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Some properties of optimal control policies for entry to an M/M/1 queue. (English) Zbl 0534.60086
Summary: 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.

MSC:
60K25 Queueing theory (aspects of probability theory)
90B22 Queues and service in operations research
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