Transient analysis of an M/G/1 retrial queue subject to disasters and server failures
文献类型：期刊论文
| 作者 | Wang, Jinting1; Liu, Bin2,3; Li, Jianghua1 |
| 刊名 | EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
 |
| 出版日期 | 2008-09-16 |
| 卷号 | 189期号:3页码:1118-1132 |
| 关键词 | retrial queues disasters reliability transient analysis Laplace transforms numerical inversion |
| ISSN号 | 0377-2217 |
| DOI | 10.1016/j.ejor.2007.04.054 |
| 英文摘要 | 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. |
| WOS研究方向 | Business & Economics ; Operations Research & Management Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000255432900041 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5643]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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