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Some properties of optimal control policies for entry to an M/M/1 queue

Robert C. Rue and Matthew Rosenshine

Naval Research Logistics Quarterly, 1981, vol. 28, issue 4, 525-532

Abstract: Customers served by an M/M/1 queueing system each receive a reward R but pay a holding cost of C per unit time (including service time) spent in the system. The decision of whether or not a customer joins the queue can be made on an individual basis or a social basis. The effect of increasing the arrival rate on the optimal policy parameters is examined. Some limiting results are also derived.

Date: 1981
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https://doi.org/10.1002/nav.3800280402

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