| 引用本文: | 俞政,周令毕.一个输入依赖于系统状态的排队模型的瞬时队长分布.[J].国防科技大学学报,2005,27(1):106-110.[点击复制] |
| YUN Zheng,ZHOU Lingbi.Distribution of the Transient Queue Length in a Queueing Model with Input Dependent on the System State[J].Journal of National University of Defense Technology,2005,27(1):106-110[点击复制] |
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| 一个输入依赖于系统状态的排队模型的瞬时队长分布 |
| 俞政1, 周令毕2 |
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(1.中南大学 数学科学与计算技术学院， 湖南 长沙 410083;2.湖南大众传媒技术学院， 湖南 长沙 410100)
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| 摘要: |
| 探讨了一个有如下特征的排队系统：该系统的第m个到达间隔αm -αm-1(m≥1)的分布依赖系统在时刻αm-1拥有的顾客数目。应用补充变量方法,这个系统的瞬时队长分布的积分表示被得到。在各到达间隔分布和诸服务时间分布均具有密度函数的条件下,这个积分表示的被积项能够递归地求取。 |
| 关键词: 排队系统 瞬时队长 补充变量 |
| DOI： |
| 投稿日期：2004-08-30 |
| 基金项目:国家自然科学基金资助项目(10171009)；高校博士点基金资助项目(20010533001)； |
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| Distribution of the Transient Queue Length in a Queueing Model with Input Dependent on the System State |
| YUN Zheng1, ZHOU Lingbi2 |
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(1.College of Mathematical Sciences and Computing Technology, Central South University, Changsha 410083, China;2.Hunan Mass Media Vocational Technical College, Changsha 410100,China)
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| Abstract: |
| This paper studies a queueing system wherein the distribution of the m-th interarrival time αm -αm-1(m≥1)depends on the number of customers in the system at time αm-1. Using the method of supplementary variables,the integral representation of the transient queue length distribution is obtained, of which the integrated term can be calculated recursively under the condition that the interarrival times and service times of the system have density functions. |
| Keywords: queueing system transient queue length supplementary variable |
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