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
收藏
页码：252 / 262
页数：10
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