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排队系统中等待时间分布的一种数值近似方法

A Numerical Approximation of Waiting Time Distribution in Queueing System
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摘要 文章结合GI/G/1排队系统中等待时间分布的Lindley积分方程,给出了一种计算等待时间分布的数值近似方法,并通过三种经典排队模型对此方法进行了检验。结果表明此方法在交通强度较小的情况下具有很好的收敛性,且操作简单、快捷、易于实现。 This paper provides a numerical approximation to calculate the waiting time distribution which focuses on the Lindley integral equation in GI/G/ 1 queueing system. Then three typical models have been used to compare with this method, the results show that in low traffic intensity this method has a very good convergence. This method is simple, quick, and easy to implement.
作者 王志 彭勃
出处 《浙江万里学院学报》 2009年第2期31-34,47,共5页 Journal of Zhejiang Wanli University
关键词 排队系统 等待时间 Lindley积分方程 数值近似 queueing system waiting time Lindley integral equation numerical approximation
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参考文献5

  • 1Kleinrock. Queueing Systems(Volume 1,Theory) [M]. New York: John Wiley and Sons. 1975:281-283.
  • 2D. Jagerman. Approximations for Waiting Time in a GI/G/1 Systems[J]. Queueing Systems, 1987(2):351-362.
  • 3B. Venkateshwara Rao, Richard M. Feldman. Numerical Approximation for the Steady-state Waiting Times in a GI/G/1 Queue[ J ]. Queueing Systems, 1999 (31) : 25-42.
  • 4Zhengting Hou, Guoxin Liu. Markov Skeleton Processes and Their Applications[M]. Bei Jing: Science Press, 2005 : 123-143.
  • 5席康,葛宁,阮方,冯重熙.GI/G/1系统等待时间分布的数值近似法[J].清华大学学报(自然科学版),2002,42(7):921-924. 被引量:1

二级参考文献2

  • 1B. Venkateshwara Rao,Richard M. Feldman. Numerical approximations for the steady‐state waiting times in a GI/G/1 queue[J] 1999,Queueing Systems(1-2):25~42
  • 2M. L. Chaudhry,Manju Agarwal,J. G. C. Templeton. Exact and approximate numerical solutions of steady-state distributions arising in the queueGI/G/1[J] 1992,Queueing Systems(1-2):105~152

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