An RG-factorization approach for a BMAP/M/1 generalized processor-sharing queue | |
Li, QL ; Lian, ZT | |
2010-05-10 ; 2010-05-10 | |
会议名称 | STOCHASTIC MODELS ; 5th International Conference on Matrix Analytic Methods in Stochastic Models ; Pisa, ITALY ; Web of Science |
关键词 | batch Markovian arrival process (BMAP) generalized processor-shafing Markov chain of M/G/1 type processor-sharing queue sojourn time WAITING TIME DISTRIBUTIONS REDUCED-LOAD EQUIVALENCE MARKOV-CHAINS SOJOURN TIME SHARED SYSTEMS RESPONSE-TIME GI/M/1 QUEUE SERVICE FLUID NETWORKS Statistics & Probability |
中文摘要 | In this paper, we study a BAMP/M/1 generalized processor-sharing queue. We propose an RG-factorization approach, which can be applied to a wider class of Markovian block-structured processor-sharing queues. We obtain the expressions for both the distribution of the stationary queue length and the Laplace transform of the sojourn time distribution. From these two expressions, we develop an algorithm to compute the mean and variance of the sojourn time approximately. |
会议录出版者 | TAYLOR & FRANCIS INC ; PHILADELPHIA ; 325 CHESTNUT ST, SUITE 800, PHILADELPHIA, PA 19106 USA |
语种 | 英语 ; 英语 |
内容类型 | 会议论文 |
源URL | [http://hdl.handle.net/123456789/18976] ![]() |
专题 | 清华大学 |
推荐引用方式 GB/T 7714 | Li, QL,Lian, ZT. An RG-factorization approach for a BMAP/M/1 generalized processor-sharing queue[C]. 见:STOCHASTIC MODELS, 5th International Conference on Matrix Analytic Methods in Stochastic Models, Pisa, ITALY, Web of Science. |
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