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An EPQ model for non-instantaneous deteriorating item with time dependent holding cost and exponential demand rate

Author

Listed:
  • Shilpy Tayal
  • S.R. Singh
  • Rajendra Sharma
  • Anubhav Pratap Singh

Abstract

We consider the problem of a vendor that supplies an item to the buyer, which is a function of non-instantaneous deterioration. It is an integrated production inventory model of non-instantaneous deteriorating item in which demand rate is exponential and production rate is a function of demand rate. The holding cost varies with time. Partially deteriorated items are allowed to sale with a discount rate from original one, and the units which are completely deteriorated, are superfluous. Shortages are not allowed. The optimal cycle time is derived and the result is applied to numerical problems. A solution procedure is presented to determine an optimal replenishment cycle such that the total cost is maximised. Numerical example is cited to illustrate the results and its significant features. Finally, to study the effect of changes of demand parameters, deterioration, price discount and holding cost, on supplier a sensitivity analysis is presented numerically.

Suggested Citation

  • Shilpy Tayal & S.R. Singh & Rajendra Sharma & Anubhav Pratap Singh, 2015. "An EPQ model for non-instantaneous deteriorating item with time dependent holding cost and exponential demand rate," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 23(2), pages 145-162.
    • Handle: RePEc:ids:ijores:v:23:y:2015:i:2:p:145-162
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    Citations

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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. Mrudul Y. Jani & Manish R. Betheja & Amrita Bhadoriya & Urmila Chaudhari & Mohamed Abbas & Malak S. Alqahtani, 2022. "Optimal Pricing Policies with an Allowable Discount for Perishable Items under Time-Dependent Sales Price and Trade Credit," Mathematics, MDPI, vol. 10(11), pages 1-19, June.
    3. Reza Maihami & Behrooz Karimi & Seyyed Mohammad Taghi Fatemi Ghomi, 2017. "Effect of two-echelon trade credit on pricing-inventory policy of non-instantaneous deteriorating products with probabilistic demand and deterioration functions," Annals of Operations Research, Springer, vol. 257(1), pages 237-273, October.

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