On the convexity of the two-threshold policy for an M/G/1 queue with vacations

被引：3

作者：

Zhang, ZG ^{[1
]}

机构：

[1] Western Washington Univ, Coll Business & Econ, Dept Decis Sci, Bellingham, WA 98225 USA

来源：

OPERATIONS RESEARCH LETTERS | 2006年 / 34卷 / 04期

关键词：

M/G/1; queue; server vacations; two vacation types; two-threshold policy; convexity of cost function;

D O I：

10.1016/j.orl.2005.07.002

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this note, we consider a single server queueing system with server vacations of two types and a two-threshold policy. Under a cost and revenue structure the long-run average cost function is proven to be convex in the lower threshold for a fixed difference between the two thresholds. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：473 / 476

页数：4

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