Class dependent departure process from multiclass phase queues: Exact and approximate analyses

Class dependent departure process from multiclass phase queues: Exact and approximate analyses

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Article ID: iaor19993167
Country: Netherlands
Volume: 108
Issue: 2
Start Page Number: 379
End Page Number: 404
Publication Date: Jul 1998
Journal: European Journal of Operational Research
Authors:
Keywords: markov processes
Abstract:

In this paper we study class dependent departure processes from phase type queues. When the arrival process for a subset of the classes is a Poisson process, we determine the Laplace–Stieltjes transform of the stationary inter-departure times of the combined output of all the other classes. We also propose and test approximations for the squared coefficient of variation of the stationary inter-departure times of each customer class. The approximations are based on the detailed structure of the second order measures of the aggregate departure process. Finally, we propose renewal approximations for the class dependent departure process that take into account the utilization of the queue that customers next visit.

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