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Some exact expressions for the bulk-arrival queue mx/M/1
Authors:W Stadje
Institution:(1) Fachbereich Mathematik/Informatik, Universität Osnabrück, Albrechtstraße 28, D-4500 Osnabrück, W. Germany
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.
Keywords:Group arrivals  single server  transition probabilities  maximal queue size  Laplace transforms
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