Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/68181
題名: | Analysis of the M/G/1 queue with exponentially working vacations—a matrix analytic approach | 作者: | 陸行 Luh,Hsing Paul Zhang,Zhe George Li,Ji-hong |
貢獻者: | 應數系 | 關鍵詞: | Working vacations; Embedded Markov chain; M/G/1-type matrix; Stochastic decomposition; Conditional waiting time. 60K25; 68M20 | 日期: | 2009 | 上傳時間: | 5-Aug-2014 | 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. | 關聯: | Queueing Systems,61(2-3),139-166 | 資料類型: | article | DOI: | http://dx.doi.org/10.1007/s11134-008-9103-8 |
Appears in Collections: | 期刊論文 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
index.html | 124 B | HTML2 | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.