摘要
研究批量到达带反馈的多重休假M/G/1排队.建立休假,反馈,和成批到达的多类型相结合的排队模型.采用了嵌入马尔可夫链的方法研究了该排队系统,推导出稳态队长分布的母函数及其随机分解结果,给出忙期的LST和全假期的均值.最后考虑了批量等于1的特殊情况.
In this paper, a queueing model with multiple vacation and feedback with batch arrival is considered. We provide a multi-type queueing system, including vacation, feedback and batch arrival. We study the queue system by the method of embedded Markov chain, The generating function of steady state queue length and the stochastic decompositions is obtained. We also get the LST and the mean of the busy period and the whole vacation. Finally we consider the special case that the batch are equal to one.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第24期113-117,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金(60874118)
关键词
成批到达
多重休假
反馈
随机分解
batch arrival
multiple vacation
feedback
stochastic decomposition
