Abstract
For a M/M/1 queueing system with group arrivals of random size the transition probabilities of the queue size process and the distribution of the maximal queue size during a time interval [0,t) are calculated. Simple formulae for the corresponding Laplace transforms are given.
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Stadje, W. Some exact expressions for the bulk-arrival queue mx/M/1. Queueing Syst 4, 85–92 (1989). https://doi.org/10.1007/BF01150859
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DOI: https://doi.org/10.1007/BF01150859