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Optimal Inventory Policies in Perturbed Demand Models

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  • B. L. Schwartz

    (The MITRE Corporation)

Abstract

Investigation is continued of inventory models in which customer good will is lost when stockout occurs. Several models are formulated and optimal policies for the firm are derived conceptually (i.e., algebraic equations satisfied by the optimal parameter values are determined). Both constant and distributed demand are considered, and it is shown that the same formulation applies to both.

Suggested Citation

  • B. L. Schwartz, 1970. "Optimal Inventory Policies in Perturbed Demand Models," Management Science, INFORMS, vol. 16(8), pages 509-518, April.
    • Handle: RePEc:inm:ormnsc:v:16:y:1970:i:8:p:b509-b518
    DOI: 10.1287/mnsc.16.8.B509
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    Citations

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    Cited by:

    1. Fernando Bernstein & Awi Federgruen, 2004. "A General Equilibrium Model for Industries with Price and Service Competition," Operations Research, INFORMS, vol. 52(6), pages 868-886, December.
    2. Ernst, Ricardo & Powell, Stephen G., 1998. "Manufacturer incentives to improve retail service levels," European Journal of Operational Research, Elsevier, vol. 104(3), pages 437-450, February.
    3. Junmin Shi & Michael Katehakis & Benjamin Melamed, 2013. "Martingale methods for pricing inventory penalties under continuous replenishment and compound renewal demands," Annals of Operations Research, Springer, vol. 208(1), pages 593-612, September.
    4. 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.
    5. Tava Lennon Olsen & Rodney P. Parker, 2008. "Inventory Management Under Market Size Dynamics," Management Science, INFORMS, vol. 54(10), pages 1805-1821, October.
    6. Vishal Gaur & Young-Hoon Park, 2007. "Asymmetric Consumer Learning and Inventory Competition," Management Science, INFORMS, vol. 53(2), pages 227-240, February.
    7. Liming Liu & Weixin Shang & Shaohua Wu, 2007. "Dynamic Competitive Newsvendors with Service-Sensitive Demands," Manufacturing & Service Operations Management, INFORMS, vol. 9(1), pages 84-93, June.
    8. Tianhu Deng & Zuo-Jun Max Shen & J. George Shanthikumar, 2014. "Statistical Learning of Service-Dependent Demand in a Multiperiod Newsvendor Setting," Operations Research, INFORMS, vol. 62(5), pages 1064-1076, October.
    9. Liberopoulos, George & Tsikis, Isidoros & Delikouras, Stefanos, 2010. "Backorder penalty cost coefficient "b": What could it be?," International Journal of Production Economics, Elsevier, vol. 123(1), pages 166-178, January.
    10. Erkip, Nesim Kohen, 2023. "Can accessing much data reshape the theory? Inventory theory under the challenge of data-driven systems," European Journal of Operational Research, Elsevier, vol. 308(3), pages 949-959.
    11. Eugene Khmelnitsky & Gonen Singer, 2015. "An optimal inventory management problem with reputation-dependent demand," Annals of Operations Research, Springer, vol. 231(1), pages 305-316, August.
    12. Dana, James D, Jr, 2001. "Competition in Price and Availability When Availability is Unobservable," RAND Journal of Economics, The RAND Corporation, vol. 32(3), pages 497-513, Autumn.
    13. Ernst, Ricardo & Powell, Stephen G., 1995. "Optimal inventory policies under service-sensitive demand," European Journal of Operational Research, Elsevier, vol. 87(2), pages 316-327, December.
    14. Argon, Nilay Tanik & Gullu, Refik & Erkip, Nesim, 2001. "Analysis of an inventory system under backorder correlated deterministic demand and geometric supply process," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 247-254, May.
    15. Lawrence W. Robinson & Rachel R. Chen, 2011. "Estimating the Implied Value of the Customer's Waiting Time," Manufacturing & Service Operations Management, INFORMS, vol. 13(1), pages 53-57, February.
    16. James D. Dana, Jr. & Nicholas C. Petruzzi, 2001. "Note: The Newsvendor Model with Endogenous Demand," Management Science, INFORMS, vol. 47(11), pages 1488-1497, November.
    17. 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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