An algorithm for computing minimal Coxian representations
文献类型：期刊论文
| 作者 | He, Qi-Ming1; Zhang, Hanqin2
|
| 刊名 | INFORMS JOURNAL ON COMPUTING
 |
| 出版日期 | 2008-03-01 |
| 卷号 | 20期号:2页码:179-190 |
| 关键词 | Coxian distribution phase-type distribution matrix-exponential distribution matrix-analytic methods nonlinear programming |
| ISSN号 | 1091-9856 |
| DOI | 10.1287/ijoc.1070.0228 |
| 英文摘要 | This paper presents an algorithm for computing minimal ordered Coxian representations of phase-type distributions whose Laplace-Stieltjes transform has only real poles. We first identify a set of necessary and sufficient conditions for an ordered Coxian representation to be minimal with respect to the number of phases involved. The conditions establish a relationship between the Coxian representations of a Coxian distribution and the derivatives of its distribution function at zero. Based on the conditions, the algorithm is developed. Three numerical examples show the effectiveness of the algorithm and some geometric properties associated with ordered Coxian representations. |
| WOS研究方向 | Computer Science ; Operations Research & Management Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000255504700002 |
| 出版者 | INFORMS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5972]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | He, Qi-Ming |
| 作者单位 | 1.Dalhousie Univ, Dept Ind Engn, Halifax, NS B3J 2X4, Canada 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | He, Qi-Ming,Zhang, Hanqin. An algorithm for computing minimal Coxian representations[J]. INFORMS JOURNAL ON COMPUTING,2008,20(2):179-190. |
| APA | He, Qi-Ming,&Zhang, Hanqin.(2008).An algorithm for computing minimal Coxian representations.INFORMS JOURNAL ON COMPUTING,20(2),179-190. |
| MLA | He, Qi-Ming,et al."An algorithm for computing minimal Coxian representations".INFORMS JOURNAL ON COMPUTING 20.2(2008):179-190. |
入库方式： OAI收割
来源：数学与系统科学研究院
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