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Elementary congestion models sometimes require analysis of G/G/l systems with hypere.xponentially distributed interarrival time and service time distributions. It is shown that for such systems, the ergodic waiting time distribution is itself hypere.xponentially distributed. A simple computational procedure is provided to fmd the parameters needed. Green's function methods are employed to motivate the factorization required. The relevance of these results to the delay in the overflow process of M/M/S is discussed.

HYPEREXPONENTIAL WAITING TIME STRUCTURE IN HYPEREXPONENTIAL H_K/H_L/1 SYSTEMS