| 高负荷下带重尾服务强占优先排队的扩散逼近 |
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| 引用本文： | 刘建民.高负荷下带重尾服务强占优先排队的扩散逼近[J].纯粹数学与应用数学,2010,26(4):559-566. |
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| 作者姓名： | 刘建民 |
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| 作者单位： | 长安大学理学院,陕西,西安,710064 |
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| 基金项目： | 长安大学科技发展基金 |
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| 摘 要： | 考虑的排队系统是单服务台,顾客的初始到来是依泊松过程来到服务台,顾客的服务时间是重尾分布,服务的原则是强占优先服务.在高负荷条件下对此模型进行研究,获得了系统中的负荷过程,离去过程和队长过程的扩散逼近.
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| 关 键 词： | 高负荷 重尾分布 强占优先服务 单服务台 扩散逼近 |
A heavy traffic diffiusion approximation for preemptive resume priority queueing with heavy tailed service |
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| LIU Jian-min.A heavy traffic diffiusion approximation for preemptive resume priority queueing with heavy tailed service[J].Pure and Applied Mathematics,2010,26(4):559-566. |
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| Authors: | LIU Jian-min |
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| Institution: | LIU Jian-min(College of Science,Chang'an University,Xi'an 710064,China) |
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| Abstract: | A queueing model is consisted with a single server and a preemptive-resume discipline.Initiate customers go to the system at Poisson time points.Service time of customers has a heavy-tailed distribution.Diffiusion approximations for load process.Queue length process and departure process of the system in heavy traffic are obtained. |
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| Keywords: | heavy traffic heavy tailed distribution preemptive resume priority discipline a single-server diffiusion approximations |
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