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

Bharat T. Doshi

Stochastic Processes and their Applications, 1977, vol. 5, issue 3, 265-284

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.

Keywords: M/G/1; queue; arrival; process; continuous; time; control; Markov; decision; theory (search for similar items in EconPapers)
Date: 1977
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