| 对M/M/1非抢占优先权排队平稳指标的分析 |
| |
| 引用本文： | 王红蔚,彭培让.对M/M/1非抢占优先权排队平稳指标的分析[J].河南师范大学学报(自然科学版),2014(6):21-25. |
| |
| 作者姓名： | 王红蔚 彭培让 |
| |
| 作者单位： | 河南教育学院数学与统计学院 |
| |
| 基金项目： | 河南省基础与前沿技术研究项目(122300410229) |
| |
| 摘 要： | 讨论M/M/1非抢占优先权排队模型.该模型可以用一个具有可数位相的拟生灭(QBD)过程来描述.对该过程采用生成函数法得到平稳状态时低优先权顾客数分布的概率母函数,以及其逗留时间分布的LaplaceStieltjes变换.所得结论同时也说明了这两个分布都不是PH分布.
|
| 关 键 词： | 非抢占优先权排队 QBD过程 生成函数 平稳队长 平稳逗留时间 |
Analysis for Stationary Indices of M/M/1 Non-Preemptive Priority Queue |
| |
| WANG Hongwei;PENG Peirang.Analysis for Stationary Indices of M/M/1 Non-Preemptive Priority Queue[J].Journal of Henan Normal University(Natural Science),2014(6):21-25. |
| |
| Authors: | WANG Hongwei;PENG Peirang |
| |
| Institution: | WANG Hongwei;PENG Peirang;School of Mathematics and Statistics,Henan Institute of Education; |
| |
| Abstract: | This paper considers an M/M/1queue that handles arrivals form 2classes of customers on a non-preemptive priority basis.The queue model can be described in a quasi-birth-and-death(QBD)process with infinitely many phases.For the QBD process,based on the generating function method,we give the PGF for thestationary queue length distribution and LST for sojourn time distribution of lower-priority customers.The results show that the distribution for queue length and sojourn time are not PH distribution. |
| |
| Keywords: | non-preemptive priority queue QBD process generating function stationary queue length stationary sojourn time |
| 本文献已被 CNKI 等数据库收录！ |
