problem on two-machine flow shop. We consider the case where each order (job) is composed of several pieces with sequence-dependent setup times. This scheduling problem involves the reducing waste, inventory costs and making goods available as and when needed. Here, the jobs incur either penalties or storage costs if they are not completed within their specific due dates. The aim is to obtain a sequence which minimises two criteria: the total weighted earliness and the total weighted tardiness. For the resolution of this problem, we propose a linear mathematical model, three heuristics and two meta-heuristics, the fast and elitist multi-objective genetic algorithm (NSGA-II) and the multi-objective tabu search algorithm (MOTS). The computational experiments, presented and discussed on randomly generated instances, are showed the effectiveness of the proposed model and NSGA-II.
Journal: Int. J. of Mathematics in Operational Research
Pages: 510-536
Issue: 4
Volume: 24
Year: 2023
Keywords: flow shop; just-in-time; JiT; pieces multiplicity; multi-criteria; mixed integer linear programming; MILP; meta-heuristics.
File-URL: http://www.inderscience.com/link.php?id=130115
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:4:p:510-536

Template-Type: ReDIF-Article 1.0
Author-Name: Tuhin Bera
Author-X-Name-First: Tuhin
Author-X-Name-Last: Bera
Author-Name: Nirmal Kumar Mahapatra
Author-X-Name-First: Nirmal Kumar
Author-X-Name-Last: Mahapatra
Title: A distinct management of linear programming in uncertain atmosphere
Abstract:
For a linear programming problem (<i>Lp</i>-problem), a fluctuation of the optimal objective value may occur when some relevant parameters are additionally acted upon the system. An <i>Lp</i>-problem is here structured in the parlance of a number of such parameters to have a fair end. Each parameter corresponds one objective function and thus the problem is multi-objective. The coefficient of objective function is set upon the expert's past experience and its degree of functionality so that a particular problem can also support the different atmosphere. The experimental data is described by three kinds of single valued triangular neutrosophic number (<i>Svt<SUB align="right"><SMALL>r</SMALL></SUB>n</i>-number) to deal with uncertainty. To manipulate huge number of data in uncertain climate, graded mean integration concept is practiced to find the score of an <i>Svt<SUB align="right"><SMALL>r</SMALL></SUB>n</i>-number. A user friendly algorithm is developed to solve an <i>Lp</i>-problem. The model is applied on a fishery planning to justify its efficiency. The obtained result is analysed, and is compared in existing frames to claim the superiority of this work.
Journal: Int. J. of Mathematics in Operational Research
Pages: 182-199
Issue: 2
Volume: 26
Year: 2023
Keywords: neutrosophic set; single valued triangular neutrosophic number; score function; linear programming in neutrosophic arena.
File-URL: http://www.inderscience.com/link.php?id=134468
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:2:p:182-199

Template-Type: ReDIF-Article 1.0
Author-Name: T. Nagalakshmi
Author-X-Name-First: T.
Author-X-Name-Last: Nagalakshmi
Title: A neutrosophic approach in the optimal solution of a neutrosophic fuzzy capital budgeting problem
Abstract:
This paper is proposed to apply neutrosophic fuzzy dynamic programming to solve neutrosophic fuzzy capital budgeting problems (NFCBPs). This paper proposes an optimal solution to a NFCBP with indefinite parameters. In this proposed approach, the revenues are taken as neutrosophic triangular fuzzy numbers (NTFNs). Neutrosophic numbers are used to state indeterminate and inconsistent information. In this paper, <i>Ã<SUB align="right"><SMALL>N</SMALL></SUB></i> = (<i>a</i><SUB align="right"><SMALL>1</SMALL></SUB>, <i>a</i><SUB align="right"><SMALL>2</SMALL></SUB>, <i>a</i><SUB align="right"><SMALL>3</SMALL></SUB>; <i>b</i><SUB align="right"><SMALL>1</SMALL></SUB>, <i>b</i><SUB align="right"><SMALL>2</SMALL></SUB>, <i>b</i><SUB align="right"><SMALL>3</SMALL></SUB>; <i>c</i><SUB align="right"><SMALL>1</SMALL></SUB>, <i>c</i><SUB align="right"><SMALL>2</SMALL></SUB>, <i>c</i><SUB align="right"><SMALL>3</SMALL></SUB>) is taken as a NTFN whose truth membership <i>T<SUB align="right"><SMALL>Ã<SUB align="right"><SMALL>N</SMALL></SUB></SMALL></SUB></i>, indeterminacy membership <i>I<SUB align="right"><SMALL>Ã<SUB align="right"><SMALL>N</SMALL></SUB></SMALL></SUB></i> and falsity membership <i>F<SUB align="right"><SMALL>Ã<SUB align="right"><SMALL>N</SMALL></SUB></SMALL></SUB></i> are defined in such a way that 0 ≤ <i>T<SUB align="right"><SMALL>Ã<SUB align="right"><SMALL>N</SMALL></SUB></SMALL></SUB></i>(<i>x</i>) + <i>I<SUB align="right"><SMALL>Ã<SUB align="right"><SMALL>N</SMALL></SUB></SMALL></SUB></i>(<i>x</i>) + <i>F<SUB align="right"><SMALL>Ã<SUB align="right"><SMALL>N</SMALL></SUB></SMALL></SUB></i>(<i>x</i>) ≤ 3, <i>x</i> ∈ <i>Ã<SUB align="right"><SMALL>N</SMALL></SUB></i>. Both forward and backward recursive equations are formulated with neutrosophic fuzzy approach to find the fuzzy optimal solution. The approach is illustrated by a numerical example. This proposed approach will pave the way for further researches in fuzzy dynamic programming models with neutrosophic approach.
Journal: Int. J. of Mathematics in Operational Research
Pages: 491-509
Issue: 4
Volume: 24
Year: 2023
Keywords: neutrosophic fuzzy dynamic programming; NFDP; neutrosophic triangular fuzzy numbers; NTFNs; neutrosophic optimisation; capital budgeting problem; fuzzy recursive equations; neutrosophic fuzzy capital budgeting problem; NFCBP.
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:4:p:491-509

Template-Type: ReDIF-Article 1.0
Author-Name: Adlane Baaziz
Author-X-Name-First: Adlane
Author-X-Name-Last: Baaziz
Author-Name: Hacène Ait Haddadène
Author-X-Name-First: Hacène Ait
Author-X-Name-Last: Haddadène
Author-Name: Ammar Oulamara
Author-X-Name-First: Ammar
Author-X-Name-Last: Oulamara
Author-Name: Ahmed Kouider
Author-X-Name-First: Ahmed
Author-X-Name-Last: Kouider
Title: Scheduling preemptive jobs on parallel machines with a conflict graph: a graph multi-colouring approach
Abstract:
This paper addresses the problem of scheduling <i>n</i> preemptive jobs, which must be carried before a predefined overall deadline, on a set of m parallel machines. This deadline corresponds to the end of the planning horizon. Each job has its own processing time and a predetermined gain assigned to it when it is completely executed. Resources are distinguished into two types: shared and critical resources. Jobs requiring the same critical resource are subjected to conflicting constraints modelled by an undirected graph. The goal is to optimise three objectives: the main one is maximising the total gain of the performed jobs. The two others objectives consider the manner of the jobs accomplishment, where the number of interruptions and the total completion time have to be minimised. To solve this NP-hard problem, an improved simulated annealing based on: 1) a minimum lost gain strategy for vertices colouring procedure; 2) a new technique for the selection of a new solution is proposed. Extensive computational experiments show the capability of the proposed algorithm to obtain optimal solutions in a reasonable amount of CPU time for small instances, and significantly better results than in the rest methods of the literature for large instances.
Journal: Int. J. of Mathematics in Operational Research
Pages: 47-67
Issue: 1
Volume: 25
Year: 2023
Keywords: parallel machines scheduling; graph multi-colouring; meta-heuristic approach.
File-URL: http://www.inderscience.com/link.php?id=131397
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:1:p:47-67

Template-Type: ReDIF-Article 1.0
Author-Name: Teoh Yeong Kin
Author-X-Name-First: Teoh Yeong
Author-X-Name-Last: Kin
Author-Name: Rizauddin Saian
Author-X-Name-First: Rizauddin
Author-X-Name-Last: Saian
Author-Name: Suzanawati Abu Hasan
Author-X-Name-First: Suzanawati Abu
Author-X-Name-Last: Hasan
Title: Analysis and simulation of modified susceptible-infected-recovered model with vaccination for COVID-19 outbreak
Abstract:
In this paper, we develop and analyse a modified susceptible-infected-recovered (SIR) compartment model by integrating the vaccination factor as a model parameter to investigate the effect of vaccination parameter on the long-term outcomes of the COVID-19 pandemic. Mathematical analysis is used to determine the disease-free equilibrium, the endemic equilibrium, and the basic reproduction number of the developed model. The stability of the model is studied using the Routh-Hurwitz criterion, and numerical simulations are conducted to assess the impact of vaccination on the disease at different rates. The findings suggest that vaccination rate influences the transmission dynamics, and the vaccine can speed up the COVID-19 recovery and contain the outbreak.
Journal: Int. J. of Mathematics in Operational Research
Pages: 537-553
Issue: 4
Volume: 24
Year: 2023
Keywords: simulation; susceptible-infected-recovered model; vaccination; coronavirus; disease free equilibrium; endemic equilibrium; basic reproduction number; stability analysis; Routh-Hurwitz criterion.
File-URL: http://www.inderscience.com/link.php?id=130117
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:4:p:537-553

Template-Type: ReDIF-Article 1.0
Author-Name: Wahiba Jomaa
Author-X-Name-First: Wahiba
Author-X-Name-Last: Jomaa
Author-Name: Mansour Eddaly
Author-X-Name-First: Mansour
Author-X-Name-Last: Eddaly
Author-Name: Bassem Jarboui
Author-X-Name-First: Bassem
Author-X-Name-Last: Jarboui
Title: Mixed integer linear programming formulations for the permutation flow shop scheduling problem with preventive maintenance activities
Abstract:
Integrating the maintenance activities into the production process allows for keeping/restoring the good functional state of machines and improving the system productivity. According to the maintenance strategy adopted by a company, maintenance activities can be carried out in fixed positions/intervals or can be flexible, with an optimised maintenance approach being the key to efficient production maintenance. Consequently, the scheduling problems with maintenance activities (machine availability constraints) have received an increasing attention for both cases of fixed and flexible maintenance activities. This paper investigates the flow shop scheduling problem in the non-resumable case using an arbitrary number of preventive maintenance activities on each machine, with the optimised criterion being the makespan. Three mixed integer linear programming (MILP) models are proposed for three different problem types with respect to the considered maintenance policies within fixed-time windows, after a fixed number of finished jobs, and within an optimal preventive maintenance period. The computational results based on the randomly generated test problems demonstrate the high performance of the proposed MILP models in solving a wide range of instances, particularly, in small- and medium-scale problems.
Journal: Int. J. of Mathematics in Operational Research
Pages: 139-160
Issue: 2
Volume: 25
Year: 2023
Keywords: scheduling; permutation flow shop; preventive maintenance; mixed integer linear programming; MILP.
File-URL: http://www.inderscience.com/link.php?id=131398
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:2:p:139-160

Template-Type: ReDIF-Article 1.0
Author-Name: Lekha Dey
Author-X-Name-First: Lekha
Author-X-Name-Last: Dey
Author-Name: Sanjay Sharma
Author-X-Name-First: Sanjay
Author-X-Name-Last: Sharma
Title: Fixed point results using multivalued and orbital continuous mapping in quasi partial metric space
Abstract:
The aim of the work is to generalise some fixed-point results for mapping that is multivalued in quasi-partial-metric space. It is an extension of fixed points for dominated mappings in partial metric space. The work modifies and extends all results of partial metric space (Ahmad et al., 2013) into quasi-partial metric space. The work also proves some fixed-point theorem for orbitally continuous operators defined in quasi-partial metric space. This paper reveals that both theorems can be given better results in quasi-partial metric space as well as obtained results are associated with the other operators. Finally, we provide an example to support the last theorem.
Journal: Int. J. of Mathematics in Operational Research
Pages: 250-262
Issue: 2
Volume: 26
Year: 2023
Keywords: fixed point theory; partial metric space; quasi partial metric space; multi valued mappings; Cauchy sequence; distance function; orbitally complete QPMS.
File-URL: http://www.inderscience.com/link.php?id=134470
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:2:p:250-262

Template-Type: ReDIF-Article 1.0
Author-Name: Nitin Mahla
Author-X-Name-First: Nitin
Author-X-Name-Last: Mahla
Author-Name: Alka Choudhary
Author-X-Name-First: Alka
Author-X-Name-Last: Choudhary
Author-Name: Dinesh C. Sharma
Author-X-Name-First: Dinesh C.
Author-X-Name-Last: Sharma
Title: Study of two heterogeneous servers with service feedback, vacation and a particular service interruption
Abstract:
Due to the huge impact on real-life application, queueing models with different types of servers have been studied widely. This paper-based on <i>M</i>/<i>M</i>/2 queues presents the study of two heterogeneous servers with particular service interruption, vacation and maintenance. Feedback facility is provided to the customers which are served by a particular server and this server will be interrupted by reactive maintenance after getting a threshold number of negative feedback. Another server will work simultaneously and no feedback will be recorded for this server. To derive the steady-state probabilities, a detailed computational procedure is followed using the matrix geometric method, and then performance measures are calculated. The economic analysis of the model is done. This model is compared with the <i>M</i>/<i>M</i>/1 model in which the server is interrupted by reactive maintenance after getting threshold number of negative feedback.
Journal: Int. J. of Mathematics in Operational Research
Pages: 231-249
Issue: 2
Volume: 26
Year: 2023
Keywords: <i>M</i>/<i>M</i>/2 queueing model; feedback; service interruption; maintenance.
File-URL: http://www.inderscience.com/link.php?id=134471
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:2:p:231-249

Template-Type: ReDIF-Article 1.0
Author-Name: N. Sujatha
Author-X-Name-First: N.
Author-X-Name-Last: Sujatha
Author-Name: G.V.S.R. Deekshitulu
Author-X-Name-First: G.V.S.R.
Author-X-Name-Last: Deekshitulu
Title: Transient solution of fractional M/M/c queue
Abstract:
In queuing models, sometimes the server may not work with full efficiency or may stop working also. Such problems are modelled with the help of fractional differential equations. Differential-difference equations involving fractional derivatives in the sense of Mittag-Leffler function have been employed to model the problems with partial activity of the server. In this paper, transient analysis of fractional M/M/c queue has been carried out analytically and results are obtained using MATLAB. The validity and efficiency of the above model is demonstrated with a numerical example. The results obtained by this new approach are justified by comparing them with solutions of classical queue which are available in the literature.
Journal: Int. J. of Mathematics in Operational Research
Pages: 170-181
Issue: 2
Volume: 26
Year: 2023
Keywords: transient analysis; fractional derivatives; Mittag-Leffler function.
File-URL: http://www.inderscience.com/link.php?id=134472
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:2:p:170-181

Template-Type: ReDIF-Article 1.0
Author-Name: Anu G. Aggarwal
Author-X-Name-First: Anu G.
Author-X-Name-Last: Aggarwal
Author-Name: Sudeep Kumar
Author-X-Name-First: Sudeep
Author-X-Name-Last: Kumar
Author-Name: Ritu Gupta
Author-X-Name-First: Ritu
Author-X-Name-Last: Gupta
Title: Multi-release software reliability assessment: testing coverage-based approach
Abstract:
Software development companies continue to improve their products to stay up with the market's growing needs by adding new features and fixing previously identified bugs. Software reliability growth models (SRGMs) with testing effort function are the incredibly valuable and have been widely utilised by software engineers. Many researchers have built SRGMs that incorporate the concept testing coverage in the model building for the multi-release software system. The proposed model intends to give three different models of multi-release software reliability modelling with testing coverage function. Three models describe testing coverage by exponential function, delayed S-shaped function and logistic function respectively, with the testing effort function assumed to be Weibull in nature. Real-world data is used to estimate parameters in order to validate the proposed SRGM of four releases from Tandem Computers and the model goodness-of-fit is assessed. The results suggest that the proposed model matches the failure data effectively.
Journal: Int. J. of Mathematics in Operational Research
Pages: 583-594
Issue: 4
Volume: 24
Year: 2023
Keywords: SRGMs; software reliability; testing coverage; testing effort; NHPP.
File-URL: http://www.inderscience.com/link.php?id=130122
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:4:p:583-594

Template-Type: ReDIF-Article 1.0
Author-Name: K. Balakrishnan
Author-X-Name-First: K.
Author-X-Name-Last: Balakrishnan
Author-Name: R. Dhanalakshmi
Author-X-Name-First: R.
Author-X-Name-Last: Dhanalakshmi
Title: Classification and feature selection for microarray cancer dataset using an improved African vulture optimisation algorithm
Abstract:
The African vulture optimisation algorithm (AVOA) is a recently developed metaheuristic algorithm that imitates the eating and movement patterns of authentic African vultures. AVOA's convergence accuracy and stability, like that of various state-of-the-art metaheuristics, will degrade as optimisation problems get more complicated and variable. Furthermore, the traditional AVOA only searches in one direction, limiting its convergence capacity and causing stagnation at local minima. To address these shortcomings, this work offers LOBL-AVOA, a better version of AVOA hybridised with the lens opposition-based learning (LOBL) technique for classification. The LOBL enhances global exploratory capacity while preventing premature convergence. The suggested LOBL-AVOA findings are compared to traditional AVOA results. The efficacy of LOBL-AVOA is assessed employing six high-dimensional microarray datasets and three distinct classifiers such as support vector machine (SVM), K-nearest-neighbour (KNN) and random forest (RF). As an outcome, the proposed method surpasses traditional AVOA in terms of convergence capability, statistical analysis and classification accuracy.
Journal: Int. J. of Mathematics in Operational Research
Pages: 1-18
Issue: 1
Volume: 26
Year: 2023
Keywords: African vulture optimisation algorithm; AVOA; classification; feature selection; microarray dataset.
File-URL: http://www.inderscience.com/link.php?id=133713
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:1:p:1-18

Template-Type: ReDIF-Article 1.0
Author-Name: Sephali Mohanty
Author-X-Name-First: Sephali
Author-X-Name-Last: Mohanty
Author-Name: Trailokyanath Singh
Author-X-Name-First: Trailokyanath
Author-X-Name-Last: Singh
Title: A model on an EOQ optimal ordering policy varying with time-dependent cubic demand and variable deterioration under delay in payment conditions
Abstract:
The main objective of the proposed paper is to extend Khanra et al. 's (2011) model with the following characteristics: 1) delay in payment is acceptable; 2) demand is a generalised demand pattern and is a cubic function of time; 3) deteriorating items follow a variable deterioration rate, which is a linear function of time; 4) neither partial backlogging nor complete backlogging has been taken into consideration. For settling the account, the formulation of the model is derived under two main approaches: case 1 &#45; the grace period is less than the time period of the system or case 2 &#45; the grace period is greater than the time period of the system. Finally, results are analysed and presented with the help of several numerical examples. Sensitivity analysis of all of the system parameters of the proposed model is discussed.
Journal: Int. J. of Mathematics in Operational Research
Pages: 37-58
Issue: 1
Volume: 26
Year: 2023
Keywords: delay in payment; deteriorating items; EOQ; time-dependent cubic demand; variable deterioration.
File-URL: http://www.inderscience.com/link.php?id=133714
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:1:p:37-58

Template-Type: ReDIF-Article 1.0
Author-Name: Mohamed Abd Allah El-Hadidy
Author-X-Name-First: Mohamed Abd Allah
Author-X-Name-Last: El-Hadidy
Author-Name: Alaa Awad Alzulaibani
Author-X-Name-First: Alaa Awad
Author-X-Name-Last: Alzulaibani
Title: On the existence of the tracking model for N-dimensional Brownian particle in the fluid
Abstract:
In this work, an existential study of the tracking technique of N-dimensional Brownian particle in the fluid has been discussed. A set of nano-robot sensors start the tracking process from the origin of N-dimensional space. Besides giving the conditions which present the finiteness of the expected value of the first meeting time between one of the nano-robot sensors and the particle, we provide the computational expected value of this time.
Journal: Int. J. of Mathematics in Operational Research
Pages: 59-95
Issue: 1
Volume: 26
Year: 2023
Keywords: probabilistic methods; statistical physics; mathematical analysis; N-dimensional Brownian motion; purify impurities.
File-URL: http://www.inderscience.com/link.php?id=133715
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:1:p:59-95

Template-Type: ReDIF-Article 1.0
Author-Name: Nejmaddin A. Sulaiman
Author-X-Name-First: Nejmaddin A.
Author-X-Name-Last: Sulaiman
Author-Name: Gulnar W. Sadiq
Author-X-Name-First: Gulnar W.
Author-X-Name-Last: Sadiq
Author-Name: Basiya K. Abdulrahim
Author-X-Name-First: Basiya K.
Author-X-Name-Last: Abdulrahim
Title: Solving bi-level linear fractional programming problems with fuzzy interval coefficients using game matrix
Abstract:
In this paper, a bi-level linear fractional programming problems (BILLFPP) with fuzzy interval coefficients (FIC) was considered where all of it is coefficients in the goal function and constraints are fuzzy intervals (FIs). Firstly, to resolve this issue, we construct two LFPP with fuzzy coefficients one of these problems is a LFPP where all of it is coefficients are upper approximations of (FIs) and the other is a LFPP, where all of it is coefficients are lower approximations of (FIs) secondly, the BILLFPP are converted in to a single objective LFPP and QFPP. At the end, and we use game matrix technique which yields an efficient resolution of the original BILLFPP with fuzzy interval, the single objective LFPP or QFPP is resolved by modified simplex technique. Finally, numerical examples are given to demonstrate the results.
Journal: Int. J. of Mathematics in Operational Research
Pages: 19-36
Issue: 1
Volume: 26
Year: 2023
Keywords: LFPP; BILLFPP; FBILLFPP; BILLFPP with fuzzy interval; FBILLFPP with fuzzy interval; modified simplex technique.
File-URL: http://www.inderscience.com/link.php?id=133716
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:1:p:19-36

Template-Type: ReDIF-Article 1.0
Author-Name: Ali Khebouche
Author-X-Name-First: Ali
Author-X-Name-Last: Khebouche
Author-Name: Mourad Boudhar
Author-X-Name-First: Mourad
Author-X-Name-Last: Boudhar
Author-Name: El-Sedik Lamini
Author-X-Name-First: El-Sedik
Author-X-Name-Last: Lamini
Title: Throughput optimisation in reentrant circular regular robot cells
Abstract:
We consider robot cells of type reentrant circular flow shop served by a single-gripper central robot having the ability to swap. The objective is to find a cyclic sequence of robot moves that minimises the cycle time of one-unit required to produce a part or, equivalently, that maximises the throughput. We analysed three-machine robot cells in-depth showing that four of the feasible one-unit cycles dominate the remaining 17 cycles. We determined the parameter regions in which each of the four cycles is optimal. In the case of m machines, we gave two new lower bounds with an emphasis on four cycles that are specific among all one-unit cycles. Initially, cycle time formulas are created for the four cycles of one-unit. In addition, we established the parameter regions where each of the cycles is best. Finally, we showed that a specific cycle provides a 3/2-approximation for the remaining unique region.
Journal: Int. J. of Mathematics in Operational Research
Pages: 111-142
Issue: 1
Volume: 26
Year: 2023
Keywords: circular robot cells; chain-reentrant; throughput maximisation; cyclic production; flow-shop scheduling.
File-URL: http://www.inderscience.com/link.php?id=133717
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:1:p:111-142

Template-Type: ReDIF-Article 1.0
Author-Name: Aghiles Azizen
Author-X-Name-First: Aghiles
Author-X-Name-Last: Azizen
Author-Name: Kahina Louadj
Author-X-Name-First: Kahina
Author-X-Name-Last: Louadj
Author-Name: Mohamed Aidene
Author-X-Name-First: Mohamed
Author-X-Name-Last: Aidene
Title: An algorithm for solving a min-max problem by adaptive method
Abstract:
Min-max problems occupies an important place in linear programming (LP), as it addresses a large number of optimisation problems, in various fields of science. In this study, an algorithm using adaptive method is proposed for solving the min-max problem in linear programming. It consists on finding the maximum of the minimum of a function (where the essential constraints are in equality and the direct constraints are bounded) in a minimum execution time. A solving algorithm is built using the principle of the adaptive method and it is based on the concept of the support matrix of the problem. Necessary and sufficient conditions for the optimality of a support feasible solution are established and sub-optimality criterion is derived. This algorithm allows to solve directly the considered problem, without modifying it and avoids the drawbacks of the increase in the number of the variables and the constraints, thus, improve the convergence speed of the method. Its performance is tested on a numerical example.
Journal: Int. J. of Mathematics in Operational Research
Pages: 96-110
Issue: 1
Volume: 26
Year: 2023
Keywords: min-max problem; linear programming; adaptive method; sub-optimality estimate; change of support; optimisation; feasible solution; optimality criterion.
File-URL: http://www.inderscience.com/link.php?id=133718
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:1:p:96-110

Template-Type: ReDIF-Article 1.0
Author-Name: Sarada Mohapatra
Author-X-Name-First: Sarada
Author-X-Name-Last: Mohapatra
Author-Name: Priteesha Sarangi
Author-X-Name-First: Priteesha
Author-X-Name-Last: Sarangi
Author-Name: Prabhujit Mohapatra
Author-X-Name-First: Prabhujit
Author-X-Name-Last: Mohapatra
Title: An improvised grey wolf optimiser for global optimisation problems
Abstract:
The grey wolf optimisation (GWO) algorithm is one of the popular meta-heuristic algorithms in evolutionary computation. However, the GWO algorithm has many drawbacks such as less accuracy, incapable of local searching competence, and low convergence speed. Therefore, in this paper an improvised grey wolf optimisation algorithm called IGWO is being introduced to compensate for these drawbacks of the GWO method by altering the surrounding behaviour along with the new position updating formula. Several well-known benchmark functions are considered to examine the accurateness and convergence of the modified version. The outcomes are analogised to the well-known algorithms like particle swarm optimisation algorithm, GWO algorithm, mean GWO algorithm, fast evolutionary programming and gravitational search algorithm. The experimental results showed that the newly modified IGWO can produce extremely superior results in terms of optimum objective functions and convergence speediness.
Journal: Int. J. of Mathematics in Operational Research
Pages: 263-281
Issue: 2
Volume: 26
Year: 2023
Keywords: meta-heuristics; grey wolf optimisation; GWO; swarm intelligence.
File-URL: http://www.inderscience.com/link.php?id=134490
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:2:p:263-281

Template-Type: ReDIF-Article 1.0
Author-Name: Mohammad Subhi Al-Batah
Author-X-Name-First: Mohammad Subhi
Author-X-Name-Last: Al-Batah
Author-Name: Mohammed Riyad Al-Eiadeh
Author-X-Name-First: Mohammed Riyad
Author-X-Name-Last: Al-Eiadeh
Title: An improved discreet Jaya optimisation algorithm with mutation operator and opposition-based learning to solve the 0-1 knapsack problem
Abstract:
The 0-1 knapsack problem, a prevalent combinatorial optimisation problem, aims to maximise the benefits of a chosen subset of items while ensuring the total capacity is not exceeded. This paper proposes an improved discreet Jaya (IDJaya) algorithm to solve 0-1 knapsack problems. IDJaya includes opposition-based learning (OBL), Jaya algorithm, transfer functions, mutation operator, repair method, and fitness function. OBL is used to improve the diversity of the initial population, while the mutation operator is used to enhance the search capabilities to bypass local optima issues. Transfer functions are used to convert the Jaya algorithm from a continuous to a binary version. The repair method is used to handle infeasible solutions, and the fitness function is used to assess each solution. IDJaya's performance had been tested on a range of benchmark knapsack problems, demonstrating that IDJaya could be an effective alternative solution for various 0-1 knapsack problems.
Journal: Int. J. of Mathematics in Operational Research
Pages: 143-169
Issue: 2
Volume: 26
Year: 2023
Keywords: 0-1 knapsack problem; discreet Jaya algorithm; mutation operator; opposition-based learning; OBL; transfer functions; binary optimisation problem.
File-URL: http://www.inderscience.com/link.php?id=134491
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:2:p:143-169

Template-Type: ReDIF-Article 1.0
Author-Name: Ibrahim Yusuf
Author-X-Name-First: Ibrahim
Author-X-Name-Last: Yusuf
Author-Name: Mus'abu Musa
Author-X-Name-First: Mus'abu
Author-X-Name-Last: Musa
Author-Name: Abdullahi Sanusi
Author-X-Name-First: Abdullahi
Author-X-Name-Last: Sanusi
Title: Performance modelling and enhancement of solar water pumping system using Gumbel-Hougaard family copula
Abstract:
The importance of the solar water pumping system cannot be overstated, as it is employed in both the home and industrial setting. This study provides an overview of the solar water pumping system's performance and its components. The system consists of four major components: solar panel, inverter, pumping machine and tank. A partial or complete failure of the system is possible, if the system has partial failure, it is fixed by using general repair techniques and complete failure is mended by using copula repair techniques. The system is investigated using the supplementary variable techniques and the Laplace transformation to obtain explicit expressions for availability, reliability, mean time to failure (MTTF), sensitivity, and expected profit functions, all of which are numerically validated. The numerical results are presented in tables and graphs. On the basis of numerical results, the conclusions were drawn. The findings of this study will aid maintenance managers in determining the appropriate time and technique for a system's maintenance.
Journal: Int. J. of Mathematics in Operational Research
Pages: 200-230
Issue: 2
Volume: 26
Year: 2023
Keywords: availability; copula; enhancement; modelling; performance; solar; system.
File-URL: http://www.inderscience.com/link.php?id=134492
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:2:p:200-230

Template-Type: ReDIF-Article 1.0
Author-Name: S. Tharani
Author-X-Name-First: S.
Author-X-Name-Last: Tharani
Author-Name: R. Uthayakumar
Author-X-Name-First: R.
Author-X-Name-Last: Uthayakumar
Title: Optimisation on a constrained integrated supply chain for multiple steel products with investment and freight cost discount
Abstract:
This paper intends to help the reader to understand a new inventory control model for steel products. This model introduces a steel marketing supply chain between a manufacturer and a merchant with multiple steel products. The purpose of this work is to influence a price discount on backorder for the merchant, ordering cost reduction and setup cost reduction, proceeding with the cogitation of discount on freight cost. We hold the freight cost to be a function of the order's quantity, and it is to be in the format of all-unit-discount costs. We thus assimilate freight costs into the system comprehensively and straightforwardly and have worked out the optimal solution procedures for working with the posed inventory model. A numerical example and sensitivity analyses are also carried out to demonstrate the study's implementations and performances.
Journal: Int. J. of Mathematics in Operational Research
Pages: 78-103
Issue: 1
Volume: 24
Year: 2023
Keywords: multiple steel products; investment; price discount; freight cost.
File-URL: http://www.inderscience.com/link.php?id=128627
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:1:p:78-103

Template-Type: ReDIF-Article 1.0
Author-Name: Prokash Mondal
Author-X-Name-First: Prokash
Author-X-Name-Last: Mondal
Author-Name: Asim Kumar Das
Author-X-Name-First: Asim Kumar
Author-X-Name-Last: Das
Author-Name: Tapan Kumar Roy
Author-X-Name-First: Tapan Kumar
Author-X-Name-Last: Roy
Title: An EOQ model for deteriorating item with continuous linear time dependent demand with trade of credit and replenishment time being demand dependent
Abstract:
This study is about an inventory model with continuous linear time dependent demand rate with constant rate of deterioration in the consideration of partial backorder including delay in payment and time period is demand dependent. Demand is the fundamental attribute for consideration of inventory related problem. In reality, there is some inter connection of demand function among various time interval for which the demand cannot change drastically at some critical point during the appearance of another state of system. Thus, it is quite natural that the demand function should be continuous in nature in inventory management problem. So, here the most prominent part of our present study is the consideration of time dependent continuous demand in the proposed model. A supportive numerical example of the proposed model is illustrated for insightful investigation. The solution method and sensitivity analysis has also been presented.
Journal: Int. J. of Mathematics in Operational Research
Pages: 104-127
Issue: 1
Volume: 24
Year: 2023
Keywords: inventory; deterioration; delay in payment; trade credit period; backlog dependent.
File-URL: http://www.inderscience.com/link.php?id=128628
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:1:p:104-127

Template-Type: ReDIF-Article 1.0
Author-Name: Eshika Aggarwal
Author-X-Name-First: Eshika
Author-X-Name-Last: Aggarwal
Author-Name: B.K. Mohanty
Author-X-Name-First: B.K.
Author-X-Name-Last: Mohanty
Title: Hesitant fuzzy sets with non-uniform linguistic terms: an application in multi-attribute decision making
Abstract:
The paper introduces a novel methodology for solving multi-attribute decision-making problems under hesitant fuzzy linguistic environment. It includes non-uniform, non-regular, or arbitrarily defined linguistic terms in hesitant fuzzy linguistic term set. The proposed methodology takes both normal and non-normal fuzzy numbers to represent linguistic terms in HFLTS. The combined approach of the concept of existence in ranking of fuzzy sets, &lt;i&gt;&#945;&lt;/i&gt;-cuts of fuzzy numbers, and ordering relations for hesitant fuzzy sets is used to value each alternative numerically. Binary integer programming is used to verify the consistency level of pairwise comparison matrix conforming to specified linguistic preferences as per the decision maker's expressions. The pairwise comparison matrices are aggregated over attributes to obtain the aggregated pairwise comparison matrix. The derived aggregated matrix calculates dominance/non-dominance levels of alternatives and selects best alternative. The proposed method is demonstrated with a numerical example, compared with similar methods and the advantages are highlighted.
Journal: Int. J. of Mathematics in Operational Research
Pages: 1-28
Issue: 1
Volume: 24
Year: 2023
Keywords: non-uniform linguistic term set; hesitant fuzzy linguistic term set; fuzzy number comparison; binary integer programming; aggregated pairwise comparison matrix; dominance degree.
File-URL: http://www.inderscience.com/link.php?id=128629
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:1:p:1-28

Template-Type: ReDIF-Article 1.0
Author-Name: Alireza Keshtpour
Author-X-Name-First: Alireza
Author-X-Name-Last: Keshtpour
Author-Name: Elham Shadkam
Author-X-Name-First: Elham
Author-X-Name-Last: Shadkam
Author-Name: Hooman Khorsand Beheshti
Author-X-Name-First: Hooman Khorsand
Author-X-Name-Last: Beheshti
Title: Proposing a novel integrated OPA-MARCOS multi-criteria decision making model to choose the best plastic recycling method (case study)
Abstract:
Due to the rapid reduction of natural resources and adverse global environmental changes, it is necessary to preserve natural resources and protect the environment. There are various ways to recycle plastic. Choosing the best plastic recycling method is a multi-criteria decision-making problem. This research investigated the output of reference research and then resolved it using 17 multi-criteria decision-making methods (such as MAIRCA, ELECTRE I, II, etc.). Then, it examined and compared the answers obtained from these methods. Finally, this study evaluated and ranked plastic recycling methods using the combined OPA-MARCOS method, a combination of the OPA for weighting, and the MARCOS method for ranking the alternatives. The innovation of this research is that it combined the OPA and MARCOS methods for the first time and presented a new model. Finally, after solving the OPA-MARCOS model, the second alternative, i.e., mechanical recycling, is selected as the priority alternative. The results suggested that the multi-criteria decision-making methods and weighting methods used in this study can be used for multi-criteria decision-making in other cases.
Journal: Int. J. of Mathematics in Operational Research
Pages: 449-474
Issue: 4
Volume: 26
Year: 2023
Keywords: ordinal priority approach; OPA; MARCOS; multi-criteria decision making; MCDM; OPA-MARCOS; plastic recycling.
File-URL: http://www.inderscience.com/link.php?id=135542
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:4:p:449-474

Template-Type: ReDIF-Article 1.0
Author-Name: Broderick Oluyede
Author-X-Name-First: Broderick
Author-X-Name-Last: Oluyede
Author-Name: Neo Dingalo
Author-X-Name-First: Neo
Author-X-Name-Last: Dingalo
Author-Name: Fastel Chipepa
Author-X-Name-First: Fastel
Author-X-Name-Last: Chipepa
Title: The Topp-Leone-Harris-G family of distributions with applications
Abstract:
In this paper, we present the Topp-Leone-Harris-G (TL-Harris-G) family of distributions. Some special cases, such as Topp-Leone-Harris-log-logistic (TL-Harris-LLoG), Topp-Leone-Harris-uniform (TL-Harris-U) and Topp-Leone-Harris-Weibull (TL-Harris-W) distributions are given. We examine some structural properties, such as moments, generating function, distribution of order statistics, entropy, and probability weighted moments (PWMs) of the new family of distributions. The maximum likelihood estimation method is used to estimate model parameters. To illustrate the consistency and efficiency of parameter estimations process, simulations are run, and real-world data sets are used to demonstrate the applicability of the proposed model. The proposed model proves to be a better alternative to some well known models.
Journal: Int. J. of Mathematics in Operational Research
Pages: 554-582
Issue: 4
Volume: 24
Year: 2023
Keywords: Topp-Leone-G distribution; Harris-G distribution; maximum likelihood estimation; simulation study; goodness-of-fit statistics.
File-URL: http://www.inderscience.com/link.php?id=130166
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:4:p:554-582

Template-Type: ReDIF-Article 1.0
Author-Name: Anfal Rezgui
Author-X-Name-First: Anfal
Author-X-Name-Last: Rezgui
Author-Name: Hafida Saggou
Author-X-Name-First: Hafida
Author-X-Name-Last: Saggou
Author-Name: Megdouda Ourbih-Tari
Author-X-Name-First: Megdouda
Author-X-Name-Last: Ourbih-Tari
Author-Name: Meriem Boubalou
Author-X-Name-First: Meriem
Author-X-Name-Last: Boubalou
Title: Simulation of batch service lateness queues with multiple vacations and two Bernoulli catastrophes using the developed 'goLHS' generator
Abstract:
This paper considers a new model of a single server queue subject to two different Bernoulli catastrophes with service lateness which represents the control duration and the service duration where both are in batches of fixed size &lt;i&gt;K&lt;/i&gt;. We assume that catastrophes can occur when the server is in service or when it is on vacation. This proposed model is then solved using the appropriate generating functions, which gives steady state probabilities and some performance measures. Numerical results are sketched out to illustrate the effect of the system parameters on the main performance measures. To manage the proposed model with large batches, a Monte Carlo simulation is performed. For this purpose, a Latin hypercube sampling (LHS) generator called 'goLHS' is developed under MATLAB and it has been well tested. The 'rand' and 'goLHS' generators are used to compute the performance measures of the model when the batch size is large.
Journal: Int. J. of Mathematics in Operational Research
Pages: 128-153
Issue: 1
Volume: 24
Year: 2023
Keywords: batch service; Bernoulli catastrophe; multiple vacations; service lateness; Monte Carlo simulation; Latin hypercube sampling; LHS.
File-URL: http://www.inderscience.com/link.php?id=128631
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:1:p:128-153

Template-Type: ReDIF-Article 1.0
Author-Name: P.P. Sreeshamim
Author-X-Name-First: P.P.
Author-X-Name-Last: Sreeshamim
Author-Name: M.J. Jacob
Author-X-Name-First: M.J.
Author-X-Name-Last: Jacob
Author-Name: A.S. Dibu
Author-X-Name-First: A.S.
Author-X-Name-Last: Dibu
Title: A Markovian risk model with possible by-claims and dividend barrier
Abstract:
A MAP/PH risk model with possible by-claims and a dividend barrier is considered. Along with the main claim, a by-claim also can occur with a certain probability but by-claims are settled only after an inquiry and hence delayed. The model is analysed considering associated Markovian fluid models under the original timeline and an auxiliary timeline. Systems of integro differential equations (IDE) are developed for the Gerber-Shiu function (GSF) and the total dividends paid until ruin. Explicit expressions are obtained for the GSF of the models without and then with the barrier. Expressions are also provided for the moments of the total dividends paid until ruin. A dividends-penalty identity is given. The method is numerically illustrated with a two-phase model and sensitivity analysis of the model is done by varying some of the parameters involved.
Journal: Int. J. of Mathematics in Operational Research
Pages: 475-501
Issue: 4
Volume: 26
Year: 2023
Keywords: MAP claim arrivals; phase type claims; by-claims; risk reserve process; dividend barrier; Lundberg equation; Gerber-Shiu function; GSF.
File-URL: http://www.inderscience.com/link.php?id=135545
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:4:p:475-501

Template-Type: ReDIF-Article 1.0
Author-Name: Sapana Sharma
Author-X-Name-First: Sapana
Author-X-Name-Last: Sharma
Author-Name: Rakesh Kumar
Author-X-Name-First: Rakesh
Author-X-Name-Last: Kumar
Author-Name: Bhavneet Singh Soodan
Author-X-Name-First: Bhavneet Singh
Author-X-Name-Last: Soodan
Author-Name: Pradeep Singh
Author-X-Name-First: Pradeep
Author-X-Name-Last: Singh
Title: Queuing models with customers' impatience: a survey
Abstract:
Queuing systems with customers' impatience are highly applicable in many real life situations, for instance, in grocery stores, banks, hospitals, barber shops, call centres, online shopping, computer-communication networks, etc. The aim of this paper is to give a review of recent results on queuing systems with customers' impatience. In this paper, we present a survey and develop a classification scheme of queuing models with customers' impatience that includes vacation, feedback, priority service and retention of reneging customers. First, we introduce various queuing models with customers' impatience in chronological order. Second, we classify various queuing models with customers' impatience. We also provide some tables to illustrate some special features of these systems.
Journal: Int. J. of Mathematics in Operational Research
Pages: 523-547
Issue: 4
Volume: 26
Year: 2023
Keywords: queuing models; customers' impatience; classification; research; survey.
File-URL: http://www.inderscience.com/link.php?id=135546
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:4:p:523-547

Template-Type: ReDIF-Article 1.0
Author-Name: Debapriya Dey Sarkar
Author-X-Name-First: Debapriya Dey
Author-X-Name-Last: Sarkar
Author-Name: Shyamal Kumar Mondal
Author-X-Name-First: Shyamal Kumar
Author-X-Name-Last: Mondal
Author-Name: Kajla Basu
Author-X-Name-First: Kajla
Author-X-Name-Last: Basu
Title: Uncertain bottleneck assignment problem using credibility theory
Abstract:
In this paper, two types of generalised bottleneck assignment problem (BGAP) namely task-BGAP and agent-BGAP have been considered with fuzzy costs, capacities and resources. In reality, most of the data are uncertain or vague in nature. The objective of this paper is to formulate and solve a more realistic model under uncertainty. A robust counterpart of these two BGAP models have been constructed using credibility measure theory to solve these optimal mini-max regret problems. Credibility theory helps the actuaries to understand the risk associated with historical data and try to reduce the losses for any organisation. So, by this approach, chance constrained programming (CCP) models have been developed. Finally, the CCP models are solved to get the optimal solution using LINGO software. The method has been illustrated using a real life application of a production factory in Section 5.
Journal: Int. J. of Mathematics in Operational Research
Pages: 502-522
Issue: 4
Volume: 26
Year: 2023
Keywords: trapezoidal fuzzy number; bottleneck assignment problem; confidence interval; credibility measure theory; robust optimisation.
File-URL: http://www.inderscience.com/link.php?id=135549
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:4:p:502-522

Template-Type: ReDIF-Article 1.0
Author-Name: Anas Sani Maihulla
Author-X-Name-First: Anas Sani
Author-X-Name-Last: Maihulla
Author-Name: Ibrahim Yusuf
Author-X-Name-First: Ibrahim
Author-X-Name-Last: Yusuf
Author-Name: Saminu Iliyasu Bala
Author-X-Name-First: Saminu Iliyasu
Author-X-Name-Last: Bala
Title: Reliability and performance analysis of a series-parallel photovoltaic system with human operators using Gumbel-Hougaard family copula
Abstract:
This study offers a complete technique for evaluating the reliability efficiency of medium grid-connected photovoltaic (PV) power systems with two out of three PV panels, one out of two charge controller, two out of two batteries and one out of two inverters. State enumeration is used to examine real-world grid-connected PV systems. A set of reliability indices is defined to assess the dependability performance of PV systems. The system's dependability and availability were analysed and visually shown, as were the sensitivity parameters. The Gumbel-Haugaard family copula approach is used to create and solve Chapmen-Kolmogorov differential equations. There include numerical numbers for availability, reliability, mean time to failure (MTTF), cost analysis, and sensitivity analysis. The implications of failure rates on different solar photovoltaic subsystems were studied. To demonstrate the acquired results and to assess the influence of various system characteristics, numerical examples are provided. The current study may help companies and their repairers overcome some of the problems that repairers of specific manufacturing and industrial systems confront.
Journal: Int. J. of Mathematics in Operational Research
Pages: 29-52
Issue: 1
Volume: 24
Year: 2023
Keywords: sensitivity; subsystems; reliability; charge controller; availability.
File-URL: http://www.inderscience.com/link.php?id=128637
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:1:p:29-52

Template-Type: ReDIF-Article 1.0
Author-Name: Elham Shadkam
Author-X-Name-First: Elham
Author-X-Name-Last: Shadkam
Title: The COHP hybrid method to solve multi-objective optimisation problems: machine scheme selection
Abstract:
Multi-objectives problem optimisation is always one of the most challenging problems in the field of optimisation and it is difficult to find the optimal solution due to conflicting objectives. In this paper, by combining the method of the analytical hierarchy process (AHP) and cuckoo optimisation algorithm (COA), a new hybrid method for solving multi-objective problems is presented. The hybrid method is called COHP, which is inspired by the names of its combinatorial methods. The proposed COHP method uses the analytical hierarchy process to obtain weights through a matrix of pairwise comparisons and then interactively enter these weights into the cuckoo optimisation algorithm. In order to evaluate the performance of the multi-objective problem algorithm, the machine scheme selection in digital manufacturing with three objectives of quality, time and cost has been considered. After implementing the COHP method on the mentioned problem, the results show the superiority of the COHP method compared to the similar method created from the genetic algorithm.
Journal: Int. J. of Mathematics in Operational Research
Pages: 386-406
Issue: 3
Volume: 25
Year: 2023
Keywords: cuckoo optimisation algorithm; COA; analytical hierarchy process; AHP; multi-objective optimisation; machine scheme.
File-URL: http://www.inderscience.com/link.php?id=132478
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:3:p:386-406

Template-Type: ReDIF-Article 1.0
Author-Name: Tadeusz Antczak
Author-X-Name-First: Tadeusz
Author-X-Name-Last: Antczak
Author-Name: Kalpana Shukla
Author-X-Name-First: Kalpana
Author-X-Name-Last: Shukla
Title: Local cone approximations in non-smooth <i>K</i>-univex multi-objective programming problems
Abstract:
In this paper, we have established some results for a new class of non-smooth multi-objective problems with both inequality and equality constraints are considered. Several definitions of non-smooth (generalised) &lt;i&gt;K&lt;/i&gt;-univex functions are gathered in a general scheme by means of the concepts of &lt;i&gt;K&lt;/i&gt;-directional derivative and the &lt;i&gt;K&lt;/i&gt;-subdifferential. Then, local cone approximations are used to obtain optimality and Mond-Weir duality results for aforesaid non-smooth multi-objective problems with (generalised) K-univex functions. The results established in this paper extend similar results existing in the literature to new classes of non-convex non-differentiable multi-objective programming problems. Some examples are also given for our findings.
Journal: Int. J. of Mathematics in Operational Research
Pages: 425-448
Issue: 4
Volume: 26
Year: 2023
Keywords: non-smooth multi-objective programming; <i>K</i>-subdifferential; local cone approximations; <i>K</i>-directional derivative; <i>K</i>-univex function.
File-URL: http://www.inderscience.com/link.php?id=135550
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:4:p:425-448

Template-Type: ReDIF-Article 1.0
Author-Name: R.P. Tripathi
Author-X-Name-First: R.P.
Author-X-Name-Last: Tripathi
Title: Comparative study of purchasing EOQ model for time-sensitive holding cost under different demand with and without deterioration
Abstract:
This paper investigates the effects of carrying cost, deterioration and different demand rates on the optimal control system. We proposed three EOQ models to compare over the cycle time in which carrying cost is linearly time dependent. Three models are considered. In the first model demand rate is stock-sensitive, while in the second model constant deterioration is included in addition to model one. In the third model constant deterioration and exponential demand rate is taken in to account. The total inventory cost in inventory systems is modelled. The optimal solution is derived for proposed models. The planned model is demonstrated with numerical examples and sensitivity analysis for finding decision-making insights. Based on the optimal solution some important theorems are obtained. Finally, comparisons of three proposed models are also discussed. Mathematica 7.0, software is used to find the numerical outcomes.
Journal: Int. J. of Mathematics in Operational Research
Pages: 475-490
Issue: 4
Volume: 24
Year: 2023
Keywords: inventory; stock-linked demand; exponential; deterioration; lot-size.
File-URL: http://www.inderscience.com/link.php?id=130174
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:4:p:475-490

Template-Type: ReDIF-Article 1.0
Author-Name: Sibasish Dhibar
Author-X-Name-First: Sibasish
Author-X-Name-Last: Dhibar
Author-Name: Madhu Jain
Author-X-Name-First: Madhu
Author-X-Name-Last: Jain
Title: Strategic behaviour for M/M/1 double orbit retrial queue with imperfect service and vacation
Abstract:
In this paper, optimal strategy for double orbit retrial queue with imperfect service and vacation interruption has been studied. Sometimes, when the waiting space appears to be congested, the incoming customers may decide not to join the system. If the server is busy, the arriving customers are compelled to enter the ordinary or premium class orbit as per willingness of the customers not to pay or pay for waiting in the queue. If some customers are unsatisfied with their service during the normal busy period, they may demand additional service. Chapman-Kolmogorov governing equations are structured and solved analytically by using the probability generating functions. Several performance indices and optimal social profit with joining strategy are derived explicitly. The numerical results are obtained to analyse the effects of system descriptors on the performance indices, joining probabilities, etc. Moreover, particle swarm optimisation technique has been used to establish the optimal service policy.
Journal: Int. J. of Mathematics in Operational Research
Pages: 369-385
Issue: 3
Volume: 25
Year: 2023
Keywords: retrial queue; imperfect service; vacation; equilibrium strategy; social profit; particle swarm optimisation.
File-URL: http://www.inderscience.com/link.php?id=132479
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:3:p:369-385

Template-Type: ReDIF-Article 1.0
Author-Name: Biswarup Samanta
Author-X-Name-First: Biswarup
Author-X-Name-Last: Samanta
Author-Name: Arpita Giri
Author-X-Name-First: Arpita
Author-X-Name-Last: Giri
Author-Name: Bibhas C. Giri
Author-X-Name-First: Bibhas C.
Author-X-Name-Last: Giri
Title: A vendor-buyer supply chain model with price, warranty and green sensitive demand under greening cost, warranty cost and revenue sharing contract
Abstract:
This article considers a vendor-buyer supply chain model where the customer demand depends on selling price, green level and warranty period of the product. The production rate of the vendor is known and greater than the market demand. The production process is imperfect and it may yield some non-conforming items due to machine shift from an in-control state to an out-of-control state during a production run. Successive deliveries from the vendor are scheduled at a fixed time interval wherein the subsequent shipment appears when the buyer's inventory from former delivery has just been cleared out. A hybrid greening cost, warranty cost and revenue sharing (HGWRS) contract is introduced, which provides more profit to individual members than their decentralised profits. The numerical study reveals that, under HGWRS contract, customers are influenced to buy a more reliable product at a lower price with higher green level. A sensitivity analysis is also carried out to examine the impact of key model-parameters on the optimal results.
Journal: Int. J. of Mathematics in Operational Research
Pages: 289-322
Issue: 3
Volume: 25
Year: 2023
Keywords: supply chain; pricing; greening; warranty; revenue sharing contract.
File-URL: http://www.inderscience.com/link.php?id=132480
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:3:p:289-322

Template-Type: ReDIF-Article 1.0
Author-Name: Fadila Leslous
Author-X-Name-First: Fadila
Author-X-Name-Last: Leslous
Author-Name: Mouloud Goubi
Author-X-Name-First: Mouloud
Author-X-Name-Last: Goubi
Author-Name: Mohand Ouanes
Author-X-Name-First: Mohand
Author-X-Name-Last: Ouanes
Title: A new approach for non-convex optimisation problems applied to Hump and benchmark functions
Abstract:
A new approach for solving multivariate global optimisation problems with a single objective function or multiobjective functions. Our method consists in reducing the multivariate case to the univariate case and then we solve an univariate global optimisation problem over an interval of &#8477;. To do this, a change of variables combined with algebraic tools and Newton method are used. An algorithm is derived to find a global optimal solution of the original problem.
Journal: Int. J. of Mathematics in Operational Research
Pages: 323-342
Issue: 3
Volume: 25
Year: 2023
Keywords: multi-objective optimisation; global optimisation; Hump functions; non-convex optimisation; Newton algorithm.
File-URL: http://www.inderscience.com/link.php?id=132481
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:3:p:323-342

Template-Type: ReDIF-Article 1.0
Author-Name: Ezekiel Olaoluwa Omole
Author-X-Name-First: Ezekiel Olaoluwa
Author-X-Name-Last: Omole
Author-Name: Friday Oghenerukevwe Obarhua
Author-X-Name-First: Friday Oghenerukevwe
Author-X-Name-Last: Obarhua
Author-Name: Adefunke Bosede Familua
Author-X-Name-First: Adefunke Bosede
Author-X-Name-Last: Familua
Author-Name: Ali Shokri
Author-X-Name-First: Ali
Author-X-Name-Last: Shokri
Title: Algorithms of algebraic order nine for numerically solving second-order boundary and initial value problems in ordinary differential equations
Abstract:
A new numerical algorithm comprising of two-step with six off-step points is presented in this paper. The new method adopted interpolation of the approximate solution and collocation of the differential system in the development of the methods. The main method and its supplementary methods are combined to form the required integrators which are self-starting in nature. The implementation strategy is discussed and the new method has an algebraic order nine with significant properties that vindicate its effectiveness when applied to solve some standard second-order initial and boundary problems of ordinary differential equations such as nonlinear problem, variable coefficient problem, stiff problem, two body problem, Classical nonlinear Bratu's BVP in one-dimensional planar coordinates, Troesch's problem, Michaelis-Menten oxygen diffusion problem with uptake kinetic and the van der Pol oscillatory problem. The comparison of the new methods with some already existing methods confirmed that the method gives better accuracy. The effectiveness and efficiency are also demonstrated in the curves.
Journal: Int. J. of Mathematics in Operational Research
Pages: 343-368
Issue: 3
Volume: 25
Year: 2023
Keywords: two-step algorithms; ninth order algebraic methods; second order initial and boundary value problem; Michaelis-Menten oxygen diffusion problem; van der Pol oscillatory problem; Bratu's BVP in one-dimensional planar coordinates.
File-URL: http://www.inderscience.com/link.php?id=132482
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:3:p:343-368

Template-Type: ReDIF-Article 1.0
Author-Name: Bakang Tlhaloganyang
Author-X-Name-First: Bakang
Author-X-Name-Last: Tlhaloganyang
Author-Name: Whatmore Sengweni
Author-X-Name-First: Whatmore
Author-X-Name-Last: Sengweni
Author-Name: Broderick Oluyede
Author-X-Name-First: Broderick
Author-X-Name-Last: Oluyede
Title: The exponentiated half logistic-Kumaraswamy-G family of distributions with properties and applications
Abstract:
In this paper, a new generalised family of lifetime models called the exponentiated half logistic-Kumaraswamy-G (EHL-KUM-G) distribution is introduced and studied. We derive explicit expressions for the structural properties which includes quantile function, linear representation, ordinary and incomplete moments, moment generating functions, R&#233;nyi entropy, order statistics and probability weighted moments. Special models were also presented together with the investigation of the shapes of their densities and hazard rate functions. Estimation of model parameters based on maximum likelihood estimation technique is also discussed and a simulation study is conducted to evaluate the consistency of maximum likelihood estimators. The potential usefulness of this new distribution is demonstrated by fitting exponentiated half logistic-Kumaraswamy-Weibull (EHL-KUM-W) distribution to two real datasets.
Journal: Int. J. of Mathematics in Operational Research
Pages: 407-432
Issue: 3
Volume: 25
Year: 2023
Keywords: exponentiated half logistic distribution; Kumaraswamy-G distribution; exponentiated half logistic-Kumaraswamy-Weibull distribution.
File-URL: http://www.inderscience.com/link.php?id=132483
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:3:p:407-432

Template-Type: ReDIF-Article 1.0
Author-Name: Pankaj Narang
Author-X-Name-First: Pankaj
Author-X-Name-Last: Narang
Author-Name: Pijus Kanti De
Author-X-Name-First: Pijus Kanti
Author-X-Name-Last: De
Title: An imperfect production-inventory model for reworked items with advertisement, time and price dependent demand for non-instantaneous deteriorating item using genetic algorithm
Abstract:
This article deals with an imperfect production inventory system with advertisement, price, and time-dependent demand for a non-instantaneous deteriorating item. Every manufacturing company aims to produce only perfect quality items, but this is not possible in reality. Firstly, the manufacturing system starts producing perfect items, but after some time, it starts producing imperfect items also, because of the manufacturing machine's long run. Perfect products are ready to sell, and some percentages of imperfect products are reworked to become perfect, and the remaining defective products are sold at a cheaper price. An efficiency cost is included to maintain the system efficiency. Considering these conditions, we developed a profit function. This profit function is highly nonlinear. Therefore, we employed a real coded genetic algorithm to obtain the optimum values of production rate, selling price of the perfect quality item, selling price of imperfect item, and inverse efficiency factor to maximise the profit. The model is demonstrated by using numerical example followed by sensitivity analysis.
Journal: Int. J. of Mathematics in Operational Research
Pages: 53-77
Issue: 1
Volume: 24
Year: 2023
Keywords: economic production quantity; EPQ; imperfect production; rework; non-instantaneous deterioration; genetic algorithm.
File-URL: http://www.inderscience.com/link.php?id=128645
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:1:p:53-77

Template-Type: ReDIF-Article 1.0
Author-Name: Shashi Bhushan
Author-X-Name-First: Shashi
Author-X-Name-Last: Bhushan
Author-Name: Anoop Kumar
Author-X-Name-First: Anoop
Author-X-Name-Last: Kumar
Title: New efficient class of estimators of population mean using two-phase sampling
Abstract:
This manuscript proffers a new efficient class of estimators for population mean in two-phase sampling using the known population proportion. The usual mean estimator, classical ratio estimator, Singh (2011) estimator and log type estimator are identified as the members of the proposed class of estimators for suitably chosen values of characterising scalars. The expression of mean square error of the proffered estimators is obtained to the first order of approximation. A comparative study is accomplished concerning the relevant contemporary estimators existing till date. Further, an empirical study is carried out using different real datasets. The empirical results turned out to be rewarding as it shows better amelioration over all the existing prominent estimators.
Journal: Int. J. of Mathematics in Operational Research
Pages: 155-172
Issue: 2
Volume: 24
Year: 2023
Keywords: bias; efficiency; mean square error; two-phase sampling.
File-URL: http://www.inderscience.com/link.php?id=129427
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:2:p:155-172

Template-Type: ReDIF-Article 1.0
Author-Name: Mustapha Lawal Malumfashi
Author-X-Name-First: Mustapha Lawal
Author-X-Name-Last: Malumfashi
Author-Name: Majid Khan Majahar Ali
Author-X-Name-First: Majid Khan Majahar
Author-X-Name-Last: Ali
Title: A production inventory model for non-instantaneous deteriorating items with two-phase production period, stock-dependent demand and shortages
Abstract:
In this paper, a production inventory model for non-instantaneous deteriorating items with two-phase production periods are developed. The production rates of the two different production periods differ while the demand within such periods are the same and constant. Also, the demand within the demanding period before deterioration starts is assumed to be stock-dependent while that of within deterioration and shortage periods are constant. Shortages are allowed and completely backlogged. A theorem and lemmas were framed to characterise the optimality of the model developed and a numerical experiment is conducted to show the applicability of the model. Finally, sensitivity analysis is carried out to demonstrate the effects of change of some system parameters on the optimal solutions obtained during the numerical experiment and some suggestions and recommendations are presented based on the results obtained.
Journal: Int. J. of Mathematics in Operational Research
Pages: 173-193
Issue: 2
Volume: 24
Year: 2023
Keywords: economic production quantity; EPQ; cycle length; stock-dependent demand; holding cost; delayed deterioration; shortages; backlogged.
File-URL: http://www.inderscience.com/link.php?id=129432
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:2:p:173-193

Template-Type: ReDIF-Article 1.0
Author-Name: Ping Su
Author-X-Name-First: Ping
Author-X-Name-Last: Su
Author-Name: Xiangling Hu
Author-X-Name-First: Xiangling
Author-X-Name-Last: Hu
Author-Name: Jaideep Motwani
Author-X-Name-First: Jaideep
Author-X-Name-Last: Motwani
Title: Component sourcing under disruption risk
Abstract:
This paper considers the components sourcing problem for a manufacturer that makes a product consisting of two key components under supply disruption risks. Most of operations management papers focus on the sourcing decision of one component. However, many products are made of multiple components and the shortage of one component affects the production of the final product. In our model, the manufacturer has the option to source each component from one of the two suppliers at different costs. Both suppliers face supply disruption risks. One of the components is also available on the spot market at a higher cost. We provide the complete characterisation of conditions under which one sourcing strategy outperforms another strategy. We summarise the conditions for each of the four sourcing strategies to be optimal. We also study the impact of the key parameters such as selling price, sourcing costs, spot market price, disruption risks and supplier setup cost on the optimal sourcing strategy.
Journal: Int. J. of Mathematics in Operational Research
Pages: 300-318
Issue: 2
Volume: 24
Year: 2023
Keywords: multiple-component sourcing; supply disruption risks; dual sourcing; spot market.
File-URL: http://www.inderscience.com/link.php?id=129434
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:2:p:300-318

Template-Type: ReDIF-Article 1.0
Author-Name: Mintu Kumar
Author-X-Name-First: Mintu
Author-X-Name-Last: Kumar
Author-Name: S.B. Singh
Author-X-Name-First: S.B.
Author-X-Name-Last: Singh
Author-Name: Deepak Kumar
Author-X-Name-First: Deepak
Author-X-Name-Last: Kumar
Title: System reliability analysis based on Pythagorean fuzzy set
Abstract:
Generally, fuzzy sets and intuitionistic fuzzy sets are utilised to examine the system reliability, however, in this work the concept of intuitionistic fuzzy set (IFS) is extended in the form of Pythagorean fuzzy set (PFS). The current research is focused on the study of the reliability indices of some systems under the fuzzy environment using a Pythagorean fuzzy exponential distribution. Expressions for fuzzy hazard function, fuzzy reliability, fuzzy mean time to failure and their &lt;i&gt;&#951;&lt;/i&gt;-cut set along with the sensitivity have been determined when the considered systems follow the aforesaid distribution. At the end, numerical illustrations have been discussed to appraise the reliability characteristics of the systems using the proposed environment. This approach is very useful in various application areas like information measures, decision making, and aggregation operators.
Journal: Int. J. of Mathematics in Operational Research
Pages: 253-285
Issue: 2
Volume: 24
Year: 2023
Keywords: Pythagorean fuzzy set; mean time to failure; hazard function; exponential distribution; fuzzy reliability.
File-URL: http://www.inderscience.com/link.php?id=129440
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:2:p:253-285

Template-Type: ReDIF-Article 1.0
Author-Name: Benedicta Amadea Karina Dewi
Author-X-Name-First: Benedicta Amadea Karina
Author-X-Name-Last: Dewi
Author-Name: Cucuk Nur Rosyidi
Author-X-Name-First: Cucuk Nur
Author-X-Name-Last: Rosyidi
Author-Name: Azizah Aisyati
Author-X-Name-First: Azizah
Author-X-Name-Last: Aisyati
Title: An optimisation model of drug order quantity and distribution using continuous review approach by considering secondary suppliers
Abstract:
Drug shortages and inefficiencies in drug supply delivery are caused by poor drug purchase and distribution management in the hospital supply chain. A shortage occurs when a product is not available in sufficient numbers to satisfy demand. This research presents a mixed-integer linear programming model with the objective function to minimise the total costs comprising purchase costs, storage costs, distribution costs, and penalty costs due to shortages. The existence of secondary suppliers is considered in this research to overcome drug shortages. Purchases through a secondary supplier will occur if the primary supplier is unable to meet the hospital's demand. The model focuses on the decision-making of determining the number and drugs in each purchase and their distribution to each care unit. The hospital uses a continuous review inventory policy. Moreover, a numerical example is provided to show the applicability of the model using a real case study in a teaching hospital. The optimal solution was found using Lingo 18.0 software. Finally, sensitivity analysis is conducted by changing several parameters' values to determine their effects on the objective function and the decision variables.
Journal: Int. J. of Mathematics in Operational Research
Pages: 210-252
Issue: 2
Volume: 24
Year: 2023
Keywords: optimisation model; MILP; ordering and distribution models; continuous review; primary suppliers; secondary suppliers.
File-URL: http://www.inderscience.com/link.php?id=129441
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:2:p:210-252

Template-Type: ReDIF-Article 1.0
Author-Name: Satyajit Das
Author-X-Name-First: Satyajit
Author-X-Name-Last: Das
Author-Name: Amrita De
Author-X-Name-First: Amrita
Author-X-Name-Last: De
Title: Weight computation of criteria in a decision-making problem by entropy measure under interval-valued fuzzy environment
Abstract:
In general, the weights of criteria play an important role in decision-making scenarios. Criteria are conflicting in nature and how to measure the weights of these criteria is an interesting research issue. This work proposes an objective weight generation method for determining the importance of criteria in a real-life multi-criteria decision-making problem where information are expressed as interval-valued fuzzy sets. We use entropy measure as a tool to determine criteria weights because entropy measure is a significant measure in information science. We develop a weight computation method on the basis of entropy measure to determine the criteria weights. Here we consider the information related to criteria weights which are completely unknown and partly known. To illustrate the proposed weight determination method a real-life example is presented. Finally, a comparative study is carried out to validate the result.
Journal: Int. J. of Mathematics in Operational Research
Pages: 194-209
Issue: 2
Volume: 24
Year: 2023
Keywords: interval-valued fuzzy set; intuitionistic fuzzy set; multi-criteria decision-making problem; positive ideal solution; negative ideal solution; entropy.
File-URL: http://www.inderscience.com/link.php?id=129442
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:2:p:194-209

Template-Type: ReDIF-Article 1.0
Author-Name: Sarah Nouri
Author-X-Name-First: Sarah
Author-X-Name-Last: Nouri
Author-Name: Mourad Boudhar
Author-X-Name-First: Mourad
Author-X-Name-Last: Boudhar
Title: Equitable colouring and scheduling on identical machines
Abstract:
This paper deals in the first place with the problems of two-equitable colouring of a union of complete bipartite graphs and three-equitable colouring of connected bipartite graphs, where their &lt;i&gt;NP&lt;/i&gt;-completeness is proved. In the second place, it studies the scheduling problem of conflicting jobs on identical machines, while distributing the load evenly between them. Jobs with conflicting constraints cannot be executed on the same machine, these constraints are modelled by a conflict graph. Such problem with identical processing times can be seen as an &lt;i&gt;m&lt;/i&gt;-equitable colouring. If the conflict graph is a star graph or a union of chains, this paper demonstrates that the addressed scheduling problem remains &lt;i&gt;NP&lt;/i&gt;-hard. Furthermore, the paper describes mixed integer linear programming formulations, followed by some heuristics. The computational experiments show that one of the MILPs can optimally solve some instances with 100 jobs, and the proposed heuristics perform well.
Journal: Int. J. of Mathematics in Operational Research
Pages: 283-307
Issue: 3
Volume: 26
Year: 2023
Keywords: equitable colouring; scheduling; conflict graphs; heuristics; mixed integer linear programming; MILP.
File-URL: http://www.inderscience.com/link.php?id=134833
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:3:p:283-307

Template-Type: ReDIF-Article 1.0
Author-Name: Murat Cal
Author-X-Name-First: Murat
Author-X-Name-Last: Cal
Author-Name: Senol Altan
Author-X-Name-First: Senol
Author-X-Name-Last: Altan
Title: A greedy heuristic and a lower bound on a nonlinear stochastic TSP with partially satisfied node demand coverage constraint
Abstract:
The combinatorial travelling salesman problem (TSP) has driven researchers to find faster ways to solve the problem in reasonable times. As a result, researchers modified and created new TSP combinations such as multi-objective TSP or TSP with stochastic constraints. One of these constraints is the node demand coverage constraint. It makes sure that the demand of each node is satisfied in a route. In this study, we re-modify the node demand coverage constraint to be satisfied by some percentage of the time. This approach is more realistic because a node can be visited without covering its demand, allowing the missing of some nodes during the demand covering process while making our model nonlinear. We then provide a greedy heuristic in MATLAB and a lower bound determination procedure for this model and experiment with some predefined datasets.
Journal: Int. J. of Mathematics in Operational Research
Pages: 308-326
Issue: 3
Volume: 26
Year: 2023
Keywords: travelling salesman problem; TSP; chance constraints; nonlinear optimisation.
File-URL: http://www.inderscience.com/link.php?id=134835
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:3:p:308-326

Template-Type: ReDIF-Article 1.0
Author-Name: Ziyad Bahou
Author-X-Name-First: Ziyad
Author-X-Name-Last: Bahou
Author-Name: Issam Krimi
Author-X-Name-First: Issam
Author-X-Name-Last: Krimi
Author-Name: Abdessamad Ait El Cadi
Author-X-Name-First: Abdessamad Ait El
Author-X-Name-Last: Cadi
Author-Name: Nizar El Hachemi
Author-X-Name-First: Nizar El
Author-X-Name-Last: Hachemi
Title: Availability modelling and analysis of a two-component parallel system under stochastic dependence
Abstract:
In real-world settings, machines are not available all the time. They can undergo different collapses and malfunctions. This may increase costs and sometimes gravely threaten safety. To face this challenge, it is important to assess the availability based on the different dependencies between their components. The purpose of this paper is to compute exactly the availability of a two-component parallel system considering stochastic dependence. We propose an efficient and user-friendly model, based on Cox proportional hazards model using the generalised Weibull distribution. A calculation framework is presented to compute more realistic system availability even for real systems provided with a history of failures. A numerical example is given to assess the stochastic dependence effect on the availability of the system and to illustrate the model. A managerial insight is provided to allow the practitioners to better estimate this latter in order to develop adequate maintenance strategies.
Journal: Int. J. of Mathematics in Operational Research
Pages: 327-356
Issue: 3
Volume: 26
Year: 2023
Keywords: availability modelling; multi-components systems; stochastic dependence; Cox proportional-hazards model.
File-URL: http://www.inderscience.com/link.php?id=134836
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:3:p:327-356

Template-Type: ReDIF-Article 1.0
Author-Name: Sanjukta Malakar
Author-X-Name-First: Sanjukta
Author-X-Name-Last: Malakar
Author-Name: Nabendu Sen
Author-X-Name-First: Nabendu
Author-X-Name-Last: Sen
Title: An inventory model to study partial replacement policy and finite shelf life for deteriorating items with carbon tax
Abstract:
Inventory management is an important aspect of a retailer's market, particularly when dealing with deteriorating products having a fixed shelf life in order to reduce total inventory costs and make market strategies. Replenishment for expired products is a cost-effective approach that allows shops to replace lost products at no cost. In the actual world, however, the manufacturer will not accept a complete replacement of expired products, in such a case, partial replacement can help the shop meet the customer's demand. In this paper, under a partial replacement policy with carbon tax, a retailer's inventory model for deteriorating items is proposed to minimise the average total cost, and the optimal planning horizon is obtained in the model. Numerical illustration is provided to validate the model along with sensitivity analysis.
Journal: Int. J. of Mathematics in Operational Research
Pages: 286-299
Issue: 2
Volume: 24
Year: 2023
Keywords: inventory model; deteriorating items; partial replacement; carbon tax.
File-URL: http://www.inderscience.com/link.php?id=129460
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:2:p:286-299

Template-Type: ReDIF-Article 1.0
Author-Name: Surendra Babu Nallagorla
Author-X-Name-First: Surendra Babu
Author-X-Name-Last: Nallagorla
Author-Name: R. Dhanalakshmi
Author-X-Name-First: R.
Author-X-Name-Last: Dhanalakshmi
Title: Analysis of S-shaped, U-shaped and V-shaped transfer functions in IoMT datasets using binary Aquila optimisation techniques
Abstract:
The Aquila optimisation (AO), a metaheuristic approach, is motivated by the Aquila's natural behaviour when collecting prey. However, while the method shines at several benchmark functions, it fails to solve the binary optimisation problem. We suggested a binary version of AO (BAO) for feature selection (FS) concerns in classification tasks in this research using internet of medical things (IoMT) datasets. We used 12 (S, U, and V-shaped) transfer functions (TF) to transform continuous data into binary values. The proposed TFs demonstrate that BAO techniques, particularly S2-BAO, outperform alternative transfer functions. According to the results, the suggested approach, as compared to traditional transfer functions, converges to the global minimum in multiple rounds based on the selection of optimal attributes, fitness values, and improved classification accuracy.
Journal: Int. J. of Mathematics in Operational Research
Pages: 393-409
Issue: 3
Volume: 26
Year: 2023
Keywords: Aquila optimisation; classification; feature selection; metaheuristic optimisation.
File-URL: http://www.inderscience.com/link.php?id=134837
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:3:p:393-409

Template-Type: ReDIF-Article 1.0
Author-Name: J. Ebenesar Anna Bagyam
Author-X-Name-First: J. Ebenesar Anna
Author-X-Name-Last: Bagyam
Author-Name: P. Suganthi
Author-X-Name-First: P.
Author-X-Name-Last: Suganthi
Author-Name: P. Visali
Author-X-Name-First: P.
Author-X-Name-Last: Visali
Title: Unreliable single server retrial queueing model with repeated vacation
Abstract:
The steady-state behaviour of a single server retrial queueing model with server breakdown and repeated vacation is analysed. If the server is accessible, the customer gets service immediately; otherwise, the customer waits for his turn. After each service, the server may take a vacation with a certain probability. However, if the system is empty, the server takes repeated vacations until the server finds at least one customer in the system. If the server is prone to breakdown, the repair of the server starts immediately. After the repair, the server continues the service to the same customer. The retrial, service, repair, and vacation times are assumed as arbitrary distributed. The steady-state solutions for various performance measures are determined using the supplementary variable method.
Journal: Int. J. of Mathematics in Operational Research
Pages: 357-372
Issue: 3
Volume: 26
Year: 2023
Keywords: retrial queue; repeated vacation; server breakdown; repair; unreliable server; performance measures; numerical analysis; call centre; multiple vacation; supplementary variable technique.
File-URL: http://www.inderscience.com/link.php?id=134838
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:3:p:357-372

Template-Type: ReDIF-Article 1.0
Author-Name: Lyes Ikhlef
Author-X-Name-First: Lyes
Author-X-Name-Last: Ikhlef
Author-Name: Djamil Aïssani
Author-X-Name-First: Djamil
Author-X-Name-Last: Aïssani
Author-Name: Ouiza Lekadir
Author-X-Name-First: Ouiza
Author-X-Name-Last: Lekadir
Title: Steady state analysis of <i>M</i>/<i>G</i>/1 retrial queue with vacation and server timeout using a Petri net formalism
Abstract:
In this paper, we analyse an &lt;i&gt;M&lt;/i&gt;/&lt;i&gt;G&lt;/i&gt;/1 retrial queue with vacation and server timeout. When the system is empty, the server waits for a random time. At the expiration of this time, if there is no arrival to the system, the server takes a vacation. If there is at least one customer in the system, the server commences service. So, we propose an unbounded Markov regenerative stochastic Petri net (&lt;i&gt;MRSPN&lt;/i&gt;) to model this queueing system. For the qualitative analysis of this model, we combine the Markov regenerative approach and the generating function technique. Finally, numerical illustrations are performed.
Journal: Int. J. of Mathematics in Operational Research
Pages: 373-392
Issue: 3
Volume: 26
Year: 2023
Keywords: retrial systems; Markov regenerative stochastic Petri nets; MRSPN; <i>M</i>/<i>G</i>/1; renewal theory; steady state; vacation policy; server timeout.
File-URL: http://www.inderscience.com/link.php?id=134839
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:3:p:373-392

Template-Type: ReDIF-Article 1.0
Author-Name: Radhika Agarwal
Author-X-Name-First: Radhika
Author-X-Name-Last: Agarwal
Author-Name: Divya Agarwal
Author-X-Name-First: Divya
Author-X-Name-Last: Agarwal
Author-Name: Shweta Upadhyaya
Author-X-Name-First: Shweta
Author-X-Name-Last: Upadhyaya
Title: Cost optimisation of a heterogeneous server queueing system with working breakdown using PSO
Abstract:
Persuaded by the applicability of queueing models, the reliability analysis and cost optimisation of &lt;i&gt;M&lt;SUP align="right"&gt;&lt;SMALL&gt;X&lt;/SMALL&gt;&lt;/SUP&gt;&lt;/i&gt;/&lt;i&gt;M&lt;/i&gt;/2 system consisting of heterogeneous servers (Server1 and Server2) is discussed in this article. The Server1 is steady and reliable which leaves for vacation as soon as there is no client available in the system while Server2 is unreliable and may breakdown while giving service to the client. No sooner the server fails, immediately the repair process starts and the server works at a lower speed instead of halting. The schematic diagram of the model gives the overview of the model. The sensitivity analysis is done for validation of the model by taking a numerical illustration and the results are visualised and validated with the help of graphs. Finally, the optimal service rates are obtained using particle swarm optimisation (PSO) technique for matrix method.
Journal: Int. J. of Mathematics in Operational Research
Pages: 410-424
Issue: 3
Volume: 26
Year: 2023
Keywords: heterogeneous (two) servers; matrix-geometric method; working breakdown; multiple vacations; cost optimisation; particle swarm optimisation; PSO.
File-URL: http://www.inderscience.com/link.php?id=134842
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Handle: RePEc:ids:ijmore:v:26:y:2023:i:3:p:410-424

Template-Type: ReDIF-Article 1.0
Author-Name: Emmanuel Oluseye Adeyefa
Author-X-Name-First: Emmanuel Oluseye
Author-X-Name-Last: Adeyefa
Author-Name: Ezekiel Olaoluwa Omole
Author-X-Name-First: Ezekiel Olaoluwa
Author-X-Name-Last: Omole
Title: A continuous five-step implicit block unification method for numerical solution of second-order elliptic partial differential equations
Abstract:
A continuous implicit block unification method (CIBUM) is developed through the interpolation and collocation approach using Hermite polynomial as the basis function. The method is chosen within the interval of step-number of five. The basis function was interpolated at the first two consecutive points while the collocation was done at all the points within the interval of integration. The discrete scheme and their corresponding first derivative were combined to form the five-step implicit block unification method (FIBUM) of order six. The FIBUM is applied to solve second-order elliptic partial differential equations via the method of lines by transforming the PDEs into ODEs. The basic properties of FIBUM were investigated and found to be convergence and p-stable. The method was implemented on five test problems varying from linear, nonlinear, and nonlinear Klein-Gordon differential equations, and the results were presented. The results established the accuracy of the FIBUM over the existing ones.
Journal: Int. J. of Mathematics in Operational Research
Pages: 360-386
Issue: 3
Volume: 24
Year: 2023
Keywords: implicit block unification method; method of lines; second-order elliptic PDEs; convergence; Hermite polynomial; initial and boundary value problems; nonlinear Klein-Gordon differential equations.
File-URL: http://www.inderscience.com/link.php?id=129482
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:3:p:360-386

Template-Type: ReDIF-Article 1.0
Author-Name: M. Revathi
Author-X-Name-First: M.
Author-X-Name-Last: Revathi
Author-Name: M. Valliathal
Author-X-Name-First: M.
Author-X-Name-Last: Valliathal
Title: Website selection for online shopping by multi-criteria decision analysis using symmetric hendecagonal fuzzy number
Abstract:
Fuzzy decision-making offers comprehensive resources that can tackle with uncertainty in different categories of decision-making problems that can be developed for best website selection. The main intention of this research is to propose a website evaluation model using fuzzy multi-criteria group decision-making (FMCGDM) method. The opinions of the experts are recorded by linguistic terms that can be conveyed in a new generalised structure of the fuzzy number named symmetric hendecagonal fuzzy number (SymmHDFN). On this basis, the evaluation model is suggested and implemented for four major online shopping websites with alternatives, and the influential criteria that control online shopping are taken into account. Simple additive weighting (SAW) procedure is applied to evaluate the websites in this study. A ranking system based on the centroid procedure is extended to SymmHDFN and implemented on the websites being considered.
Journal: Int. J. of Mathematics in Operational Research
Pages: 339-359
Issue: 3
Volume: 24
Year: 2023
Keywords: symmetric hendecagonal fuzzy number; SymmHDFN; fuzzy decision-making; centroid method; simple additive weighting; SAW; ranking fuzzy numbers.
File-URL: http://www.inderscience.com/link.php?id=129485
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:3:p:339-359

Template-Type: ReDIF-Article 1.0
Author-Name: Sanju Kumar
Author-X-Name-First: Sanju
Author-X-Name-Last: Kumar
Author-Name: Ravish Kumar Yadav
Author-X-Name-First: Ravish Kumar
Author-X-Name-Last: Yadav
Author-Name: Aashish Singh
Author-X-Name-First: Aashish
Author-X-Name-Last: Singh
Title: Study on fuzzy inventory model for deteriorating items with recurring seasonal demand pattern
Abstract:
In this study, a fuzzy inventory model has been developed for deteriorating items with recurring seasonal demand pattern and ramp type growth in demand season-by-season which varies with time. It is well known, there is a lot of complexity in the market and hence cost components cannot be calculated precisely. Therefore, to handle this impreciseness, a triangular fuzzy number is assigned for different cost components and defuzzified by using signed distance method. We optimised the total cost function which depends on the time length of the planning period. Proposed model has been illustrated by numerical examples. Sensitivity analysis has also been carried out on variation of different parameters.
Journal: Int. J. of Mathematics in Operational Research
Pages: 408-424
Issue: 3
Volume: 24
Year: 2023
Keywords: fuzzy inventory; recurring seasonal demand pattern; deterioration; triangular fuzzy number; signed distance method.
File-URL: http://www.inderscience.com/link.php?id=129487
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:3:p:408-424

Template-Type: ReDIF-Article 1.0
Author-Name: S. Radha
Author-X-Name-First: S.
Author-X-Name-Last: Radha
Author-Name: S. Maragathasundari
Author-X-Name-First: S.
Author-X-Name-Last: Maragathasundari
Author-Name: C. Swedheetha
Author-X-Name-First: C.
Author-X-Name-Last: Swedheetha
Title: Analysis on a non-Markovian batch arrival queuing model with phases of service and multi vacations in cloud computing services
Abstract:
We investigate a new variant of the M&lt;SUP align="right"&gt;&lt;SMALL&gt;[X]&lt;/SMALL&gt;&lt;/SUP&gt;/G/1 queue model with three levels of service and a single server in this study. The initial phase of service includes two types of service. Following that, the server provides the second level of service. During the service period, service interruption is unavoidable. This system also assumes that an interruption will occur during the second phase of service. As a result, it enters the repair process without delay. In addition, a vacation concept is introduced to carry out server maintenance work. A preprocessing work is performed in the setup time stage prior to the vacation stages. This model includes additional parameters such as reneging, setup time, and standby server. We find the stationary queue length of various system states using a probability generating function and derive various performance measures. Furthermore, some numerical examples are provided to investigate the impact of system parameters.
Journal: Int. J. of Mathematics in Operational Research
Pages: 425-449
Issue: 3
Volume: 24
Year: 2023
Keywords: supplementary variable technique; multi vacations; stages of service; standby server and reneging.
File-URL: http://www.inderscience.com/link.php?id=129489
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:3:p:425-449

Template-Type: ReDIF-Article 1.0
Author-Name: P. Vijaya Laxmi
Author-X-Name-First: P. Vijaya
Author-X-Name-Last: Laxmi
Author-Name: Andwilile Abrahamu George
Author-X-Name-First: Andwilile Abrahamu
Author-X-Name-Last: George
Title: Analysis of non-Markovian batch service queue with second optional service under transient and steady state domain
Abstract:
This paper analyses the transient and steady state behaviour of a non-Markovian batch service queue with second optional service. The transient state probabilities are computed using the probability generating function, Rouche's theorem, and Laplace transform (L.T.) methods. The Tauberian property in the L.T. expressions is used to get steady state probabilities. Also, we obtain various performance measures along with cost optimisation and numerical results are presented by taking special cases of the service times. The results show the standard observation that the Erlang-&lt;i&gt;k&lt;/i&gt; type distribution reduces to an exponential distribution when &lt;i&gt;k&lt;/i&gt; &#61; 1 and when &lt;i&gt;k&lt;/i&gt; takes a large value, it becomes deterministic.
Journal: Int. J. of Mathematics in Operational Research
Pages: 387-407
Issue: 3
Volume: 24
Year: 2023
Keywords: non-Markovian; transient and steady state analysis; batch service queue; first essential service; second optional service.
File-URL: http://www.inderscience.com/link.php?id=129496
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:3:p:387-407

Template-Type: ReDIF-Article 1.0
Author-Name: Nurul Izzati Sydina
Author-X-Name-First: Nurul Izzati
Author-X-Name-Last: Sydina
Author-Name: Aida Mauziah Benjamin
Author-X-Name-First: Aida Mauziah
Author-X-Name-Last: Benjamin
Author-Name: Norazura Ahmad
Author-X-Name-First: Norazura
Author-X-Name-Last: Ahmad
Author-Name: Ditdit Nugeraha Utama
Author-X-Name-First: Ditdit Nugeraha
Author-X-Name-Last: Utama
Title: An optimisation model for lecturer-committee assignment problem: a case study
Abstract:
This study focuses on the lecturer-committee assignment problem at the School of Quantitative Sciences (SQS), Universiti Utara Malaysia (UUM). In SQS, committees are established to support the school in achieving the UUM key performance indicators (KPIs). Therefore, each committee requires several lecturers to organise activities within their job specifications. Currently, lecturers are assigned manually to the committees by the SQS management team. There is no systematic approach to assign the lecturers to the committees. This may cause a lack of interest of the lecturers in their commitments and take a longer time for the whole process to complete. This study develops an integer programming (IP) model to assign the lecturers to committees by considering the lecturers' and management team's preferences to overcome these drawbacks. The optimal solution of the IP model provides a higher total preference weight than the current practice with an increment of 19.91%, reflecting a better solution.
Journal: Int. J. of Mathematics in Operational Research
Pages: 319-338
Issue: 3
Volume: 24
Year: 2023
Keywords: assignment problem; integer programming; optimal solution; education.
File-URL: http://www.inderscience.com/link.php?id=129500
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Handle: RePEc:ids:ijmore:v:24:y:2023:i:3:p:319-338

Template-Type: ReDIF-Article 1.0
Author-Name: Mona Bahrami
Author-X-Name-First: Mona
Author-X-Name-Last: Bahrami
Author-Name: Mehdi Seifbarghy
Author-X-Name-First: Mehdi
Author-X-Name-Last: Seifbarghy
Author-Name: Mohsen Hamidi
Author-X-Name-First: Mohsen
Author-X-Name-Last: Hamidi
Author-Name: Farshad Faghihzade
Author-X-Name-First: Farshad
Author-X-Name-Last: Faghihzade
Title: Comparing different types of robust possibilistic programming approaches in designing closed-loop networks
Abstract:
This paper introduces a multi-objective, multi-product, and multi-period closed-loop supply chain network model with uncertainty. The network includes suppliers, plants, distribution centres, hybrid processing centres, and customers in its forward chain while in the backward chain; it is composed of customers, collection centres, disposal centres, hybrid processing centres, and plants. The problem has three objectives for optimising profit: delivery time, and quality. With these three objectives, the model creates a balance between customer satisfaction and business profitability. The model also considers the impact of average useful life of products on their return. We use several types of robust possibilistic approaches and multi-choice goal programming to tackle uncertainty and the multi-objective nature of the problem. The model is applicable in a variety of businesses such as automobile, electrical, and electronic industries.
Journal: Int. J. of Mathematics in Operational Research
Pages: 463-491
Issue: 4
Volume: 25
Year: 2023
Keywords: supply chain planning; robust possibilistic programming; RPP; multi-choice goal programming; uncertainty; closed-loop networks.
File-URL: http://www.inderscience.com/link.php?id=132835
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:4:p:463-491

Template-Type: ReDIF-Article 1.0
Author-Name: P. Nagarajan
Author-X-Name-First: P.
Author-X-Name-Last: Nagarajan
Author-Name: R. Kalyanaraman
Author-X-Name-First: R.
Author-X-Name-Last: Kalyanaraman
Title: An <i>M</i><SUP align="right"><SMALL>[<i>X</i>]</SMALL></SUP>/<i>G</i><SUP align="right"><SMALL>(1, <i>K</i>)</SMALL></SUP>/1 queue with unreliable server and Bernoulli vacation
Abstract:
A Poisson arrival queue with batch arrival, service in a batch of variable size with a minimum of '1' and a maximum of '&lt;i&gt;K&lt;/i&gt;' customers is considered. After completion of service to the customers the server takes on Bernoulli vacation, also during the service of customers the server may breakdown. The supplementary variable technique is applied. The probability generating function of number of customers in the queue at different server states, mean queue size, and probability of server being idle are obtained. Some particular models are deduced. The amenability of the numerical treatment of this study is carried out. The numerical results are given in the form of tables and figures.
Journal: Int. J. of Mathematics in Operational Research
Pages: 492-510
Issue: 4
Volume: 25
Year: 2023
Keywords: Poisson process; batch arrival; batch service; Bernoulli vacation; unreliable server; supplementary variable technique; operating characteristics.
File-URL: http://www.inderscience.com/link.php?id=132836
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:4:p:492-510

Template-Type: ReDIF-Article 1.0
Author-Name: Safia Hocine
Author-X-Name-First: Safia
Author-X-Name-Last: Hocine
Author-Name: Djamil Aïssani
Author-X-Name-First: Djamil
Author-X-Name-Last: Aïssani
Author-Name: Aicha Bareche
Author-X-Name-First: Aicha
Author-X-Name-Last: Bareche
Author-Name: Zina Benouaret
Author-X-Name-First: Zina
Author-X-Name-Last: Benouaret
Title: Application of regenerative processes approach for the approximation of the ruin probability in a bivariate classical risk model with large claims
Abstract:
In order to reflect more accurately the insurance company's activity, risk models that have been recently studied in the literature are becoming increasingly complex. Moreover, the ruin probability associated with these models cannot be found explicitly. Using the theory of regenerative processes, the present paper focuses on the stability analysis of a two-dimensional classical risk model with large and independent claims. The obtained stability bound is explicitly written and applied to estimate the deviation of the ruin probability under the clarified perturbation domain of the parameters governing the considered model. This proposed approach based on the theory of regenerative processes is more suitable for the stability analysis of ruin probabilities of a risk model since it takes into account large claims, unlike the strong stability method based on Markov chains. A numerical comparison between the stability bounds obtained with both approaches (regenerative process approach and Markov chains approach) is performed, based on simulation results.
Journal: Int. J. of Mathematics in Operational Research
Pages: 433-462
Issue: 4
Volume: 25
Year: 2023
Keywords: regenerative process; strong stability; Markov chain; approximation; two-dimensional risk model; ruin probability.
File-URL: http://www.inderscience.com/link.php?id=132837
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:4:p:433-462

Template-Type: ReDIF-Article 1.0
Author-Name: Alaa Alden Al Mohamed
Author-X-Name-First: Alaa Alden Al
Author-X-Name-Last: Mohamed
Author-Name: Sobhi Al Mohamed
Author-X-Name-First: Sobhi Al
Author-X-Name-Last: Mohamed
Author-Name: Marwa Ahmad
Author-X-Name-First: Marwa
Author-X-Name-Last: Ahmad
Title: Solving aggregate production planning problem with uncertainty using fuzzy goal programming
Abstract:
This study proposes a fuzzy goal programming (FGP) model to address the planning problem in the work environment, especially in the field of production, and the factors affecting production planning. This study also played a great role in increasing interest in the function of aggregate production planning and everything related to activities and processes that contribute to product manufacturing through the optimal use of all available resources in organisations. This paper aimed to solve the problem of aggregate production planning in general corporation for the sugar industry, in a way that helps decision-makers to take appropriate decisions, especially under the fuzzy environment in which all sugar production companies operate, by identifying decision variables, levels of aspiration and tolerance. The fuzzy goal programming is used to reduce the cost of production and storage and the change in the level of the workforce, and to help the company meets the market need for the products it produces.
Journal: Int. J. of Mathematics in Operational Research
Pages: 527-547
Issue: 4
Volume: 25
Year: 2023
Keywords: aggregate production planning; APP; fuzzy goal programming; FGP; fuzzy logic; goal programming; plastic industry.
File-URL: http://www.inderscience.com/link.php?id=132838
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:4:p:527-547

Template-Type: ReDIF-Article 1.0
Author-Name: Fateme Kharidar
Author-X-Name-First: Fateme
Author-X-Name-Last: Kharidar
Author-Name: Mostafa Kazemi
Author-X-Name-First: Mostafa
Author-X-Name-Last: Kazemi
Author-Name: Alireza Pooya
Author-X-Name-First: Alireza
Author-X-Name-Last: Pooya
Author-Name: Amir Mohammad Fakoor Saghih
Author-X-Name-First: Amir Mohammad Fakoor
Author-X-Name-Last: Saghih
Title: A pricing and inventory control for perishable items with the inflation rate and retailer's returns
Abstract:
The impact of inflation and retail returns on perishable item joint pricing and inventory control is explored in this research, and a new model is given. The model is tested using a price and time-dependent demand function, as well as retailer's returns as a function of the selling price and order volume. The major aims of the study are to determine the optimal selling price, replenishment cycles, and order quantity all simultaneously; and to maximise the present value of the total profit over a given time horizon. Furthermore, it is displayed that the optimal replenishment cycle is unique at any price. It is then illustrated that the present value of the total profit is a concave function of price with an optimal value. Also, a simple algorithm was described for determining the optimal solution and model variables. Finally, a numerical example is used to indicate the solution algorithm, and the model's effectiveness is demonstrated by sensitivity analysis.
Journal: Int. J. of Mathematics in Operational Research
Pages: 548-569
Issue: 4
Volume: 25
Year: 2023
Keywords: pricing; inventory control; simultaneous pricing and inventory control; perishable; retailer; inflation; retailer's returns; time value of money; TVM; Iran.
File-URL: http://www.inderscience.com/link.php?id=132840
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:4:p:548-569

Template-Type: ReDIF-Article 1.0
Author-Name: Tahere Sayar
Author-X-Name-First: Tahere
Author-X-Name-Last: Sayar
Author-Name: Mojtaba Ghiyasi
Author-X-Name-First: Mojtaba
Author-X-Name-Last: Ghiyasi
Author-Name: Jafar Fathali
Author-X-Name-First: Jafar
Author-X-Name-Last: Fathali
Title: Inverse revenue and cost efficiency with budget and revenue constraints: applying hospital revenue and budget planning models
Abstract:
In basic inverse DEA problems, the goal is to find the least number of inputs to produce the desired number of outputs with the current efficiency level (input oriented) or find optimal output for the desired amount of input with the current efficiency level (output oriented). In the current paper, we propose new models of inverse DEA problems when input prices are available. We consider not only the technical and cost efficiency simultaneously but also the income level of production units. In comparison with the existing model including basic inverse and cost-revenue based models, we have more flexibility in terms of determining simultaneously input and output levels in our models. We utilise proposed models for the efficiency analysis and further post input-output and planning study of hospitals in Mashhad, Iran. Primary results show the need for equipment, namely, active bed in the expansion planning.
Journal: Int. J. of Mathematics in Operational Research
Pages: 511-526
Issue: 4
Volume: 25
Year: 2023
Keywords: DEA; inverse DEA; cost efficiency; revenue efficiency; income; budget; hospital.
File-URL: http://www.inderscience.com/link.php?id=132848
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Handle: RePEc:ids:ijmore:v:25:y:2023:i:4:p:511-526