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带有反馈的双端重试排队系统

朱翼隽 单净璇 周宗好

江苏大学学报(自然科学版)2011,Vol.32Issue(1):120-124,5.
江苏大学学报(自然科学版)2011,Vol.32Issue(1):120-124,5.DOI:10.3969/j.issn.1671-7775.2011.01.026

带有反馈的双端重试排队系统

Study on retrial double-ended queueing system with feedback

朱翼隽 1单净璇 1周宗好1

作者信息

  • 1. 江苏大学,理学院,江苏,镇江,212013
  • 折叠

摘要

Abstract

On the basis of the traditional double-ended queue, a retrial double-ended queueing system with feedback is studied for the stock exchange.We propose that the buyers and sellers in business are at both ends in the queuing model, and that the customers at both ends are subject to Poisson distribution.The necessary and sufficient condition for the system in steady state is proved by embedding Markov chain.Markov process is constructed by means of supplementary variable, and the differential equation is listed.At last the queue length of the system in the steady state is obtained by probability generating function.

关键词

重试排队/反馈/双端/补充变量法/概率母函数

分类

数理科学

引用本文复制引用

朱翼隽,单净璇,周宗好..带有反馈的双端重试排队系统[J].江苏大学学报(自然科学版),2011,32(1):120-124,5.

基金项目

国家自然科学基金资助项目(70571030). (70571030)

江苏大学学报(自然科学版)

OA北大核心CSTPCD

1671-7775

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