Elementary Methods for Some Waiting Time Problems

N. U. Prabhu
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N. U. Prabhu: The University of Western Australia

Operations Research, 1962, vol. 10, issue 4, 559-566

Abstract: Let W n be the waiting time of the n th arrival in a single server queuing system, and T = min{ n | W n = 0}. The distribution of T is obtained for the system M / G /1, and by applying a duality principle, Smith's theorem for GI / M /1 is deduced. The waiting time distribution in the system E k / D /1 is also obtained.

Date: 1962
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