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多重休假的Bernoulli反馈M/G/1排队系统的稳态存在条件
引用本文:赵冰,彭晓婷,李成钢,曹静,田乃硕.多重休假的Bernoulli反馈M/G/1排队系统的稳态存在条件[J].燕山大学学报,2007,31(2):137-141.
作者姓名:赵冰  彭晓婷  李成钢  曹静  田乃硕
作者单位:1. 燕山大学,理学院,河北,秦皇岛,066004
2. 燕山大学,教务处,河北,秦皇岛,066004
3. 燕山大学,理学院,河北,秦皇岛,066004;东软集团北京分公司,北京,100000
摘    要:休假排队是经典排队理论的延伸和发展,并已发展成为一个有独立特色的研究方向,形成了以随机分解为核心的基本理论框架。本文系统地研究了多重休假的Bernoulli反馈M/G/1排队模型,这是一类新服务机制的休假排队系统。本文给出了此排队模型的稳态存在的条件。

关 键 词:多重休假  Bernoulli反馈  嵌入Markov链
文章编号:1007-791X(2007)02-0137-05
修稿时间:2006年10月15

Existent condition of steady distribution of M/G/1 queue with Bernoulli feedback and multiple vacations
ZHAO Bing,PENG Xiao-ting,LI Cheng-gang,CAO Jing,TIAN Nai-shuo.Existent condition of steady distribution of M/G/1 queue with Bernoulli feedback and multiple vacations[J].Journal of Yanshan University,2007,31(2):137-141.
Authors:ZHAO Bing  PENG Xiao-ting  LI Cheng-gang  CAO Jing  TIAN Nai-shuo
Abstract:Vacation queue is the expansion and development of the classic queuing theory and it had been developed into a study direction with distinguishing features, and formed a basic theoretical framework, whose core was stochastic decomposition. In this paper, M/G/1 queue with Bernoulli feedback and multiple vacations is studied, which is a complete new vacation queuing model. The existent condition of the steady distribution of this queueing system is also derived.
Keywords:multiple vacation  Bernoulli feedback  imbedded Markov chain
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