Approximating the Equilibrium Behavior of Multi-Server Loss Systems

A procedure is given for approximating the equilibrium behavior of multi-server loss systems having distinguishable servers and multiple customer types under light to moderate traffic intensity. Calls are assumed to arrive according to independent Poisson processes for each customer type. General service time distributions which may depend on both server and customer type are allowed. For N servers, the approximation routine consists of a simple iterative procedure in N nonlinear equations. Computational experience with respect to the convergence properties of the iteration and the accuracy of the approximation is given.