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Expected time delay in multi‐item inventory systems with correlated demands

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  • Rachel Q. Zhang

Abstract

This paper considers multi‐item inventory systems where a customer order may require several different items (i.e., demands are correlated across items) and customer satisfaction is measured by the time delays seen by the customers. Most inventory models on time delay in the literature assume each demand only requires one item (i.e., demands are not correlated across items or are independent). In this paper, we derive an exact expression for the expected total time delay. We show that when items are actually correlated, assuming items are independent leads to an overestimate of the total time delay. However, (1) it is extremely difficult in practice to obtain the demand information for all demand types (especially in a system with tens of thousands of part numbers), and (2) the problem becomes too complicated to be of practical interest when the correlation is considered. We then explore the possibility of including the demand information partially and develop bounds for the time delays. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 671–688, 1999

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  • Rachel Q. Zhang, 1999. "Expected time delay in multi‐item inventory systems with correlated demands," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(6), pages 671-688, September.
  • Handle: RePEc:wly:navres:v:46:y:1999:i:6:p:671-688
    DOI: 10.1002/(SICI)1520-6750(199909)46:63.0.CO;2-E
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    References listed on IDEAS

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    1. Stephen C. Graves, 1982. "Note---A Multiple-Item Inventory Model with a Job Completion Criterion," Management Science, INFORMS, vol. 28(11), pages 1334-1337, November.
    2. Salvatore T. March & Gary D. Scudder, 1984. "Note---On "Optimizing Field Repair Kits Based on Job Completion Rate"," Management Science, INFORMS, vol. 30(8), pages 1025-1028, August.
    3. John W. Mamer & Stephen A. Smith, 1982. "Optimizing Field Repair Kits Based on Job Completion Rate," Management Science, INFORMS, vol. 28(11), pages 1328-1333, November.
    4. Jing-Sheng Song & Susan H. Xu & Bin Liu, 1999. "Order-Fulfillment Performance Measures in an Assemble-to-Order System with Stochastic Leadtimes," Operations Research, INFORMS, vol. 47(1), pages 131-149, February.
    5. John W. Mamer & Stephen A. Smith, 1985. "Job Completion Based Inventory Systems: Optimal Policies for Repair Kits and Spare Machines," Management Science, INFORMS, vol. 31(6), pages 703-718, June.
    6. Stephen A. Smith & John C. Chambers & Eli Shlifer, 1980. "Note---Optimal Inventories Based on Job Completion Rate for Repairs Requiring Multiple Items," Management Science, INFORMS, vol. 26(8), pages 849-854, August.
    7. John W. Mamer & Andrew W. Shogan, 1987. "A Constrained Capital Budgeting Problem with Applications to Repair Kit Selection," Management Science, INFORMS, vol. 33(6), pages 800-806, June.
    8. Antony Svoronos & Paul Zipkin, 1991. "Evaluation of One-for-One Replenishment Policies for Multiechelon Inventory Systems," Management Science, INFORMS, vol. 37(1), pages 68-83, January.
    9. Hausman, Warren H. & Lee, Hau L. & Zhang, Alex X., 1998. "Joint demand fulfillment probability in a multi-item inventory system with independent order-up-to policies," European Journal of Operational Research, Elsevier, vol. 109(3), pages 646-659, September.
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    Cited by:

    1. Jianqiang Hu & Cheng Zhang & Chenbo Zhu, 2016. "( s , S ) Inventory Systems with Correlated Demands," INFORMS Journal on Computing, INFORMS, vol. 28(4), pages 603-611, November.

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