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	Block-structured fluid queues driven by QBD processes
	Li, QL ; Zhao, YQQ
	2010-05-10 ; 2010-05-10
关键词	buffer content first passage time fluid queue quasi-birth-and-death (QBD) process the censoring technique the RG -factorization the R-measure STOCHASTIC-THEORY FLOW MODELS M/M/1 QUEUE Mathematics, Applied Statistics & Probability
中文摘要	In this paper, a unified approach for studying block-structured fluid models is proposed by means of the RG-factorization. When the stochastic environment (or background) is assumed to be a quasi-birth-and death (QBD) process, with either infinitely many levels or finitely many levels, the Laplace transform for the stationary probability distribution of the buffer content is expressed in terms of the R-measure. At the same time, the Laplace-Stieltjes transforms for both the conditional distribution and the conditional mean of a first passage time in such a fluid queue are derived by the same approach.
语种	英语 ; 英语
出版者	TAYLOR & FRANCIS INC ; PHILADELPHIA ; 325 CHESTNUT ST, SUITE 800, PHILADELPHIA, PA 19106 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/23743]
专题	清华大学
推荐引用方式 GB/T 7714	Li, QL,Zhao, YQQ. Block-structured fluid queues driven by QBD processes[J],2010, 2010.
APA	Li, QL,&Zhao, YQQ.(2010).Block-structured fluid queues driven by QBD processes..
MLA	Li, QL,et al."Block-structured fluid queues driven by QBD processes".(2010).

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