The Distribution of Queuing Network States at Input and Output Instants
Journal of the ACM (JACM)
Analysis of balanced fork-join queueing networks
Proceedings of the 1996 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
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This paper gives an exact analysis of mean response time of fork-join systems. The response time is shown to be the sum of parallel wait and parallel service times which are analogous to wait and service times in non-parallel systems. It is shown that the parallel service time of a job is dependent on the state at arrival time of the job. A formal parallel wait time analysis, similar to the wait time analysis of non-parallel systems is also given. The analysis is carried out using event/time sequence (ET-S) trees, a simple modeling technique introduced in this paper.