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Algorithmic analysis of theMAP/PH/1 retrial queue
Authors:Jesus R Artalejo  Srinivas R Chakravarthy
Institution:(1) Department of Statistics and Operations Research Faculty of Mathematics, Complutense University of Madrid, 28040 Madrid, Spain;(2) Department of Industrial and Manufacturing Engineering, Kettering University, 48504 Plint, MI, USA
Abstract:In this paper the distribution of the maximum number of customers in a retrial orbit for a single server queue with Markovian arrival process and phase type services is studied. Efficient algorithm for computing the probability distribution and some interesting numerical examples are presented.
Keywords:Markovian arrival process  retrial  busy period  queueing  maximal queue length  phase type distribution  and algorithmic probability
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