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A coordinated multi-item inventory system for perishables with random lifetime

Author

Listed:
  • Zied Jemai

    (LGI - Laboratoire Génie Industriel - EA 2606 - CentraleSupélec)

  • Chaaben Kouki

    (LGI - Laboratoire Génie Industriel - EA 2606 - CentraleSupélec)

  • M Zied Babai
  • Stefan Minner

    (Department of Business Administration - Universität Wien = University of Vienna)

  • Zied Babai

Abstract

This paper considers the continuous review can-order ðs; c; SÞ policy for coordinating the replenishment of multiple perishable items with random lifetimes. For zero lead time, we model this inventory system as a Markov process. An iterative procedure is proposed to solve the joint replenishment problem for perishable items under positive lead time. We investigate the impact of perishability and cost parameters on the performance of the can-order policy and compare it to the optimal periodic review (s,S) policy.

Suggested Citation

  • Zied Jemai & Chaaben Kouki & M Zied Babai & Stefan Minner & Zied Babai, 2016. "A coordinated multi-item inventory system for perishables with random lifetime," Post-Print hal-01672388, HAL.
    • Handle: RePEc:hal:journl:hal-01672388
    DOI: 10.1016/j.ijpe.2016.01.013
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    1. Liu, Liming & Yang, Tao, 1999. "An (s,[punctuation space]S) random lifetime inventory model with a positive lead time," European Journal of Operational Research, Elsevier, vol. 113(1), pages 52-63, February.
    2. Khouja, Moutaz & Goyal, Suresh, 2008. "A review of the joint replenishment problem literature: 1989-2005," European Journal of Operational Research, Elsevier, vol. 186(1), pages 1-16, April.
    3. Edward Ignall, 1969. "Optimal Continuous Review Policies for Two Product Inventory Systems with Joint Setup Costs," Management Science, INFORMS, vol. 15(5), pages 278-283, January.
    4. Liming Liu & Zhaotong Lian, 1999. "(s, S) Continuous Review Models for Products with Fixed Lifetimes," Operations Research, INFORMS, vol. 47(1), pages 150-158, February.
    5. A. Federgruen & H. Groenevelt & H. C. Tijms, 1984. "Coordinated Replenishments in a Multi-Item Inventory System with Compound Poisson Demands," Management Science, INFORMS, vol. 30(3), pages 344-357, March.
    6. Chaaben Kouki & Evren Sahin & Zied Jemai & Yves Dallery, 2013. "Assessing the impact of perishability and the use of time temperature technologies on inventory management," Post-Print hal-01672396, HAL.
    7. Larsen, Christian, 2009. "The Q(s,S) control policy for the joint replenishment problem extended to the case of correlation among item-demands," International Journal of Production Economics, Elsevier, vol. 118(1), pages 292-297, March.
    8. S. Kalpakam & S. Shanthi, 2006. "A continuous review perishable system with renewal demands," Annals of Operations Research, Springer, vol. 143(1), pages 211-225, March.
    9. Lian, Zhaotong & Liu, Xiaoming & Zhao, Ning, 2009. "A perishable inventory model with Markovian renewal demands," International Journal of Production Economics, Elsevier, vol. 121(1), pages 176-182, September.
    10. Goyal, S. K. & Giri, B. C., 2001. "Recent trends in modeling of deteriorating inventory," European Journal of Operational Research, Elsevier, vol. 134(1), pages 1-16, October.
    11. Melchiors, Philip, 2002. "Calculating can-order policies for the joint replenishment problem by the compensation approach," European Journal of Operational Research, Elsevier, vol. 141(3), pages 587-595, September.
    12. Kouki, Chaaben & Sahin, Evren & Jemaï, Zied & Dallery, Yves, 2013. "Assessing the impact of perishability and the use of time temperature technologies on inventory management," International Journal of Production Economics, Elsevier, vol. 143(1), pages 72-85.
    13. Joseph L. Balintfy, 1964. "On a Basic Class of Multi-Item Inventory Problems," Management Science, INFORMS, vol. 10(2), pages 287-297, January.
    14. Nielsen, Christina & Larsen, Christian, 2005. "An analytical study of the Q(s,S) policy applied to the joint replenishment problem," European Journal of Operational Research, Elsevier, vol. 163(3), pages 721-732, June.
    15. Derek R. Atkins & Paul O. Iyogun, 1988. "Periodic Versus "Can-Order" Policies for Coordinated Multi-Item Inventory Systems," Management Science, INFORMS, vol. 34(6), pages 791-796, June.
    16. Gerard Cachon, 2001. "Managing a Retailer's Shelf Space, Inventory, and Transportation," Manufacturing & Service Operations Management, INFORMS, vol. 3(3), pages 211-229, July.
    17. S. Viswanathan, 1997. "Note. Periodic Review (s, S) Policies for Joint Replenishment Inventory Systems," Management Science, INFORMS, vol. 43(10), pages 1447-1454, October.
    18. Howard J. Weiss, 1980. "Optimal Ordering Policies for Continuous Review Perishable Inventory Models," Operations Research, INFORMS, vol. 28(2), pages 365-374, April.
    19. Bakker, Monique & Riezebos, Jan & Teunter, Ruud H., 2012. "Review of inventory systems with deterioration since 2001," European Journal of Operational Research, Elsevier, vol. 221(2), pages 275-284.
    20. Schultz, Helle & Johansen, Soren Glud, 1999. "Can-order policies for coordinated inventory replenishment with Erlang distributed times between ordering," European Journal of Operational Research, Elsevier, vol. 113(1), pages 30-41, February.
    21. Zied Jemai & Chaaben Kouki & Evren Sahin & Yves Dallery, 2014. "Analysis of a periodic review inventory control system with perishables having random lifetime," Post-Print hal-01672391, HAL.
    22. Charles P. Schmidt & Steven Nahmias, 1985. "(S - 1, S) Policies for Perishable Inventory," Management Science, INFORMS, vol. 31(6), pages 719-728, June.
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    Cited by:

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    2. Avinadav, Tal, 2020. "The effect of decision rights allocation on a supply chain of perishable products under a revenue-sharing contract," International Journal of Production Economics, Elsevier, vol. 225(C).
    3. Jiseong Noh & Jong Soo Kim & Seung-June Hwang, 2020. "A Multi-Item Replenishment Problem with Carbon Cap-and-Trade under Uncertainty," Sustainability, MDPI, vol. 12(12), pages 1-15, June.
    4. Luo Renfei & Huang Jiedan & Lee Jimmy & Pun Philip, 2018. "A Case Study of Supply Chain Management in a Manufacturing Company in China," Nang Yan Business Journal, Sciendo, vol. 6(1), pages 1-20, June.
    5. Jian Zhang & Shuang He & Juliang Zhang & T. C. Edwin Cheng, 2020. "Purchase and retrieval competition for seasonal produce," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(3), pages 161-184, April.
    6. Hanukov, Gabi & Avinadav, Tal & Chernonog, Tatyana & Yechiali, Uri, 2020. "A service system with perishable products where customers are either fastidious or strategic," International Journal of Production Economics, Elsevier, vol. 228(C).
    7. Hanukov, Gabi, 2022. "Improving efficiency of service systems by performing a part of the service without the customer's presence," European Journal of Operational Research, Elsevier, vol. 302(2), pages 606-620.
    8. Zhao, Yan & Li, Yanhui & Yao, Qi & Guan, Xu, 2023. "Dual-channel retailing strategy vs. omni-channel buy-online-and-pick-up-in-store behaviors with reference freshness effect," International Journal of Production Economics, Elsevier, vol. 263(C).
    9. Özgün Turgut & Florian Taube & Stefan Minner, 2018. "Data-driven retail inventory management with backroom effect," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(4), pages 945-968, October.
    10. Y. Barron, 2019. "A state-dependent perishability (s, S) inventory model with random batch demands," Annals of Operations Research, Springer, vol. 280(1), pages 65-98, September.
    11. Liu, Hengyu & Zhang, Juliang & Zhou, Chen & Ru, Yihong, 2018. "Optimal purchase and inventory retrieval policies for perishable seasonal agricultural products," Omega, Elsevier, vol. 79(C), pages 133-145.
    12. Gong, Min & Lian, Zhaotong & Xiao, Hua, 2022. "Inventory control policy for perishable products under a buyback contract and Brownian demands," International Journal of Production Economics, Elsevier, vol. 251(C).
    13. Zhang, Ren-Qian & Yi, Meng & Wang, Qi-Qi & Xiang, Chen, 2018. "Polynomial algorithm of inventory model with complete backordering and correlated demand caused by cross-selling," International Journal of Production Economics, Elsevier, vol. 199(C), pages 193-198.
    14. Gharbi, Ali & Kenné, Jean-Pierre & Kaddachi, Rawia, 2022. "Dynamic optimal control and simulation for unreliable manufacturing systems under perishable product and shelf life variability," International Journal of Production Economics, Elsevier, vol. 247(C).

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