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.
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页码：473 / 476
页数：4
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