TheG/M/mqueue with finite waiting room
- 1 December 1975
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 12 (4) , 779-792
- https://doi.org/10.2307/3212728
Abstract
TheG/M/mqueue with onlyswaiting places is studied. We start by studying the joint distribution of the number of customers present at timetand the time elapsing until the next arrival aftert.This gives the asymptotic distribution of the number of customers at the moment of an arrival and at an arbitrary moment. Then waiting time and virtual waiting time distributions are easily obtained. For theG/M/1 queue also the transient solution is given. Finally the cases= ∞ is considered.Keywords
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