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Using information about machine failures to control flowlines

Author

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  • C. Roger Glassey
  • Sridhar Seshadri
  • J. Shanthikumar

Abstract

We study the problem of using information about the type of machine failures to control production. When each station in a two stage flowline has a single machine, the processing time distributions are Erlang, and the time to fail as well repair a machine are exponentially distributed; we show that the optimal policy for controlling the flowline is completely specified by selecting a produce up to level called threshold level corresponding to each type of machine failure. These threshold levels are shown to be ordered as per the rate at which the failed downstream station can be repaired. These results are partially extended to the case when there are multiple machines at the two stations of the flowline. We then summarize numerical results that illustrate when it is worth while to use information about failures in controlling inputs to the flowline. Copyright Physica-Verlag 1997

Suggested Citation

  • C. Roger Glassey & Sridhar Seshadri & J. Shanthikumar, 1997. "Using information about machine failures to control flowlines," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 45(3), pages 455-481, October.
    • Handle: RePEc:spr:mathme:v:45:y:1997:i:3:p:455-481
    DOI: 10.1007/BF01194790
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    References listed on IDEAS

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    1. Raman K. Nurani & Sridhar Seshadri & J. George Shanthikumar, 1997. "Optimal Control of a Single Stage Production System Subject to Random Process Shifts," Operations Research, INFORMS, vol. 45(5), pages 713-724, October.
    2. Sridhar Seshadri & J. G. Shanthikumar, 1997. "Allocation of Chips to Wafers in a Production Problem of Semiconductor Kits," Operations Research, INFORMS, vol. 45(2), pages 315-321, April.
    3. Lawrence M. Wein, 1990. "Optimal Control of a Two-Station Brownian Network," Mathematics of Operations Research, INFORMS, vol. 15(2), pages 215-242, May.
    4. 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.
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