Busy period analysis for the GI/M/1 queue with exponential vacations

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• 关键词：Cycle analysis ; Idle period ; Multiple vacations ; Removable server
• 刊名：Operations Research Letters
• 出版年：2007
• 期刊代码：134_01676377
• 类别：et
• 出版时间：January 2007
• 卷：35
• 期：1
• 页码：114-118
• 文件大小：133 K

摘要

We consider the busy period in the GI/M/1 queue with multiple exponential vacations. We derive the transform of the joint distribution of the length of a busy period, the number of customers served during the busy period, and the residual interarrival time at the instant the busy period ends.