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On the Ample Service Assumption of Palm's Theorem in Inventory Modeling

Author

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  • Donald Gross

    (The George Washington University)

Abstract

A key assumption of much of the continuous review inventory modeling work is that orders placed do not queue up, so that there is complete order crossing and hence order lead times are strictly independent random variables. This paper investigates the effects of this assumption (which is almost never true).

Suggested Citation

  • Donald Gross, 1982. "On the Ample Service Assumption of Palm's Theorem in Inventory Modeling," Management Science, INFORMS, vol. 28(9), pages 1065-1079, September.
  • Handle: RePEc:inm:ormnsc:v:28:y:1982:i:9:p:1065-1079
    DOI: 10.1287/mnsc.28.9.1065
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    Cited by:

    1. Rustenburg, W. D. & van Houtum, G. J. & Zijm, W. H. M., 2001. "Spare parts management at complex technology-based organizations: An agenda for research," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 177-193, May.
    2. de Haas, Harrie F. M. & Verrijdt, Jos H. C. M., 1997. "Target setting for the departments in an aircraft repairable item system," European Journal of Operational Research, Elsevier, vol. 99(3), pages 596-602, June.
    3. Selçuk, B., 2013. "An adaptive base stock policy for repairable item inventory control," International Journal of Production Economics, Elsevier, vol. 143(2), pages 304-315.
    4. S. Christian Albright, 1989. "An approximation to the stationary distribution of a multiechelon repairable‐item inventory system with finite sources and repair channels," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(2), pages 179-195, April.

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