Transient analysis of an M/G/1 retrial queue subject to disasters and server failures

doi:10.1016/j.ejor.2007.04.054

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	Transient analysis of an M/G/1 retrial queue subject to disasters and server failures
	Wang, Jinting 1; Liu, Bin 2,3; Li, Jianghua 1
	2008-09-16
发表期刊	EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
ISSN	0377-2217
卷号	189 期号:3 页码:1118-1132
摘要	An M/G/1 retrial queueing system with disasters and unreliable server is investigated in this paper. Primary customers arrive in the system according to a Poisson process, and they receive service immediately if, the server is available upon their arrivals. Otherwise, they will enter a retrial orbit and try their luck after a random time interval. We assume the catastrophes occur following a Poisson stream, and if a catastrophe occurs, all customers in the system are deleted immediately and it also causes the server's breakdown. Besides, the server has an exponential lifetime in addition to the catastrophe process. Whenever the server breaks down, it is sent for repair immediately. It is assumed that the service time and two kinds of repair time of the server are all arbitrarily distributed. By applying the supplementary variables method, we obtain the Laplace transforms of the transient solutions and also the steady-state solutions for both queueing measures and reliability quantities of interest. Finally, numerical inversion of Laplace transforms is carried out for the blocking probability of the system, and the effects of several system parameters on the blocking probability are illustrated by numerical inversion results. (C) 2007 Elsevier B.V. All rights reserved.
关键词	retrial queues disasters reliability transient analysis Laplace transforms numerical inversion
DOI	10.1016/j.ejor.2007.04.054
语种	英语
WOS研究方向	Business & Economics ; Operations Research & Management Science
WOS类目	Management ; Operations Research & Management Science
WOS记录号	WOS:000255432900041
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5644
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Jinting
作者单位	1.Beijing Jiaotong Univ, Dept Math, Beijing, Peoples R China 2.Univ No Iowa, Dept Math, Cedar Falls, IA 50614 USA 3.Chinese Acad Sci, Inst Appl Math, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Wang, Jinting,Liu, Bin,Li, Jianghua. Transient analysis of an M/G/1 retrial queue subject to disasters and server failures[J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH,2008,189(3):1118-1132.
APA	Wang, Jinting,Liu, Bin,&Li, Jianghua.(2008).Transient analysis of an M/G/1 retrial queue subject to disasters and server failures.EUROPEAN JOURNAL OF OPERATIONAL RESEARCH,189(3),1118-1132.
MLA	Wang, Jinting,et al."Transient analysis of an M/G/1 retrial queue subject to disasters and server failures".EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 189.3(2008):1118-1132.