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An Optimal Design Problem for Limited Processor Sharing Systems

Author

Listed:
  • Genji Yamazaki

    (Tokyo Metropolitan Institute of Technology, Tokyo 191, Japan)

  • Hirotaka Sakasegawa

    (Institute of Socio-Economic Planning, University of Tsukuba, Ibaraki 305, Japan)

Abstract

An optimal design problem is considered for processor-sharing service systems, where the number of customers served simultaneously is limited to a fixed finite number (called multiplicity). The decision variable is the multiplicity and the optimal criterion is to minimize the mean number of customers in the system, or, alternatively, to minimize the mean sojourn time for a customer. It is proved that the processor-sharing discipline with any multiplicity ameliorates the system performance if a service-requirement distribution is an NWU (new worse than used) type and deteriorates the performance if the distribution type is Erlangian. Moreover, it is conjectured through numerical results that the limited processor-sharing system will ameliorate (deteriorate) the performance if the coefficient of variation of the service-requirement distribution is larger (smaller) than 1.

Suggested Citation

  • Genji Yamazaki & Hirotaka Sakasegawa, 1987. "An Optimal Design Problem for Limited Processor Sharing Systems," Management Science, INFORMS, vol. 33(8), pages 1010-1019, August.
    • Handle: RePEc:inm:ormnsc:v:33:y:1987:i:8:p:1010-1019
    DOI: 10.1287/mnsc.33.8.1010
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    Citations

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    Cited by:

    1. Aksin, O. Zeynep & Harker, Patrick T., 2003. "Capacity sizing in the presence of a common shared resource: Dimensioning an inbound call center," European Journal of Operational Research, Elsevier, vol. 147(3), pages 464-483, June.
    2. Robert J. Batt & Christian Terwiesch, 2017. "Early Task Initiation and Other Load-Adaptive Mechanisms in the Emergency Department," Management Science, INFORMS, vol. 63(11), pages 3531-3551, November.
    3. O. Zeynep Akc{s}in & Patrick T. Harker, 2001. "Modeling a Phone Center: Analysis of a Multichannel, Multiresource Processor Shared Loss System," Management Science, INFORMS, vol. 47(2), pages 324-336, February.

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