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具有N策略和负顾客的反馈抢占型的M/G/1重试可修排队系统
  • ISSN号：0254-3079
  • 期刊名称：应用数学学报
  • 时间：0
  • 页码：323-335
  • 分类：O226[理学—运筹学与控制论;理学—数学]
  • 作者机构：[1]中南大学概率统计研究所,长沙410075, [2]中山大学数学与计算科学学院,广州510275
  • 相关基金：国家自然科学基金资助项目（No.60574002）和湖南省研究生创新基金（No.3340-74236000001）资助项目.
  • 相关项目：马尔可夫到达排队系统的建模分析及算法研究
作者： 吴锦标|尹小玲|刘再明|
关键词： N策略, 负顾客, 反馈, 抢占, 重试, N-policy, G-queues, feedback, preemptive resume, retrial queues
中文摘要：

本文研究了具有N策略和负顾客的反馈抢占型的M/G/1重试可修排队系统.所有顾客（包括正顾客和负顾客）的到达都是泊松过程,服务器是可修的.利用吸收分布,求出了系统存在稳态的充分必要条件.利用补充变量法,求出了系统稳态时系统和重试区域中队长分布的概率母函数,以及其他一些重要的排队指标.

英文摘要：

In this paper, the M/G/1 retrial G-queues with N-policy, feedback, preemptive resume and unreliable server is studied. Arrivals of customers（both positive customers and negative customers） are a Poisson process and the server may break down for the arrivals of negative customers. The necessary and sufficient condition for the system stability is obtained along with method of absorbed distribution. The generation function of steadystate distributions of the number of customers in the system and orbit and other important queueing quantities are obtained along with method of supplementary variables.

同期刊论文项目
排队系统的最优控制及其应用的研究
期刊论文 49
马尔可夫到达排队系统的建模分析及算法研究
期刊论文 61
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期刊信息
  • 《应用数学学报》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国数学会 中国科学院数学与系统科学研究院
  • 主编：丁夏畦
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100190
  • 邮箱：
  • 电话：
  • 国际标准刊号：ISSN：0254-3079
  • 国内统一刊号：ISSN：11-2040/O1
  • 邮发代号:2-822
  • 获奖情况:
  • 1996、2000年获“中科院优秀科技期刊”三等奖,1997年获“第二届全国优秀科技期刊”三等奖,2001年入选“双效期刊”（中国期刊方阵）
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:6864