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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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