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In this paper, a discrete‐time multiserver queueing system with infinite waiting room and general independent arrivals is considered. The delay performance of such a system, under a first‐come‐first‐served queueing discipline, is evaluated by means of a purely analytical technique. Specifically, explicit formulae are derived for such quantities as the probability generating function, the mean value and the variance of the delay. The results of the study are useful, for instance, in the context of fast packet switching with output queueing, where the switching elements have their output ports organized in groups, each group corresponding to a separate output queue.

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