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Effective Sequencing Rules for Closed Manufacturing Networks

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  • Wendell G. Gilland

    (Kenan-Flagler Business School, University of North Carolina at Chapel Hill, Campus Box 3490, Chapel Hill, NC 27599-3490)

Abstract

This paper develops a method for determining sequencing policies to effectively control a multistation closed queueing network. We assume that several job classes, with different service time distributions, share each server and should be sequenced to maximize the long-run throughput rate of the system. A Brownian control problem that approximates the original queueing network is formulated and used to develop a dynamic sequencing policy that seeks to prevent idleness, unless the system is at a face of the workload imbalance polytope that arises in the Brownian formulation. Several examples are used to demonstrate the benefit of this policy over the static prioritization proposed by Chevalier and Wein (1993), which has previously been shown to dominate traditional scheduling policies in a closed network setting.

Suggested Citation

  • Wendell G. Gilland, 2001. "Effective Sequencing Rules for Closed Manufacturing Networks," Operations Research, INFORMS, vol. 49(5), pages 759-770, October.
    • Handle: RePEc:inm:oropre:v:49:y:2001:i:5:p:759-770
    DOI: 10.1287/opre.49.5.759.10614
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    References listed on IDEAS

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    1. J. Michael Harrison & Lawrence M. Wein, 1990. "Scheduling Networks of Queues: Heavy Traffic Analysis of a Two-Station Closed Network," Operations Research, INFORMS, vol. 38(6), pages 1052-1064, December.
    2. Philippe B. Chevalier & Lawrence M. Wein, 1993. "Scheduling Networks of Queues: Heavy Traffic Analysis of a Multistation Closed Network," Operations Research, INFORMS, vol. 41(4), pages 743-758, August.
    3. Izak Duenyas, 1994. "A Simple Release Policy for Networks of Queues with Controllable Inputs," Operations Research, INFORMS, vol. 42(6), pages 1162-1171, December.
    4. Lawrence M. Wein, 1990. "Scheduling Networks of Queues: Heavy Traffic Analysis of a Two-Station Network with Controllable Inputs," Operations Research, INFORMS, vol. 38(6), pages 1065-1078, December.
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    Cited by:

    1. Gregory Dobson & Tolga Tezcan & Vera Tilson, 2013. "Optimal Workflow Decisions for Investigators in Systems with Interruptions," Management Science, INFORMS, vol. 59(5), pages 1125-1141, May.

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