Strict monotonicity and continuity of mean unfinished work in two queues sharing a server

被引：2

作者：

Walraevens, Joris ^{[1
]}

Vanlerberghe, Jasper ^{[1
]}

Maertens, Tom ^{[1
]}

De Vuyst, Stijn ^{[2
]}

Bruneel, Herwig ^{[1
]}

机构：

[1] Univ Ghent, Dept Telecommun & Informat Proc, Sint Pietersnieuwstr 41, B-9000 Ghent, Belgium

[2] Univ Ghent, Dept Ind Management, Technol Pk 903, B-9052 Zwijnaarde, Belgium

来源：

OPERATIONS RESEARCH LETTERS | 2017年 / 45卷 / 02期

关键词：

Coupled queues; Monotonicity; Regenerative process;

D O I：

10.1016/j.orl.2017.01.011

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：

We consider a system where two queues share one server. In case of conflict, the first (second) queue is served with probability) beta (1 - beta respectively). We prove strict monotonicity and continuity w.r.t. beta of the mean unfinished work in queues 1 and 2. Restrictive assumptions are avoided as much as possible, by only assuming that the total unfinished work is a regenerative process. Finiteness of the second moment of the length of a regeneration cycle is generally required for continuity. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：151 / 153

页数：3