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

被引:0
|
作者
Eugene A. Feinberg
Offer Kella
机构
[1] State University of New York,Department of Applied Mathematics and Statistics
[2] The Hebrew University of Jerusalem,Department of Statistics
来源
Queueing Systems | 2002年 / 42卷
关键词
/; /1 queue; removable server; -policy; average cost criterion;
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学科分类号
摘要
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.
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页码:355 / 376
页数:21
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