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International Journal of Computing Science and Mathematics

 

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International Journal of Computing Science and Mathematics (25 papers in press)

 

Regular Issues

 

  • Vulnerability Analysis of Interaction-based Supply Chain Network and Its Self-organized Criticality   Order a copy of this article
    by Ren-Bin Xiao, Shanshan Xie, Tinggui Chen 
    Abstract: With the increasing complexity of the supply chain, it brings benefits as well as increasing vulnerability to the supply chain. Research on the cause and characteristic of vulnerability is prerequisite for effective management measures. First, a supply chain network model based on Possion distribution and preference selection mechanism was established, of which the interactions were further studied. On this basis, the cascading failure process of supply chain network was analyzed, and then the impact of supply chain network topology on the system vulnerability and the determination of node vulnerability were further discussed. Finally, an example of certain automotive group supply chain was used to verify the effectiveness and practicality of this method. The study found that the root of supply network vulnerability lies in cascading failure and there is a certain power-law relationship between its scale and frequency, namely supply chain network owns self-organized criticality, which affects the vulnerability of supply chain network. Meanwhile, the node vulnerability assessment method could provide an effective basis for taking preventive measures.
    Keywords: supply chain network; vulnerability; cascading failure; self-organized criticality(SOC)

  • An integrated resilient management approach to emergency logistics based on SOC   Order a copy of this article
    by Liang Geng, Ren-Bin Xiao, Ting-gui Chen 
    Abstract: As supply chain is becoming more vulnerable to disruptions, how to effectively prevent and respond to risks is a hot topic in supply chain management. In this paper, resilience management approach to supply chain risk control is applied, the practical problem of logistics distribution under the emergency environment is taken as an example and the implementation strategy of integrated resilience and its application effect are also discussed. This paper puts forward the integrated resilience management framework, which covers the early prevention, mid-term mitigation and later recovery. And it sets up resilience management mathematical model of logistics distribution and presents details about the implementation process of resilience strategy. The case study verified the effectiveness. Our method provides effective basis for resilience decision, which improves the real time capability and effectiveness of emergency logistics.
    Keywords: Resilience management; emergency logistics; SOC; Ant colony optimization.

  • A Framework for Generating Prioritized Test Scenarios using Firefly Optimization Technique   Order a copy of this article
    by Vikas Panthi, Durga Prasad Mohapatra 
    Abstract: The intention of this research is to generate test scenarios for concurrent and composite states in state machines using Firefly optimization algorithm. We have used state based coverage criterion such as state coverage, transition coverage, transition pair coverage etc. to evaluate the efficiency of our proposed algorithm. The proposed approach is useful for feasible test scenario generation. Generating exhaustive test scenarios for all concurrent interdependent sequences is exponential in size. As a result, in this paper, we find the important test scenarios in presence of concurrency in composite models.
    Keywords: Keywords: Test Scenario; Firefly Optimization Algorithm; State Machine Diagram; Coverage Criterion; Objective Function.

  • Numerical method for solving time-fractional multi-dimensional diffusion equations   Order a copy of this article
    by Amit Prakash, Manoj Kumar 
    Abstract: The key object of the current paper is to demonstrate a numerical technique to find the solution of fractional multi-dimensional diffusion equations that describe density dynamics in a material undergoing diffusion with the help of fractional variation iteration method (FVIM). Fractional variation iteration method is not confined to the minor parameter as usual perturbation method. This technique provides us analytical solution in the form of a convergent series with easily computable components. The advantage of this method over other method is that it does not require any linearization, perturbation and restrictive assumptions.
    Keywords: Fractional variational iteration method; Fractional multi-dimensional diffusion equations; He’s polynomials.

  • Research on Crawling mechanism and policy for crawling product information from Mobile Internet   Order a copy of this article
    by Chonghuan Xu, Shu Wang, Jia Chen 
    Abstract: Product information on the Mobile Internet grows fast in volume and becomes hard in acquisition. Companies tend to deliver product information on their well-tuned Mobile websites or websites that is responsive to various mobile devices. Thus, this kind of site is more of an web app than a traditional website, which we call a RIA(Rich Internet Application). With RIAs, information are kept secret from search engine spiders by means of HTML5, Ajax and other scripting techniques in deep web, user interactions are needed to trigger some prescribed events in some certain order to show the whole picture of the information we need. In this paper, we identified the crux of the problem is how to provide the mechanism to parse the scripts and manipulate DOM(Document Object Model) and the policy to trigger user events and run the scrape process. A new mechanism and policy was formulated based on web crawler techniques and studies in Ajax-specified web crawlers. By remodeling web pages redesigning the architecture of web crawler and refining scrape algorithm, we successfully scrape product data from Mobile Internet RIAs.
    Keywords: Crawler; Scrape data; Mobile Internet; RIA; Product information.

  • Special sequences in weighted graphs   Order a copy of this article
    by Sunil Mathew, Jill K. Mathew 
    Abstract: In a weighted graph, the edges are mainly classified into α, β and δ. In this Paper, some sequences in weighted graphs are introduced. These concepts are based on the above classification. Characterizations of partial blocks and partial trees are obtained. It is shown that β sequence of a partial tree is the zero sequence, and α sequence of a partial block is a binary sequence.
    Keywords: graph; tree; sequence; partial block; partial tree.

  • An optimal order a posteriori parameter choice strategy with modified Newton iterative scheme for solving nonlinear ill-posed operator equations   Order a copy of this article
    by Rajan M P, Pradeep D 
    Abstract: Study of inverse problems are interesting and mathematically challenging due to the fact that in most of the situation they are unstable with respect to perturbations of the data. In this paper to solve such operator equations, we propose a modified form of Gauss-Newton method combined with an a posteriori parameter choice strategy with the inexact data. Convergence and the convergence rate results are proven. We consider both a-priori and a-posteriori choice rule of parameter that guarantees the scheme converges to the exact solution. The theoretical results are illustrated through numerical examples and compared with the standard scheme to demonstrate that the scheme is stable and achieves good computational output. The salient features of our proposed scheme are: (i) Convergence analysis and desired convergence rate require only weaker assumptions compared to many assumptions used in the standard scheme in literature; (ii) Consideration of an adaptive and numerically stable a posteriori parameter strategy that gives the same order of convergence as that of an a priori method; (iii) Computation of an optimal order regularization parameter of the order O(δ2/3) using a discrepancy principle.
    Keywords: Nonlinear Ill-posed Problems; Regularization; Iterative Method.

  • Block Triangular and Skew Symmetric Splitting Method for Steady State Vector of Linear System of Erogodic Block Circulant Markov Chains   Order a copy of this article
    by Ranadheer Donthi, Rajaiah Dasari, Mallareddy Perati 
    Abstract: In this paper, we determine steady state probability vector (pie) of erogodic block Circulant Markov chain using block triangular and skew symmetric method. The homogeneous system (pie)Q=0 is transformed to the non homogeneous regularized linear system Ax=b, and proved that the matrix A=Q^T+(epsilon)I is positive definite for (epsilon)>0 We applied block triangular and skew symmetric splitting method to compute steady state probability vector of regularized linear system whose coefficient matrix is block circulant stochastic rate matrix. The contraction factor (alpha) minimizes the spectral radius of block iteration matrix of block coefficient matrix A. To improve computing efficiency of the TSS iteration, we employ ITSS iteration. From the numerical results it is clear that the error of TSS iteration method converges rapidly compare to other existing methods.
    Keywords: Circulant stochastic matrices; Steady state probability vector; Block triangular matrix; Block skew symmetric matrix; TSS Method; Convergence analysis.

  • Task Allocation Algorithm for Virtual Design Organization in Agile Industrial Design   Order a copy of this article
    by Gangjun Yang, Xueliang Zhang 
    Abstract: Agile industrial design is a kind of modern industrial design method to deal with the rapid change of market demand. From the perspective of the development trend of industrial design, virtual design organization will be an important form of agile design organizations. Task allocation of organization members is the primary work of agile industrial design practice, and it will involve many complex factors. Innovation as the core of industrial design determines its agility. Firstly, the characteristics of industrial design in agile environment were analyzed in this paper. On the basis of this study, the influencing factors of virtual organization task allocation were discussed, and the task allocation factors for virtual organization were summarized into five aspects, namely, difficulty of innovation, interest degree, ability of comprehensive design, emergency degree of design task, and busy degree of design work. Based on these, the paper focused on the definition of the difficulty coefficient of design exploration, and the calculation method of influencing factors and task allocation algorithm were given, and the results were verified by an example.
    Keywords: Agile industrial design; task allocation algorithm; virtual design organization.

  • Digital equipment maintenance decision model and its application research for low carbon environment   Order a copy of this article
    by Li Renwang, Wu Xinli, Luo Qing, Song Jinyu, Liu Xinxia, Cai Ping 
    Abstract: Abstract:In order to improve the resources and energy efficiency of digital device during the repair process, this paper take selected phase of S layer maintenance mode as device important degree analysis, considering the impact of environment during the repair process, use the modified fuzzy comprehensive evaluation method to describe the various elements of criticality for comprehensive evaluation, establish the digital equipment maintenance decision model for low-carbon environment; combine the qualitative and quantitative analysis to determine the level of membership evaluation factors, use the quasi excellent consistent matrix and variable weight comprehensive to improve the conventional weights, then, select the appropriate comprehensive evaluation model for solving the criticality, use the logic method to determine maintenance mode based on the degree of importance. Finally verify the correctness and practicability of the model by through an example.
    Keywords: Keywords: digital equipment; low carbon environment; maintenance decision.

  • Study on Clustering of Micro-Blog Business Enterprise Users Reputation Based on Web Crawler   Order a copy of this article
    by Meiyu Fang, Qibei Lu 
    Abstract: Micro-blog is a social tool of the new network era. It swept the world with its convenience of usage and real time release of information. PageRank and Hits algorithms are the most widely used method in the evaluation of Micro-Blogs influence. But the two algorithms have the deficiency of poor performance and unrelated to specified keywords. We proposed a Micro-blog enterprise users reputation analysis model based on clustering network and improved PageRank algorithm. The model was simulated with the Sina micro-blog data acquired by web crawler, and the model were compared with Hits and PageRank algorithm. The results show that the model has better convergence and its computational efficiency is superior to the traditional evaluation model based on PageRank or Hits algorithm.
    Keywords: Web crawler; E-commerce; Micro-blog.

  • Modular and homomorphic product of intuitionistic fuzzy graphs and their degree   Order a copy of this article
    by Sankar Sahoo, Madhumangal Pal 
    Abstract: An intuitionistic fuzzy graph is an extension of a fuzzy graph that give more precision, flexibility and compatibility to a system when compared with the system that designed using fuzzy graphs. In this paper, we define two new operations on intuitionistic fuzzy graphs, namely modular product and homomorphic product and study about the degree of the vertex of the resultant graph, which are obtained from two intuitionistic fuzzy graphs $G^prime$ and $G^{primeprime}$ using the operations modular product and homomorphic product. These operations will be used in computer science, geometry, algebra, operations research, etc.
    Keywords: Intuitionistic fuzzy graphs; modular product; homomorphic product.

  • The structural topology optimization based on parameterized level-set method in Isogeometric analysis   Order a copy of this article
    by Zijun Wu, Shuting Wang 
    Abstract: The Isogeometric analysis(IGA), which establishes a bridge between CAD and CAE, offers a new convenient framework of optimization. This article develops an approach to apply the non-uniform rational basis splines(NURBS) based IGA to the topology optimization using parameterized level set method. Here, the objective function is evaluated according to the basis function of NURBS and the level set function is constructed through collocation points using the compactly supported radial basis function. To evaluate the equivalent strain energy for each elements, the level-set function value of every node is calculated from the corresponding value of collocation points. We have compared the numerical result accuracy as well as the time cost of the proposed method, and it turns out to be very promising.
    Keywords: Isogeometric analysis; Topology optimization; Level set method; Radial basis functions.

  • Solving Systems of Nonlinear Equations via Conjugate Direction Flower Pollination Algorithm   Order a copy of this article
    by Mohamed Abdelbaset, Ibrahim Hezam 
    Abstract: In this paper, we propose a new hybrid algorithm for solving system of nonlinear equations. The aim of hybridization is to utilize the feature of flower pollination algorithm (FPA) and conjugate direction method CD. conjugate direction flower pollination algorithm (CDFPA) combine the advantages of CD and FPA. The problem of solving nonlinear equations is equivalently changed to the problem of function optimization, and then a solution is obtained by CDFPA. The results show the proposed algorithm has high convergence speed and accuracy for solving nonlinear equations.
    Keywords: Flower pollination algorithm; Meta-heuristics; Optimization; Conjugate direction method; Nonlinear Equations.

  • An encoding and reconstructing method with robust transmission for 3D model topological data over wireless network   Order a copy of this article
    by Huiqin Wang, Bailin Yang 
    Abstract: This paper proposes an encoding and reconstructing method with robust transmission for 3D model topological data. For the encoding of topological data, we firstly adopt the valence-driven method to visit the full mesh and give each vertex a sequence number, degree information and the neighboring vertex information. Then, we adopt the improved graph coloring algorithm to color each vertex according to the sequence number of vertex. Thirdly, we divide the 3D model into several packets according to vertexs color. Finally, we use the Huffman coding to compress model. For the reconstructing of topological data, when the client receives packets, we design an effective reconstructing method by combining degree information, the neighboring vertex information with special traversal rule to reconstruct the model. Experimental results show that even in the high packet loss rate, the model can also obtain a good reconstruction result.
    Keywords: Topological data encoding; Model reconstructing; Graph coloring; Wireless network; Model Transmission.

  • The most suitable scheme selection of mechanical product configuration based on multi-objective decision analysis   Order a copy of this article
    by Bo Wei, Renwang Li, Gang Chen 
    Abstract: In the process of mechanical product configuration, if there is more than one feasible scheme, it is required to choose the one which is most consistent with the actual conditions of core enterprise. These actual conditions include cost, quality, delivery time and other factors that are related to the interests of the core enterprise. We propose to find the most suitable scheme from the feasible scheme set by using data envelopment analysis. By comparing the projected variable and the original data, we also know how much improvement can be achieved for a specific scheme. The above algorithm is verified and illustrated using a case study.
    Keywords: carbon footprint; multi-objective decision-making; product configuration; data envelopment analysis.

  • Randomness of Lacunary statistical acceleration convergence of $Gamma^{3}$ over $p-$ metric spaces defined by Orlicz functions   Order a copy of this article
    by Nagarajan Subramanian 
    Abstract: In this article the notion of Randomness of Lacunary statistical acceleration convergence of $Gamma^{3}$ over $p-$ metric spaces defined by sequence of Orlicz has been introduced and some theorems related to that concept have been established using the four dimensional matrix transformations. Author's construction with new definitions and also new statement of theorems of proofs are formulated. rn\textbf{keywords :} analytic sequence, double sequences, $Gamma^{3}$ space, Musielak - Orlicz function, Random $p-$ metric space, Lacunary sequence, Statistical convergence, Converging faster, Converging at the same rate, Acceleration field, triple natural density.
    Keywords: analytic sequence; double sequences; $Gamma^{3}$ space; Musielak - Orlicz function; Random $p-$ metric space; Lacunary sequence; Statistical convergence; Converging faster; Converging at the same rate; Acceleration field; triple natural density.

  • Generalized triple difference of rough intuitionistic statistical convergence in probability of fractional order defined by Musielak-Orlicz function   Order a copy of this article
    by Nagarajan Subramanian 
    Abstract: We generalized the concepts in probability of rough intuitionistic convergence and rough intuitionistic statistically convergence by introducing the generalized difference operator $Delta^{alpha}_{gamma}$ of fractional order, where $alpha$ is a proper fraction and $gamma=left(gamma_{mnk}right)$ is any fixed sequence of nonzero real or complex numbers. We study some properties of this operator and investigate the topological structures of related of triple difference sequence spaces of $chi^{3}_{f}left(Delta^{alpha}_{gamma}x_{mnk}right)$.rnindent The main focus of the present paper is to generalized rough intuitionistic convergence and rough intuitionistic statistical difference of triple difference sequence spaces of $chi^{3}$ and investigate their topological structures as well as some interesting results concerning the operator $Delta^{alpha}_{gamma}.$ rn
    Keywords: analytic sequence; Orlicz function; triple sequences; chi sequence; intuitionistic; statistical convergence,Ces$acute{a}$ro $C_{1,1,1}-$ statistical convergence.

  • Bratu-like equation arising in electrospinning process: a Green's function fixed-point iteration approach   Order a copy of this article
    by Suheil Khuri, Ali Sayfy, Heba Kafri 
    Abstract: The aim of this article is to solve a Bratu-like nonlinear differential equation arising in electrospinning and vibration-electrospinningrn process that was recently introduced by Liu and Wang (2014). Electro-spinning process has been associated to Bratu equation through thermo-electro-hydrodynamics balance equations. The proposed strategy is based on embedding Green's function into Picard's fi xed point iteration scheme. Validation of the novel algorithm is demonstrated through numerical examples which comprise certain selected values of the parameters that appear in the modeled equation.
    Keywords: Bratu-like equation; electrospinning process; Green's functions; fixed-point iterations.

  • Optimisation of dangerous goods transport based on the improved ant colony algorithm   Order a copy of this article
    by Ruichun He, Changxi Ma, Qiang Xiao, Lei Qi 
    Abstract: As the transportation safety problem of dangerous goods becoming more and more important, this paper establishes an optimisation model for the dangerous goods transport based on the improved ant colony algorithm. Firstly, the optimisation model of dangerous goods transport is designed. Secondly, the optimisation algorithm is designed based on the ant colony algorithm and genetic algorithm. Finally, the model and algorithm are verified by a case. The result indicates that the optimisation model and algorithm of dangerous goods transport have an important guiding significance on the safety of dangerous goods transport.
    Keywords: Dangerous goods; Transport; Optimization; Ant colony algorithm.

  • Comparative analysis of selection schemes used in artificial bee colony algorithm   Order a copy of this article
    by Yiwen Zhong, Shihua Zhan, Zejun Zhang, Di Zhong, Hui Zhang 
    Abstract: Artificial bee colony (ABC) algorithm, which has explicit strategies to balance intensification and diversification, is a simple and effective swarm intelligence algorithm for both continuous and combinatorial optimization problems. Selection scheme, which is used by onlooker bees to select employed bees to follow, is an important factor for ABC algorithm to keep good balance between intensification and diversification. In this paper, a normalized fitness function for minimization problem is first proposed for roulette wheel selection, so ABC can still have enough selection pressure in late stage. And then, aim to analyse the effect of different selection schemes, systematic experiments were carried for roulette wheel selection, rank selection, tournament selection, and disruptive selection on a set of benchmark functions with different dimensions and different computation resources. Simulation results show that the suitability of a selection scheme depends not only on the features of benchmark functions and but also on the computation resources used. No selection scheme can always outperform other selection schemes on all benchmark functions.
    Keywords: artificial bee colony; swarm intelligence; selection schemes; normalized fitness function; continuous optimization problem.

  • Analysis of a Two-Unit Automatic Power Factor Controller System with Priority to Inspection over Repair/Replacement   Order a copy of this article
    by Roosel Jain, Gulshan Taneja, P.K. Bhatia 
    Abstract: For the present paper, a reliability model of Automatic Power Factor Controller (APFC) working in industrial companies has been developed using regenerative point technique. The system for the study consists of two cold standby identical units. Initially, the system is operative with controlled power factor. The inspection is carried out to detect the type of failure which can be due to fuse blown off, transformer burnt, programming problem, output relay faulty. But different type of failure requires different time to repair/replacement. Priority is given to repair/replacement based on estimated values of repair/replacement rates for different type of failure. Hence it is required to detect the type of failure as soon as possible which can be done by inspection only. In view of this inspection is given priority over repair/ replacement also. The various reliability indices of system effectiveness are obtained and graphs have been plotted for economic analysis of the system.
    Keywords: Automatic Power Factor Controller (APFC); controlled/uncontrolled power factor; reliability indices of system effectiveness; regenerative point technique.

  • A Hybrid Particle Swarm Optimization for Multi-Objective Flexible Job-Shop Scheduling Problem with Dual-Resources Constrained   Order a copy of this article
    by Jing Zhang, Jing Jie, Wanliang Wang, Xinli Xu 
    Abstract: This paper presents a hybrid discrete particle swarm algorithm for a multiple-objective flexible job-shop scheduling problem based on Maximum Fitness function. The problem has dual-resources constraints and considers both production time and production cost to be optimization objectives. An improved position updating method is proposed in global search mechanism to avoid the occurrence of infeasible solution. A dynamic random search strategy is designed as the local search mechanism to enhance the local exploiting search ability. A modified reservation strategy is used to maintain the external archives. Finally, simulation results demonstrate the feasibility and effectiveness of the proposed algorithm and that more uniform non-dominated solutions can be obtained.
    Keywords: discrete particle swarm optimization; dual-resource constrained; multi-objective optimization; flexible job shop scheduling problem.

  • An Improved Cuckoo Search Algorithm for Integer Programming Problems   Order a copy of this article
    by Yongquan Zhou, Mohamed Metwalli 
    Abstract: This paper presents a novel cuckoo search algorithm called elite opposition- cuckoo search algorithm (ECS) for solving integer programming problems. The opposite solution of the elite individual in the population is generated by an opposition-based strategy in the proposed algorithm and form an opposite search space by constructing the opposite population that locates inside the dynamic search boundaries, then, the search space of the algorithm is guided to approximate the space in which the global optimum is included by simultaneously evaluating the current population and the opposite one. The results show that ECS algorithm has faster convergence speed, higher computational precision, and is more effective for solving integer programming problems.
    Keywords: Elite Opposition; Cuckoo search; Integer programming problems.

  • Analysis of flow field of hydrodynamic suspension polishing disk based on multi-fractal method   Order a copy of this article
    by Xiaohang Shan, Beqing Ye, Li Zhang 
    Abstract: Amorphous film is an important amorphous material, which has a widely application prospect in the aspects of electronics, mechanics, chemical industry, national defence and so on. The quality of amorphous film substrate has a significant impact in the amorphous film performance. Hydrodynamic suspension polishing is a super-smooth and non-damage polishing method, which is suitable for the processing of amorphous film substrate. The characteristic of disks flow field is the key factor for influencing the quality of polishing. The movement and distribution of abrasives in flow field is analysed in this paper by high speed photography technology. The distribution of bubbles and abrasives is extracted by Matlab in the dynamic flow field of hydrodynamic suspension polishing based on fractal and multi-fractal theory. The multi-fractal spectra is calculated and the association of multi-fractal spectra is analysed. The results show that when buoyancy meets the requirement, the lower the polishing disk rotational speed, the more uniform abrasive distribution. Polishing effect will be better with well continuity of polishing slurry.
    Keywords: multi-fractal; flow field; multi-fractal spectra; suspension polishing.