Discrete-time analysis of MAP/PH/1 multiclass general preemptive priority queue

doi:10.1002/nav.10083

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	Discrete-time analysis of MAP/PH/1 multiclass general preemptive priority queue
	Alfa, AS ; Liu, B ; He, QM
	2003-09-01
发表期刊	NAVAL RESEARCH LOGISTICS
ISSN	0894-069X
卷号	50 期号:6 页码:662-682
摘要	We use the matrix-geometric method to study the MAP/PH/1 general preemptive priority queue with a multiple class of jobs. A procedure for obtaining the block matrices representing the transition matrix P is presented. We show that the special upper triangular structure of the matrix R obtained by Miller [Computation of steady-state probabilities for M/M/1 priority queues, Oper Res 29(5) (1981), 945-958] can be extended to an upper triangular block structure. Moreover, the subblock matrices of matrix R also have such a structure. With this special structure, we develop a procedure to compute the matrix R. After obtaining the stationary distribution of the system, we study two primary performance indices, namely, the distributions of the number of jobs of each type in the system and their waiting times. Although most of our analysis is carried out for the case of K = 3, the developed approach is general enough to study the other cases (K greater than or equal to 4). (C) 2003 Wiley Periodicals, Inc.
关键词	priority queues preemptive multiclass Markovian arrivals phase type distributions infinite blocks matrix-geometric method discrete-time analysis
DOI	10.1002/nav.10083
语种	英语
WOS研究方向	Operations Research & Management Science
WOS类目	Operations Research & Management Science
WOS记录号	WOS:000185079900008
出版者	JOHN WILEY & SONS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18942
专题	中国科学院数学与系统科学研究院
通讯作者	Alfa, AS
作者单位	1.Univ Manitoba, Dept Elect & Comp Engn, Winnipeg, MB R3T 5V6, Canada 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China 3.Dalhousie Univ, Dept Ind Engn, Halifax, NS B3J 2X4, Canada
推荐引用方式 GB/T 7714	Alfa, AS,Liu, B,He, QM. Discrete-time analysis of MAP/PH/1 multiclass general preemptive priority queue[J]. NAVAL RESEARCH LOGISTICS,2003,50(6):662-682.
APA	Alfa, AS,Liu, B,&He, QM.(2003).Discrete-time analysis of MAP/PH/1 multiclass general preemptive priority queue.NAVAL RESEARCH LOGISTICS,50(6),662-682.
MLA	Alfa, AS,et al."Discrete-time analysis of MAP/PH/1 multiclass general preemptive priority queue".NAVAL RESEARCH LOGISTICS 50.6(2003):662-682.