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Future supply uncertainty in EOQ models

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  • Mahmut Parlar
  • Defne Berkin

Abstract

This article deals with an inventory problem where the supply is available only during an interval of (random) length X. The unavailability of supply lasts for a random duration Y. Using concepts from renewal theory, we construct an objective function (average cost/time) in terms of the order‐quantity decision variable Q. We develop the individual cost components as order, holding, and shortage costs after introducing two important random variables. Due to the complexity of the objective function when X and Y are general random variables, we discuss two special cases and provide numerical examples with sensitivity analysis on the cost and noncost parameters. The article concludes with a discussion of the comparison of the current model with random yield and random lead‐time models. Suggestions for further research are also provided.

Suggested Citation

  • Mahmut Parlar & Defne Berkin, 1991. "Future supply uncertainty in EOQ models," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(1), pages 107-121, February.
    • Handle: RePEc:wly:navres:v:38:y:1991:i:1:p:107-121
    DOI: 10.1002/1520-6750(199102)38:13.0.CO;2-4
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    Cited by:

    1. Sanjoy Kumar Paul & Ruhul Sarker & Daryl Essam, 2018. "A reactive mitigation approach for managing supply disruption in a three-tier supply chain," Journal of Intelligent Manufacturing, Springer, vol. 29(7), pages 1581-1597, October.
    2. Karakatsoulis, G. & Skouri, K., 2023. "A periodic review inventory model facing different disruption profiles," International Journal of Production Economics, Elsevier, vol. 265(C).
    3. Kosuke Kawakami & Hirokazu Kobayashi & Kazuhide Nakata, 2021. "Seasonal Inventory Management Model for Raw Materials in Steel Industry," Interfaces, INFORMS, vol. 51(4), pages 312-324, July.
    4. Saeed Poormoaied & Ece Zeliha Demirci, 2021. "Analysis of an inventory system with emergency ordering option at the time of supply disruption," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(4), pages 1007-1045, December.
    5. Mahmut Parlar & David Perry, 1996. "Inventory models of future supply uncertainty with single and multiple suppliers," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(2), pages 191-210, March.
    6. Luangkesorn, K.L. & Klein, G. & Bidanda, B., 2016. "Analysis of production systems with potential for severe disruptions," International Journal of Production Economics, Elsevier, vol. 171(P4), pages 478-486.
    7. Nader Azad & Elkafi Hassini, 2019. "A Benders Decomposition Method for Designing Reliable Supply Chain Networks Accounting for Multimitigation Strategies and Demand Losses," Transportation Science, INFORMS, vol. 53(5), pages 1287-1312, September.
    8. Taleizadeh, Ata Allah & Tafakkori, Keivan & Thaichon, Park, 2021. "Resilience toward supply disruptions: A stochastic inventory control model with partial backordering under the base stock policy," Journal of Retailing and Consumer Services, Elsevier, vol. 58(C).
    9. Nader Azad & Georgios Saharidis & Hamid Davoudpour & Hooman Malekly & Seyed Yektamaram, 2013. "Strategies for protecting supply chain networks against facility and transportation disruptions: an improved Benders decomposition approach," Annals of Operations Research, Springer, vol. 210(1), pages 125-163, November.
    10. Md. Tariqul Islam & Abdullahil Azeem & Masum Jabir & Ananna Paul & Sanjoy Kumar Paul, 2022. "An inventory model for a three-stage supply chain with random capacities considering disruptions and supplier reliability," Annals of Operations Research, Springer, vol. 315(2), pages 1703-1728, August.
    11. Asli Sencer Erdem & Mehmet Murat Fadilog̃lu & Süleyman Özekici, 2006. "An EOQ model with multiple suppliers and random capacity," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(1), pages 101-114, February.
    12. Mahmut Parlar, 2000. "Probabilistic Analysis of Renewal Cycles: An Application to a Non-Markovian Inventory Problem with Multiple Objectives," Operations Research, INFORMS, vol. 48(2), pages 243-255, April.
    13. Yimin Wang & Brian Tomlin, 2009. "To wait or not to wait: Optimal ordering under lead time uncertainty and forecast updating," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(8), pages 766-779, December.
    14. Antonio Arreola‐Risa & Gregory A. DeCroix, 1998. "Inventory management under random supply disruptions and partial backorders," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(7), pages 687-703, October.
    15. Konstantaras, I. & Skouri, K. & Lagodimos, A.G., 2019. "EOQ with independent endogenous supply disruptions," Omega, Elsevier, vol. 83(C), pages 96-106.
    16. Gregory A. DeCroix, 2013. "Inventory Management for an Assembly System Subject to Supply Disruptions," Management Science, INFORMS, vol. 59(9), pages 2079-2092, September.
    17. Yingjie Fan & Frank Schwartz & Stefan Voß & David L. Woodruff, 2017. "Stochastic programming for flexible global supply chain planning," Flexible Services and Manufacturing Journal, Springer, vol. 29(3), pages 601-633, December.
    18. Brian M. Lewis & Alan L. Erera & Maciek A. Nowak & White Chelsea C., 2013. "Managing Inventory in Global Supply Chains Facing Port-of-Entry Disruption Risks," Transportation Science, INFORMS, vol. 47(2), pages 162-180, May.
    19. Emre Berk & Antonio Arreola‐Risa, 1994. "Note on “future supply uncertainty in EOQ models”," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(1), pages 129-132, February.
    20. Bengisu Urlu & Nesim K. Erkip, 2020. "Safety stock placement for serial systems under supply process uncertainty," Flexible Services and Manufacturing Journal, Springer, vol. 32(2), pages 395-424, June.
    21. Lian Qi & Zuo‐Jun Max Shen, 2007. "A supply chain design model with unreliable supply," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(8), pages 829-844, December.
    22. Sevgen, Arya & Sargut, F. Zeynep, 2019. "May reorder point help under disruptions?," International Journal of Production Economics, Elsevier, vol. 209(C), pages 61-69.

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