Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/76004
DC Field | Value | Language |
---|---|---|
dc.contributor | 應數系 | - |
dc.creator | Luh, Hsing Paul | - |
dc.creator | 陸行 | zh_TW |
dc.creator | Liu, Hsin Yi | en_US |
dc.date | 2011-11 | - |
dc.date.accessioned | 2015-06-22T06:26:31Z | - |
dc.date.available | 2015-06-22T06:26:31Z | - |
dc.date.issued | 2015-06-22T06:26:31Z | - |
dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/76004 | - |
dc.description.abstract | 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 | Numerical Algebra, Control and Optimization, 1(4), 691-711 | - |
dc.subject | Matrix polynomials; Phase-type distributions; Quasi-birth-and-death process | - |
dc.title | Kronecker product-forms of steady-state probabilities with Ck/Cm/1 by matrix polynomial approaches | - |
dc.type | article | en |
dc.identifier.doi | 10.3934/naco.2011.1.691 | - |
dc.doi.uri | http://dx.doi.org/10.3934/naco.2011.1.691 | - |
item.grantfulltext | restricted | - |
item.cerifentitytype | Publications | - |
item.openairetype | article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.fulltext | With Fulltext | - |
Appears in Collections: | 期刊論文 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
index.html | 176 B | HTML2 | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.