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A constrained optimization problem for a processor sharing queue

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  • Peter De Waal

Abstract

In this article we discuss a processor sharing queueing model for a stored program controlled telephone exchange. The model incorporates the effects of both call requests and operator tasks on the load of the processor. Newly arriving call requests and operator tasks can either be admitted or rejected and for this decision the state of the queue at the moment of arrival is available as information. To guarantee a high level of service, we formulate a constrained optimization problem. Two types of access control, viz., partitioning policies and sharing policies, are considered. The optimization problem is solved for partitioning policies and the performance of both types of policies is compared. © 1993 John Wiley & Sons, Inc.

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  • Peter De Waal, 1993. "A constrained optimization problem for a processor sharing queue," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(5), pages 719-731, August.
    • Handle: RePEc:wly:navres:v:40:y:1993:i:5:p:719-731
    DOI: 10.1002/1520-6750(199308)40:53.0.CO;2-C
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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. 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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