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高负荷情形下带转移时间的开排队网络强逼近
Strong Approximation for Opening Networkwith Transfer Time in High Loading
【摘要】 研究了较文[1]更一般的顾客带转移时间的k台开排队网络。借助于概率论强逼近理论,在高负荷情形下得到了队长、虚等待时间、顾客逗留时间和离去过程的强逼近定理。研究结果表明,在高负荷情形下,两种模型具有相同的强逼结果。
【Abstract】 AbstractIn this paper, a more general opening queueing network, in which customers transfer from one station to other with a random time, is studied by means of strong approximation theory. This model is a generalization of model in . Some strong approximation theroems for queueing length, virtual waiting time, sojourn time and departure process are obtained under high loading and a theorem about sojourn time in is corrected. These theorems indicate that two models have same strong approximation results.
【基金】 国家自然科学基金,安徽省自然科学基金
- 【文献出处】 工程数学学报 ,CHINESE JOURNAL OF ENGINEERING MATHEMATICS , 编辑部邮箱 ,1998年03期
- 【分类号】O226
- 【下载频次】34