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Optimal inventory policy when stockouts alter demand

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  • G. J. Caine
  • R. H. Plaut

Abstract

An inventory model in which future demand is affected by stockouts has been considered recently by B. L. Schwartz. Some generalizations of Schwartz's model are presented in this paper and properties of the optimal policies are determined. In the case of deterministic demand, a set‐up cost is included and a mixture of backlogged and nonbacklogged orders is allowed during stockout. It is proved that the optimal policy entails either no stockout or continual stockout, depending on the values of three parameters. For stochastic demand, the effect of stockouts on demand density is postulated, the resulting optimal inventory policy is discussed, and an example involving an exponential density function is then analyzed in detail.

Suggested Citation

  • G. J. Caine & R. H. Plaut, 1976. "Optimal inventory policy when stockouts alter demand," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 23(1), pages 1-13, March.
    • Handle: RePEc:wly:navlog:v:23:y:1976:i:1:p:1-13
    DOI: 10.1002/nav.3800230102
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    Cited by:

    1. Yan, Xiaoming & Chao, Xiuli & Lu, Ye, 2024. "Optimal control policies for dynamic inventory systems with service level dependent demand," European Journal of Operational Research, Elsevier, vol. 314(3), pages 935-949.
    2. Liberopoulos, George & Deligiannis, Michalis, 2022. "Optimal supplier inventory control policies when buyer purchase incidence is driven by past service," European Journal of Operational Research, Elsevier, vol. 300(3), pages 917-936.

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