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Multiclass Production Systems with Setup Times

Author

Listed:
  • Rhonda Righter

    (Santa Clara University, Santa Clara, California)

  • J. George Shanthikumar

    (University of California, Berkeley, California)

Abstract

We consider polling systems with random setup times, and show that if setup times are reduced in the convex ordering sense, then waiting times, work loads, and queue sizes will be reduced in the usual stochastic sense. We also show that the joint distributions of various performance measures across time are invariant under shifts in setup times as long as the net shift is zero.

Suggested Citation

  • Rhonda Righter & J. George Shanthikumar, 1998. "Multiclass Production Systems with Setup Times," Operations Research, INFORMS, vol. 46(3-supplem), pages 146-153, June.
    • Handle: RePEc:inm:oropre:v:46:y:1998:i:3-supplement-3:p:s146-s153
    DOI: 10.1287/opre.46.3.S146
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    References listed on IDEAS

    as
    1. S. W. Fuhrmann & Robert B. Cooper, 1985. "Stochastic Decompositions in the M / G /1 Queue with Generalized Vacations," Operations Research, INFORMS, vol. 33(5), pages 1117-1129, October.
    2. Robert B. Cooper & Shun-Chen Niu & Mandyam M. Srinivasan, 1996. "A Decomposition Theorem for Polling Models: The Switchover Times are Effectively Additive," Operations Research, INFORMS, vol. 44(4), pages 629-633, August.
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