Abstract
SummaryIn this paper results from Fluctuation Theory are used to analyse the imbedded Markov chains of two single server bulk-queueing systems, (i)with Poisson arrivals and arbitrary service time distribution and (ii) with arbitrary inter-arrival time distribution and negative exponential service time. The discrete time transition probailities and the equilibrium behaviour of the queue lengths of the systems have been obtained along with distributions concerning the busy periods. From the general results several special cases have been derived.
Publisher
Cambridge University Press (CUP)
Reference15 articles.
1. An Elementary Queueing Problem
2. The General Bulk Queue as a Hilbert Problem;Keilson;J. Roy. Stat. Soc.,1962
3. The Passage Problem for a Stationary Markov Chain
4. Queues with Batch Departures I
5. A Contribution to the Theory of Bulk Queues;Miller;J. Roy. Stat. Soc.,1959
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