First passage times for Markov renewal processes and applications
文献类型：期刊论文
| 作者 | Xu, GH; Yuan, XM; Li, QL |
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
 |
| 出版日期 | 2000-12-01 |
| 卷号 | 43期号:12页码:1238-1249 |
| 关键词 | Markov renewal process (MRP) joint transform first passage time busy period busy cycle uniform error |
| ISSN号 | 1006-9283 |
| 英文摘要 | This paper proposes a uniformly convergent algorithm for the joint transform of the first passage time and the first passage number of steps for general Markov renewal processes with any initial state probability vector. The uniformly convergent algorithm with arbitrarily prescribed error can be efficiently applied to compute busy periods, busy cycles, waiting times, sojourn times, and relevant indices of various generic queueing systems and queueing networks. This paper also conducts a numerical experiment to implement the proposed algorithm. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000166380900002 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15409]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xu, GH |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Asian Pacific Operat Res Ctr, Beijing 100080, Peoples R China 3.APORS, Asian Pacific Operat Res Ctr, Beijing 100080, Peoples R China 4.Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, GH,Yuan, XM,Li, QL. First passage times for Markov renewal processes and applications[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2000,43(12):1238-1249. |
| APA | Xu, GH,Yuan, XM,&Li, QL.(2000).First passage times for Markov renewal processes and applications.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,43(12),1238-1249. |
| MLA | Xu, GH,et al."First passage times for Markov renewal processes and applications".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 43.12(2000):1238-1249. |
入库方式： OAI收割
来源：数学与系统科学研究院
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