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A lost sales (r, Q) inventory control model for perishables with fixed lifetime and lead time

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  • Kouki, Chaaben
  • Jemaï, Zied
  • Minner, Stefan

Abstract

We consider a perishable inventory system that operates under stochastic demand, constant lifetime and a constant lead time. The system employs a continuous review (r,Q) inventory control policy where unfilled demands are lost. We investigate the properties of the cost function and present an approximation procedure to find the parameters r and Q that minimize the total cost. We then conduct a numerical analysis to examine the performance of the proposed model and study the sensitivity to changes in the system parameters. We demonstrate the suitability of the proposed approximations compared to optimal (r,Q) parameters obtained by simulation and show that our proposal outperforms another approximation procedure from the literature, in particular for increasing ordering cost and demand variability. The proposed model contributes to the literature by providing a simple and efficient algorithm to compute the best (r, Q) parameters that minimize the total cost. Besides, it can be used in automated store ordering systems.

Suggested Citation

  • Kouki, Chaaben & Jemaï, Zied & Minner, Stefan, 2015. "A lost sales (r, Q) inventory control model for perishables with fixed lifetime and lead time," International Journal of Production Economics, Elsevier, vol. 168(C), pages 143-157.
    • Handle: RePEc:eee:proeco:v:168:y:2015:i:c:p:143-157
    DOI: 10.1016/j.ijpe.2015.06.010
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    3. Broekmeulen, Rob A.C.M. & van Donselaar, Karel H., 2019. "Quantifying the potential to improve on food waste, freshness and sales for perishables in supermarkets," International Journal of Production Economics, Elsevier, vol. 209(C), pages 265-273.
    4. Chernonog, Tatyana, 2020. "Inventory and marketing policy in a supply chain of a perishable product," International Journal of Production Economics, Elsevier, vol. 219(C), pages 259-274.
    5. Jian Li & Lu Liu & Hao Hu & Qiuhong Zhao & Libin Guo, 2018. "An Inventory Model for Deteriorating Drugs with Stochastic Lead Time," IJERPH, MDPI, vol. 15(12), pages 1-20, December.
    6. Emre Berk & Ülkü Gürler & Saeed Poormoaied, 2020. "On the $$\varvec{(Q,r)}$$(Q,r) policy for perishables with positive lead times and multiple outstanding orders," Annals of Operations Research, Springer, vol. 284(1), pages 81-98, January.
    7. Yves Crama & Mahmood Rezaei & Martin Savelsbergh & Tom Van Woensel, 2018. "Stochastic Inventory Routing for Perishable Products," Transportation Science, INFORMS, vol. 52(3), pages 526-546, June.
    8. Li, Xiaoming, 2020. "Valuing lead-time and its variance in batch-ordering inventory policies," International Journal of Production Economics, Elsevier, vol. 228(C).
    9. Wu, Zhengping & Zhai, Xin & Liu, Zhongyi, 2015. "The inventory billboard effect on the lead-time decision," International Journal of Production Economics, Elsevier, vol. 170(PA), pages 45-53.
    10. Yonit Barron & Opher Baron, 2020. "The residual time approach for (Q, r) model under perishability, general lead times, and lost sales," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 92(3), pages 601-648, December.
    11. Mou, Shandong & Robb, David J. & DeHoratius, Nicole, 2018. "Retail store operations: Literature review and research directions," European Journal of Operational Research, Elsevier, vol. 265(2), pages 399-422.
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