| dc.contributor | 應數系 | - |
| dc.creator (作者) | Luh, Hsing Paul | - |
| dc.creator (作者) | 陸行 | zh_TW |
| dc.creator (作者) | Liu, Hsin Yi | en_US |
| dc.date (日期) | 2011-11 | - |
| dc.date.accessioned | 22-Jun-2015 14:26:31 (UTC+8) | - |
| dc.date.available | 22-Jun-2015 14:26:31 (UTC+8) | - |
| dc.date.issued (上傳時間) | 22-Jun-2015 14:26:31 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/76004 | - |
| dc.description.abstract (摘要) | In this paper, we analyze a single server queueing system Ck/Cm/1. We construct a general solution space of vector product-forms for steady-state probability and express it in terms of singularities and vectors of the fundamental matrix polynomial Q(ω). It is shown that there is a strong relation between the singularities of Q(ω) and the roots of the characteristic polynomial involving the Laplace transforms of the inter-arrival and service times distributions. Thus, some steady-state probabilities may be written as a linear combination of vectors derived in expression of these roots. In this paper, we focus on solving a set of equations of matrix polynomials in the case of multiple roots. As a result, we give a closed-form solution of unboundary steady-state probabilities of Ck/Cm/1, thereupon considerably reducing the computational complexity of solving a complicated problem in a general queueing model. | - |
| dc.format.extent | 176 bytes | - |
| dc.format.mimetype | text/html | - |
| dc.relation (關聯) | Numerical Algebra, Control and Optimization, 1(4), 691-711 | - |
| dc.subject (關鍵詞) | Matrix polynomials; Phase-type distributions; Quasi-birth-and-death process | - |
| dc.title (題名) | Kronecker product-forms of steady-state probabilities with Ck/Cm/1 by matrix polynomial approaches | - |
| dc.type (資料類型) | article | en |
| dc.identifier.doi (DOI) | 10.3934/naco.2011.1.691 | - |
| dc.doi.uri (DOI) | http://dx.doi.org/10.3934/naco.2011.1.691 | - |
