A vacation queueing model with service breakdowns

被引：32
|
作者：
Gray, WJ
Wang, PP
Scott, M
机构：
[1] Univ Alabama, Coll Arts & Sci, Dept Math, Tuscaloosa, AL 35487 USA
[2] Western Illinois Univ, Macomb, IL 61455 USA
来源：
APPLIED MATHEMATICAL MODELLING | 2000年 / 24卷 / 5-6期
关键词：
D O I：
10.1016/S0307-904X(99)00048-7
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper we analyze a multiple-vacation queueing model, where the service station is subject to breakdown while in operation. Service resumes immediately after a repair process, and a vacation starts at the end of each busy period. Arrivals follow a Poisson process with rates depending upon the system state, namely, vacation, service, or breakdown state. The repair times, times to breakdown following a repair or vacation, uninterrrupted service times, and length of each vacation follow exponential distributions. Some results are also obtained when vacation, service, and repair times follow phase-type distributons. (C) 2000 Elsevier Science Inc. All rights reserved.
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页码：391 / 400
页数：10
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