| 具有固定反馈次数的M/G/1排队系统逗留时间分析 |
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| 引用本文： | 张奇支,廖建新,徐童.具有固定反馈次数的M/G/1排队系统逗留时间分析[J].北京邮电大学学报,2005,28(6):61-64. |
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| 作者姓名： | 张奇支 廖建新 徐童 |
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| 作者单位： | 1北京邮电大学 网络与交换技术国家重点实验室， 北京 100876； 2华南师范大学 计算机学院， 广州 510631 |
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| 基金项目： | 广东省博士启动基金，中国移动通信产品研究开发专项基金，电子信息产业发展基金 |
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| 摘 要： | 将具有固定反馈次数的M/G/1排队模型扩充到一般情况，即每个顾客总共接受m次服务，每次服务时间的分布函数各不相同，将第i次接受服务的顾客视为Ci类顾客. 给出了顾客从进入系统到完成所有m次服务后离开系统时为止，在系统中总逗留时间的Laplace Stieltjes变换， 为通信系统的建模分析提供了方便实用的分析工具.
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| 关 键 词： | M/G/1排队系统 反馈 逗留时间 Laplace Stieltjes变换 |
| 文章编号： | 1007-5321（2005）06-0061-04 |
| 收稿时间： | 2005-02-19 |
| 修稿时间： | 2005年2月19日 |
On Sojourn Time of M/G/1 Queueing System with Fixed Times of Feedback |
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| ZHANG Qi-zhi,LIAO Jian-xin,XU Tong.On Sojourn Time of M/G/1 Queueing System with Fixed Times of Feedback[J].Journal of Beijing University of Posts and Telecommunications,2005,28(6):61-64. |
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| Authors: | ZHANG Qi-zhi LIAO Jian-xin XU Tong |
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| Affiliation: | 1State Key Laboratory of Networking and Switching, Beijing University of Posts and Telecommunications, Beijing 100876, China; 2School of Computer, South China Normal University, Guangzhou 510631, China |
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| Abstract: | The M/G/1 queueing system with fixed times of feedbacks was expanded to a generalized situation, i.e., every customer accepted total m times of services, and the distribution function of every service time was different from each other. A customer on his i-th service was regarded as a classCi-customer. The Laplace-Stieltjes Transform of the total sojourn time of a customer defined as the duration from the customer arrival until the departure from the system was presented. Therefore, a useful tool is provided for modeling analysis of communication systems. |
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| Keywords: | M/G/1 queueing system feedback sojourn time Laplace-Stieltjes transform |
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