多重休假的Bernoulli反馈M/G/1排队系统的稳态队长

李成钢;田乃硕;赵冰;刘元慧

系统科学与数学 ›› 2009, Vol. 29 ›› Issue (2) : 162-167.

PDF(342 KB)
中国科学院数学与系统科学研究院期刊网
PDF(342 KB)
系统科学与数学 ›› 2009, Vol. 29 ›› Issue (2) : 162-167. DOI: 10.12341/jssms10123
论文

多重休假的Bernoulli反馈M/G/1排队系统的稳态队长

    李成钢(1)(2), 田乃硕(1), 赵冰(1), 刘元慧(1)
作者信息 +

The Steady State Queue Length of the M/G/1 Queue withBernoulli Feedback and Multiple Vacations

    LI Chenggang(1)(2), TIAN Naishuo(1), ZHAO Bing(1), LIU Yuanhui(1)
Author information +
文章历史 +

摘要

系统地研究了多重休假的Bernoulli反馈排队模型,采用嵌入Markov链的方法,给出系统的一步转移概率矩阵
进而求得稳态队长分布,并对排队顾客数进行随机分解,得到附加队长的母函数.

Abstract

In this paper, the M/G/1 queue with Bernoulli feedback and
multiple vacations is studied. By means of imbedded Markov chain,
transition probability matrix of the system and the
distribution of the steady-state queues length are deduced. By the
stochastic decomposition of the steady-state queue length, the
generating function of the number of customers waiting service is derived.

关键词

多重休假 / Bernoulli反馈 / 嵌入Markov链 / 转移概率矩阵.

Key words

Multiple vacations / Bernoulli feedback / imbedded Markov chain / transition probability matrix.

引用本文

EndNote

Ris (Procite)

Bibtex

导出引用
李成钢 , 田乃硕 , 赵冰 , 刘元慧. 多重休假的Bernoulli反馈M/G/1排队系统的稳态队长. 系统科学与数学, 2009, 29(2): 162-167. https://doi.org/10.12341/jssms10123
LI Chenggang , TIAN Naishuo , ZHAO Bing , LIU Yuanhui. The Steady State Queue Length of the M/G/1 Queue withBernoulli Feedback and Multiple Vacations. Journal of Systems Science and Mathematical Sciences, 2009, 29(2): 162-167 https://doi.org/10.12341/jssms10123
中图分类号： 60K25   
PDF(342 KB)

192

Accesses

0

Citation

Detail
段落导航
相关文章

/

〈 〉