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International Journal of Inventory Research (3 papers in press)
Analysis of the Robustness of a Single-Tier Pipeline Inventory Model by Anthony White, Michael Censlive Abstract: This paper examines the conditions necessary to specify a robust element of a supply chain using control theory and proposes a new robustness criterion clearly separating robustness from resilience. Algebraic analysis, using the Mikhailov criterion to determine robustness, yields simple criteria for an automatic pipeline with variable inventory and order based production control system (APVIOBPCS) model. Models implemented with either exponential delays or finite delays are found to be completely robust
A new robustness measurement criterion is defined and applied to a case study of RAM manufacture. Results show that the continuous model of an APVIOBPCS system with an exponential delay has a wider allowable range of process delay time than other models and the range of permissible delay is sufficient to cope with a substantial increase in process delay time while retaining adequate performance and stability. Use of nonlinear inventory generally reduces the robustness range.
The techniques used here can also determine the effects of other parameters on robustness. Keywords: Robustness; APVIOBPCS; control theoretic models; continuous system; discrete system; Mikhailov criterion.
Inclusion of Two-warehouse production prototype for deteriorating inventory Items in Payments by Nirakar Niranjan Sethy, Nini Maharana, Ameeya Kumar Nayak, Soumya Swayamjyoti Abstract: In this study an inventory model is proposed for deteriorating items considering two separate warehouses, as own warehouse (OW) of finite dimension and the rented warehouse (RW) for keeping the extra elements higher than the specified accommodation of the OW in practice. A lower deterioration rate is provided by the RW compared to OW due to its better preserving amenity. Also, the holding cost per unit in OW is lower compared to RW. In this paper an inventory model is considered for deteriorating items with inclusion of a two-warehouse management with linear demand rate and delay in payment. The objective of this work is to obtain the best fit replenishment strategies with minimization of the total inventory cost. Numerical experiments are conducted with the developed mathematical model considering various parameters such as order, units and year. A sensitivity analysis is made to obtain optimal solutions with the change of parametric values with time. Keywords: Inventory management; Two-ware house; Replenishment strategies; Sensitivity analysis.
A Production Stock Model for a Distributed Deteriorating Product with both Price and Time Dependent Demand Rate under Inflation and Late Paying Allowing Shortages by M. Dhivya Lakshmi, Pandian Ponnaiah Abstract: This paper develops a production stock model for deteriorating products with shortages under the effect of inflation and late paying in which demand is a function of selling price and time. In this article, the model is considered with different deterioration distributions and various time dependent holding costs. This model aids in maximising the total inventory cost by finding the two production periods, the consumption period and the shortage period. Numerical example is presented to understand the developed model. Also, the effect of changes in different parameters on the optimal total cost is graphically presented. Keywords: Inventory model; Production; Deterioration; Shortages; Inflation; Permissible delay in payments; Total profit.