| dc.contributor | 應數系 | en_US |
| dc.creator (作者) | 陸行 | zh_TW |
| dc.creator (作者) | Luh,Hsing | en_US |
| dc.creator (作者) | Wang,Hsin-Yi | en_US |
| dc.date (日期) | 2007.05 | en_US |
| dc.date.accessioned | 5-Aug-2014 16:32:20 (UTC+8) | - |
| dc.date.available | 5-Aug-2014 16:32:20 (UTC+8) | - |
| dc.date.issued (上傳時間) | 5-Aug-2014 16:32:20 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/68186 | - |
| dc.description.abstract (摘要) | In this paper, we study a Ck/Cm/1/N open queueing system with finite capacity. We investigate the property which shows that a product of the Laplace Stieltjes Transforms of interarrival and service times distributions satisfies an equation of a simple form. According to this equation, we present that the stationary probabilities on the unboundary states can be written as a linear combination of vector product-forms. Each component of these products is expressed in terms of roots of an associated characteristic polynomial. As a result, we carry out an algorithm for solving stationary probabilities in Ck/Cm/1/N systems, which is independent of N, hence greatly reducing the computational complexity. | en_US |
| dc.format.extent | 298001 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.language.iso | en_US | - |
| dc.relation (關聯) | Applied Mathematical Modelling,31(5),920-933 | en_US |
| dc.subject (關鍵詞) | Queues; Phase-type probability distributions; Matrix analytic methods; Laplace transforms; Vector product-forms | en_US |
| dc.title (題名) | Solving Ck/Cm/1/N queues by using characteristic roots in matrix analytic methods | en_US |
| dc.type (資料類型) | article | en |
| dc.identifier.doi (DOI) | 10.1016/j.apm.2006.02.008 | en_US |
| dc.doi.uri (DOI) | http://dx.doi.org/10.1016/j.apm.2006.02.008 | en_US |
