Technical Note—Delays in Single-Server Queues with Batch Input

P. J. Burke
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P. J. Burke: Bell Laboratories, Holmdel, New Jersey

Operations Research, 1975, vol. 23, issue 4, 830-833

Abstract: Standard works on queuing theory are in error in the calculation of the equilibrium delay distribution—and even of the average delay—in a single-server system with batch input, when the batches are not of constant size. This paper corrects the error, which occurs in connection with that portion of the delay of a customer due to the service times of other members of the same batch.

Date: 1975
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