| 离散时间优先队列的尾部渐近性分析 |
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| 引用本文： | 李刚,张华娟.离散时间优先队列的尾部渐近性分析[J].运筹学学报,2010,14(2):61-69. |
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| 作者姓名： | 李刚 张华娟 |
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| 作者单位： | 1. 上海大学理学院数学系, 上海 200444;2. 上海工程技术大学理学院, 上海 200335 |
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| 基金项目： | 公益性行业科研专项GYH200806003资助 |
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| 摘 要： | 本文研究在离散情形下，两类不同优先权的顾客进入服务系统的情况.稳态概率可以用矩阵形式表示出来.用矩阵分析法，联合稳态概率在一定条件下几何衰减.
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| 关 键 词： | 池化问题 分支定界法 二阶锥规划 |
| 收稿时间： | 2020-03-01 |
Analysis of a Discrete-Time Preemptive Priority Queue |
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| Li Gang,Zhang Huajuan.Analysis of a Discrete-Time Preemptive Priority Queue[J].OR Transactions,2010,14(2):61-69. |
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| Authors: | Li Gang Zhang Huajuan |
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| Affiliation: | 1. Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, China;2. College of Sciences, Shanghai University of Engineering Science, Shanghai 200335, China |
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| Abstract: | In this paper, we consider a discrete-time preemptive priority queue with a single server and two types of customers. The stationary probabilities are presented in a matrix form with respect to the background state space. Applying the matrix analytic method, it is shown that certain reasonable conditions lead to a geometric decay of the tail probabilities as the level goes to infinity. |
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| Keywords: | Operations research geometric decay the matrix analytic method discrete time preemptive priority queue stationary distribution |
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