Analysis of inventory control model with shortage under time-dependent demand and time-varying holding cost including stochastic deterioration

Date

2018-01-01

Author

Pervin, Magfura
Roy, Sankar Kumar
Weber, Gerhard Wilhelm

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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In this paper, a deterministic inventory control model with deterioration is developed. Here, the deterioration rate follows stochastic deterioration, especially Weibull distribution deterioration. A time-dependent demand approach is introduced to show the applicability of our proposed model and to be up-to-date with respect to time. The main purpose of the paper is to investigate the optimal retailer's replenishment decisions for deteriorating items including time-dependent demand for demonstrating more practical circumstances within economic-order quantity frameworks. Keeping in mind the criterion of modern era, we consider that the holding cost is totally dependent on time, and shortages are allowed for this model. Subject to the formulated model, we minimize the total inventory cost. The mathematical model is explored by numerical examples to validate the proposed model. A sensitivity analysis of the optimal solution with regard to important parameters is also carried out to elaborate the quality, e.g., stability, of our result and to possibly modify our model. The paper ends with a conclusion and an outlook to future studies.

Subject Keywords

Inventory, Stochastic deterioration, Shortage, Time-dependent demand, Time-varying holding cost, Optimization

URI

https://hdl.handle.net/11511/58007

Journal

ANNALS OF OPERATIONS RESEARCH

DOI

https://doi.org/10.1007/s10479-016-2355-5

Collections

Graduate School of Applied Mathematics, Article

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Citation Formats

M. Pervin, S. K. Roy, and G. W. Weber, “Analysis of inventory control model with shortage under time-dependent demand and time-varying holding cost including stochastic deterioration,” ANNALS OF OPERATIONS RESEARCH, pp. 437–460, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/58007.