An M/G/1 retrial queue with second multi-optional service, feedback and unreliable server

被引：0

作者：

Li J. ^{[1
]}

Wang J. ^{[1
]}

机构：

[1] Department of Mathematics, Beijing Jiaotong University, Beijing

来源：

Applied Mathematics-A Journal of Chinese Universities | 2006年 / 21卷 / 3期

基金：

中国国家自然科学基金;

关键词：

Feedback; Retrial queues; Server breakdown and repair; Starting failures; Two-phase service;

D O I：

10.1007/s11766-003-0002-9

中图分类号：

学科分类号：

摘要：

An M/G/1 retrial queue with two-phase service and feedback is studied in this paper, where the server is subject to starting failures and breakdowns during service. Primary customers get in the system according to a Poisson process, and they will receive service immediately if the server is available upon arrival. Otherwise, they will enter a retrial orbit and are queued in the orbit in accordance with a first-come-first-served (FCFS) discipline. Customers are allowed to balk and renege at particular times. All customers demand the first “essential” service, whereas only some of them demand the second “multi-optional” service. It is assumed that the retrial time, service time and repair time of the server are all arbitrarily distributed. The necessary and sufficient condition for the system stability is derived. Using a supplementary variable method, the steady-state solutions for some queueing and reliability measures of the system are obtained. © 2006, Springer Verlag. All rights reserved.

引用

页码：252 / 262

页数：10

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