Reliability analysis of M/G/1 queues with general retrial times and server breakdowns

作     者：WANG Jinting (Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China) 

作者机构：Department of Mathematics Beijing Jiaotong University Beijing 100044 China 

出 版 物：《Progress in Natural Science:Materials International》 (自然科学进展·国际材料(英文))

年 卷 期：2006年第16卷第5期

页      面：464-473页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070105[理学-运筹学与控制论] 0701[理学-数学] 

基　　金：Supported by Scientific Research Foundation for the Returned Overseas Chinese Scholars State Education Ministry  National Natural Science Foundation of China (Grant Nos. 10526004  60504016) BJTU Foundation (Grant No. 2005sm064) 

主　　题：retrial queues general retrial times reliability server breakdowns and repairs. 

摘      要：This paper concerns the reliability issues as well as queueing analysis of M/G/1 retrial queues with general retrial times and server subject to breakdowns and repairs. We assume that the server is unreliable and customers who find the server busy or down are queued in the retrial orbit in accordance with a first-come-first-served discipline. Only the customer at the head of the orbit queue is allowed for access to the server. The necessary and sufficient condition for the system to be stable is given. Using a supplementary variable method, we obtain the Laplace-Stieltjes transform of the reliability function of the server and a steady state solution for both queueing and reliability measures of interest. Some main reliability indexes, such as the availability, failure frequency, and the reliability function of the server, are obtained.