Discrete-time analysis of MAP/PH/1 multiclass general preemptive priority queue
文献类型：期刊论文
| 作者 | Alfa, AS; Liu, B; He, QM |
| 刊名 | NAVAL RESEARCH LOGISTICS
 |
| 出版日期 | 2003-09-01 |
| 卷号 | 50期号:6页码:662-682 |
| 关键词 | priority queues preemptive multiclass Markovian arrivals phase type distributions infinite blocks matrix-geometric method discrete-time analysis |
| ISSN号 | 0894-069X |
| DOI | 10.1002/nav.10083 |
| 英文摘要 | 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. |
| WOS研究方向 | Operations Research & Management Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000185079900008 |
| 出版者 | JOHN WILEY & SONS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18941]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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