The cyclic queue and the tandem queue

O.J. Boxma, H. Daduna

Research output: Contribution to journalArticleAcademicpeer-review

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Abstract

We consider a closed queueing network, consisting of two FCFS single server queues in series: a queue with general service times and a queue with exponential service times. A fixed number N of customers cycle through this network. We determine the joint sojourn time distribution of a tagged customer in, first, the general queue and, then, the exponential queue. Subsequently, we indicate how the approach toward this closed system also allows us to study the joint sojourn time distribution of a tagged customer in the equivalent open two-queue system, consisting of FCFS single server queues with general and exponential service times, respectively, in the case that the input process to the first queue is a Poisson process.
Original languageEnglish
Pages (from-to)275-295
JournalQueueing Systems: Theory and Applications
Volume77
Issue number3
DOIs
Publication statusPublished - 2014

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