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Customer waiting‐time distributions under base‐stock policies in single‐facility multi‐item production systems

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  • Awi Federgruen
  • Ziv Katalan

Abstract

We derive efficient and highly accurate approximations for the customer waiting‐time distributions experienced in stochastic economic lot scheduling systems (SELSPs) that are governed by general base‐stock policies under a cyclic or more general periodic item sequence. SELSPs involve settings where several items need to be produced in a common facility with limited capacity, under significant uncertainty regarding demands, unit production times, setup times, or combinations thereof. Under a base‐stock policy one continues production of a given item until a specific target level is reached; the different items are produced in a given periodic sequence, possibly with idle times inserted between the completion of an item's production batch and the setup of the next item. We also demonstrate how base‐stock levels can be specified efficiently to guarantee any prescribed fill rate within a specific service window or distribution of service windows. © 1996 John Wiley & Sons, Inc.

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  • Awi Federgruen & Ziv Katalan, 1996. "Customer waiting‐time distributions under base‐stock policies in single‐facility multi‐item production systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(4), pages 533-548, June.
    • Handle: RePEc:wly:navres:v:43:y:1996:i:4:p:533-548
    DOI: 10.1002/(SICI)1520-6750(199606)43:43.0.CO;2-8
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    References listed on IDEAS

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    1. Chandrasekhar Das, 1977. "The ( S − 1, S ) Inventory Model under Time Limit on Backorders," Operations Research, INFORMS, vol. 25(5), pages 835-850, October.
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    Cited by:

    1. Ravi Suman & Ananth Krishnamurthy, 2020. "Analysis of tandem polling queues with finite buffers," Annals of Operations Research, Springer, vol. 293(1), pages 343-369, October.

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