Abstract

In this paper we study multi-server queues with deterministic service times and a phase-type arrival process. In particular, we consider for the interarrival time hyperexponential distributions and mixtures of Erlang distributions with the same scale parameter. We give an algorithm to compute the steady state probabilities of the number of customers in the system and derive explicit expressions for various operating characteristics. Special attention is paid to the numerical evaluation of the required transition probabilities and the implementation of the iterative solution method for the steady state probabilities.

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