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QUESTA
2002

Optimality of D-Policies for an M/G/1 Queue with a Removable Server

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Optimality of D-Policies for an M/G/1 Queue with a Removable Server
We consider an M/G/1 queue with a removable server. When a customer arrives, the workload becomes known. The cost structure consists of switching costs, running costs, and holding costs per unit time which is a nonnegative nondecreasing right-continuous function of a current workload in the system. We prove an old conjecture that D-policies are optimal for the average cost per unit time criterion. It means that for this criterion there is an optimal policy that either runs the server all the time or switches the server off when the system becomes empty and switches it on when the workload reaches or exceeds some threshold D.
Eugene A. Feinberg, Offer Kella
Added 23 Dec 2010
Updated 23 Dec 2010
Type Journal
Year 2002
Where QUESTA
Authors Eugene A. Feinberg, Offer Kella
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