| dc.contributor | 應數系 | en_US |
| dc.creator (作者) | 陸行 | zh_TW |
| dc.creator (作者) | Luh,Hsing Paul | en_US |
| dc.creator (作者) | Zhang,Zhe George | en_US |
| dc.creator (作者) | Li,Ji-hong | en_US |
| dc.date (日期) | 2009.12 | en_US |
| dc.date.accessioned | 5-Aug-2014 16:31:35 (UTC+8) | - |
| dc.date.available | 5-Aug-2014 16:31:35 (UTC+8) | - |
| dc.date.issued (上傳時間) | 5-Aug-2014 16:31:35 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/68181 | - |
| dc.description.abstract (摘要) | In this paper, an M/G/1 queue with exponentially working vacations is analyzed. This queueing system is modeled as a two-dimensional embedded Markov chain which has an M/G/1-type transition probability matrix. Using the matrix analytic method, we obtain the distribution for the stationary queue length at departure epochs. Then, based on the classical vacation decomposition in the M/G/1 queue, we derive a conditional stochastic decomposition result. The joint distribution for the stationary queue length and service status at the arbitrary epoch is also obtained by analyzing the semi-Markov process. Furthermore, we provide the stationary waiting time and busy period analysis. Finally, several special cases and numerical examples are presented. | en_US |
| dc.format.extent | 124 bytes | - |
| dc.format.mimetype | text/html | - |
| dc.language.iso | en_US | - |
| dc.relation (關聯) | Queueing Systems,61(2-3),139-166 | en_US |
| dc.subject (關鍵詞) | Working vacations; Embedded Markov chain; M/G/1-type matrix; Stochastic decomposition; Conditional waiting time. 60K25; 68M20 | - |
| dc.title (題名) | Analysis of the M/G/1 queue with exponentially working vacations—a matrix analytic approach | en_US |
| dc.type (資料類型) | article | en |
| dc.identifier.doi (DOI) | 10.1007/s11134-008-9103-8 | - |
| dc.doi.uri (DOI) | http://dx.doi.org/10.1007/s11134-008-9103-8 | - |
