KMS Of Academy of mathematics and systems sciences, CAS
| Coxian representations of generalized Erlang distributions | |
He, Qi-ming1; Zhang, Han-qin2
| |
| 2009-07-01 | |
| Source Publication | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
 |
| ISSN | 0168-9673 |
| Volume | 25Issue:3Pages:489-502 |
| Abstract | This paper studies Coxian representations of generalized Erlang distributions. A nonlinear program is derived for computing the parameters of minimal Coxian representations of generalized Erlang distributions. The nonlinear program is also used to characterize the triangular order and the admissible region of generalized Erlang distributions. It is shown that the admissible region associated with a triangular order may not be convex. For generalized Erlang distributions of ME-order 3, a minimal Coxian representation is found explicitly. In addition, an algorithm is developed for computing a special type of ordered Coxian representations - the bivariate Coxian representation - for generalized Erlang distributions. |
| Keyword | Coxian distribution phase-type distribution matrix-analytic methods |
| DOI | 10.1007/s10255-008-8827-x |
| Language | 英语 |
| Funding Project | Natural Science and Engineering Research Council of Canada (NSERC) ; Chinese Academy of Sciences |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000266479900011 |
| Publisher | SPRINGER HEIDELBERG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/9084 |
| Collection | 应用数学研究所 |
| Corresponding Author | He, Qi-ming |
| Affiliation | 1.Dalhousie Univ, Dept Ind Engn, Halifax, NS B3J 2X4, Canada 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | He, Qi-ming,Zhang, Han-qin. Coxian representations of generalized Erlang distributions[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2009,25(3):489-502. |
| APA | He, Qi-ming,&Zhang, Han-qin.(2009).Coxian representations of generalized Erlang distributions.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,25(3),489-502. |
| MLA | He, Qi-ming,et al."Coxian representations of generalized Erlang distributions".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 25.3(2009):489-502. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment