A single server retrial queue with general retrial times and two-phase service

被引：13
|
作者：
Wang, Jinting [1 ]
Li, Jianghua [2 ]
机构：
[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
[2] Commanding & Engn Inst Chem Def, Beijing 102205, Peoples R China
来源：
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2009年 / 22卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Balking; breakdowns; retrial queue; two-phase service; 2ND OPTIONAL SERVICE; RELIABILITY-ANALYSIS; M/G/1; QUEUE; BREAKDOWNS;
D O I：
10.1007/s11424-009-9164-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An M / G / 1 retrial queue with a first-come-first-served (FCFS) orbit, general retrial time, two-phase service and server breakdown is investigated in this paper. Customers are allowed to balk and renege at particular times. Assume that the customers who find the server busy are queued in the orbit in accordance with an FCFS discipline. All customers demand the first "essential" service, whereas only some of them demand the second "optional" service, and the second service is multioptional. During the service, the server is subject to breakdown and repair. Assume that the retrial time, the service time, and the repair time of the server are all arbitrarily distributed. By using the supplementary variables method, the authors obtain the steady-state solutions for both queueing and reliability measures of interest.
引用
收藏
页码：291 / 302
页数：12
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