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Continuous time control of the arrival process in an m/g/1 queue

Author

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  • Doshi, Bharat T.

Abstract

The problem of continuously controlling the arrival process in an M/G/1 queue is studied. The control is exercised by keeping the facility open or closed for potential arrivals, and is based on the residual workload process. The reward structure includes a reward rate R when the server is busy, and a holding cost rate cx when the residual workload is x. The economic criterion used is long run average return. A control limit policy is shown to be optimal. An iterative method for calculating this control limit policy is suggested.

Suggested Citation

  • Doshi, Bharat T., 1977. "Continuous time control of the arrival process in an m/g/1 queue," Stochastic Processes and their Applications, Elsevier, vol. 5(3), pages 265-284, July.
    • Handle: RePEc:eee:spapps:v:5:y:1977:i:3:p:265-284
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    Cited by:

    1. Fajardo, Val Andrei & Drekic, Steve, 2015. "Controlling the workload of M/G/1 queues via the q-policy," European Journal of Operational Research, Elsevier, vol. 243(2), pages 607-617.

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