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On a single‐server queue with state‐dependent service

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  • J. G. Shanthikumar

Abstract

This paper discusses a class of queueing models in which the service time of a customer al a single server facility is dependent on the queue size at the onset of its service. The Laplace transform for the wait in queue distribution is derived and the utilization of the server is given when the arrival is a homogeneous Poisson process.

Suggested Citation

  • J. G. Shanthikumar, 1979. "On a single‐server queue with state‐dependent service," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 26(2), pages 305-309, June.
    • Handle: RePEc:wly:navlog:v:26:y:1979:i:2:p:305-309
    DOI: 10.1002/nav.3800260210
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