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The Dynamic Inventory Problem with Unknown Demand Distribution

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  • Donald L. Iglehart

    (Cornell University)

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    Abstract

    In this paper we consider the dynamic inventory problem in which the demand distribution possesses a density belonging to either the exponential or range family of densities and having an unknown parameter. An a priori density is chosen for the unknown parameter. Using a Bayesian estimation scheme, inequalities are obtained for the optimal purchase policies as the amount of demand information varies. In addition, asymptotic expansions for the optimal policies are found as the number of observations of the demand becomes large. This paper extends the results of Scarf, [8].

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    File URL: http://dx.doi.org/10.1287/mnsc.10.3.429
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    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 10 (1964)
    Issue (Month): 3 (April)
    Pages: 429-440

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    Handle: RePEc:inm:ormnsc:v:10:y:1964:i:3:p:429-440

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    Cited by:
    1. Erik W. Larson & Sunil Sharma & Lars J. Olson, 2000. "Optimal Inventory Policies When the Demand Distribution is Not Known," IMF Working Papers 00/183, International Monetary Fund.
    2. Bitran, Gabriel R. & Wadhwa, Hitendra K. S. (Hitendra Kumar Singh), 1996. "A methodology for demand learning with an application to the optimal pricing of seasonal products," Working papers 3898-96., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    3. Halkos, George & Kevork, Ilias, 2012. "Evaluating alternative frequentist inferential approaches for optimal order quantities in the newsvendor model under exponential demand," MPRA Paper 39650, University Library of Munich, Germany.
    4. Bulinskaya, E. V., 2004. "Stochastic orders and inventory problems," International Journal of Production Economics, Elsevier, vol. 88(2), pages 125-135, March.
    5. Glenn, David & Bisi, Arnab & Puterman, Martin L., 2004. "The Bayesian Newsvendors in Supply Chains with Unobserved Lost Sales," Working Papers 04-0110, University of Illinois at Urbana-Champaign, College of Business.

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