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Optimality of Myopic Ordering Policies for Inventory Model with Stochastic Supply

Author

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  • Do Ba Khang

    (School of Management, Asian Institute of Technology, Bangkok, Thailand)

  • Okitsugu Fujiwara

    (School of Management, Asian Institute of Technology, Bangkok, Thailand)

Abstract

This paper addresses a discrete time inventory model where the maximum amount of supply from which instantaneous replenishment orders can be made is a random variable. Optimal ordering policies are characterized as critical number policies with monotone increasing optimal critical values. A sufficient condition is then presented for myopic ordering policies to be optimal.

Suggested Citation

  • Do Ba Khang & Okitsugu Fujiwara, 2000. "Optimality of Myopic Ordering Policies for Inventory Model with Stochastic Supply," Operations Research, INFORMS, vol. 48(1), pages 181-184, February.
    • Handle: RePEc:inm:oropre:v:48:y:2000:i:1:p:181-184
    DOI: 10.1287/opre.48.1.181.12442
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    References listed on IDEAS

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    1. Yunzeng Wang & Yigal Gerchak, 1996. "Periodic Review Production Models with Variable Capacity, Random Yield, and Uncertain Demand," Management Science, INFORMS, vol. 42(1), pages 130-137, January.
    2. Frank W. Ciarallo & Ramakrishna Akella & Thomas E. Morton, 1994. "A Periodic Review, Production Planning Model with Uncertain Capacity and Uncertain Demand---Optimality of Extended Myopic Policies," Management Science, INFORMS, vol. 40(3), pages 320-332, March.
    3. Mordechai Henig & Yigal Gerchak, 1990. "The Structure of Periodic Review Policies in the Presence of Random Yield," Operations Research, INFORMS, vol. 38(4), pages 634-643, August.
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    Cited by:

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    2. Brian Tomlin, 2006. "On the Value of Mitigation and Contingency Strategies for Managing Supply Chain Disruption Risks," Management Science, INFORMS, vol. 52(5), pages 639-657, May.
    3. Jian Yang, 2004. "Production Control in the Face of Storable Raw Material, Random Supply, and an Outside Market," Operations Research, INFORMS, vol. 52(2), pages 293-311, April.
    4. Jakšič, M. & Fransoo, J.C., 2015. "Optimal inventory management with supply backordering," International Journal of Production Economics, Elsevier, vol. 159(C), pages 254-264.
    5. Jakšič, M. & Fransoo, J.C., 2018. "Dual sourcing in the age of near-shoring: Trading off stochastic capacity limitations and long lead times," European Journal of Operational Research, Elsevier, vol. 267(1), pages 150-161.
    6. Wang, Haifeng & Chen, Bocheng & Yan, Houmin, 2010. "Optimal inventory decisions in a multiperiod newsvendor problem with partially observed Markovian supply capacities," European Journal of Operational Research, Elsevier, vol. 202(2), pages 502-517, April.
    7. Wang, Daao & Dimitrov, Stanko & Jian, Lirong, 2020. "Optimal inventory decisions for a risk-averse retailer when offering layaway," European Journal of Operational Research, Elsevier, vol. 284(1), pages 108-120.
    8. Dana G. Popescu & Pascale Crama, 2016. "Ad Revenue Optimization in Live Broadcasting," Management Science, INFORMS, vol. 62(4), pages 1145-1164, April.
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    10. Matthew J. Sobel & Volodymyr Babich, 2012. "Optimality of Myopic Policies for Dynamic Lot-Sizing Problems in Serial Production Lines with Random Yields and Autoregressive Demand," Operations Research, INFORMS, vol. 60(6), pages 1520-1536, December.

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