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An Inventory Model under Trapezoidal Type Demand, Weibull-Distributed Deterioration, and Partial Backlogging

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  • Lianxia Zhao

Abstract

This paper studies an inventory model for Weibull-distributed deterioration items with trapezoidal type demand rate, in which shortages are allowed and partially backlogging depends on the waiting time for the next replenishment. The inventory models starting with no shortage is are to be discussed, and an optimal inventory replenishment policy of the model is proposed. Finally, numerical examples are provided to illustrate the theoretical results, and a sensitivity analysis of the major parameters with respect to the optimal solution is also carried out.

Suggested Citation

  • Lianxia Zhao, 2014. "An Inventory Model under Trapezoidal Type Demand, Weibull-Distributed Deterioration, and Partial Backlogging," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-10, March.
    • Handle: RePEc:hin:jnljam:747419
    DOI: 10.1155/2014/747419
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    Cited by:

    1. Janssen, Larissa & Claus, Thorsten & Sauer, Jürgen, 2016. "Literature review of deteriorating inventory models by key topics from 2012 to 2015," International Journal of Production Economics, Elsevier, vol. 182(C), pages 86-112.
    2. Jitendra Kaushik, 2024. "An inventory model for deteriorating items towards trapezoidal type demand with preservation technology," OPSEARCH, Springer;Operational Research Society of India, vol. 61(4), pages 1681-1712, December.
    3. Saha, Subrata & Chatterjee, Debajyoti & Sarkar, Biswajit, 2021. "The ramification of dynamic investment on the promotion and preservation technology for inventory management through a modified flower pollination algorithm," Journal of Retailing and Consumer Services, Elsevier, vol. 58(C).

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