Abstract
In this paper, we review some of the methods used to find the number of customers in system in an GI/M/c/N queue for finite and infinite buffer sizes N, and we add some new methods. It was found that with modern computers, most of these methods provide results in a fraction of a second, even for high values of c and N. We also show that the traditional methods for dealing with infinite buffers lead to double integrals, a problem that is avoided by using a novel method we suggest.
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