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Jobshop-Like Queueing Systems

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  • James R. Jackson

    (University of California, Los Angeles, California)

Abstract

(This article originally appeared in Management Science, November 1963, Volume 10, Number 1, pp. 131--142, published by The Institute of Management Sciences.) The equilibrium joint probability distribution of queue lengths is obtained for a broad class of jobshop-like Ünetworks of waiting lines,Ý where the mean arrival rate of customers depends almost arbitrarily upon the number already present, and the mean service rate at each service center depends almost arbitrarily upon the queue length there. This extension of the author's earlier work is motivated by the observation that real production systems are usually subject to influences which make for increased stability by tending, as the amount of work-in-process grows, to reduce the rate at which new work is injected or to increase the rate at which processing takes place.

Suggested Citation

  • James R. Jackson, 2004. "Jobshop-Like Queueing Systems," Management Science, INFORMS, vol. 50(12_supple), pages 1796-1802, December.
    • Handle: RePEc:inm:ormnsc:v:50:y:2004:i:12_supplement:p:1796-1802
    DOI: 10.1287/mnsc.1040.0268
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    Cited by:

    1. Peter Hulshof & Richard Boucherie & Erwin Hans & Johann Hurink, 2013. "Tactical resource allocation and elective patient admission planning in care processes," Health Care Management Science, Springer, vol. 16(2), pages 152-166, June.

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