A queue with poisson input and semi-Markov service times: busy period analysis

Peter Purdue

14 citations0/0 files storedJournal of Applied Probability

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Advanced Queuing Theory Analysis Probability and Statistical Research Probability and Risk Models

Abstract

We discuss here an extension of a queueing model studied by Neuts and also by Çinlar. We obtain a matrix form of Takács' equations and exhibit the equilibrium conditions. We also show that the conditions imposed by Neuts and by Çinlar in order to obtain their results concerning the busy period are not necessary.

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1966The single server queue with Poisson input and semi-Markov service times 1971A queue subject to extraneous phase changes 1967Queues with semi-Markovian arrivals 1967Time dependence of queues with semi-Markovian services 1970Two servers in series, studied in terms of a Markov renewal branching process

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1983Stationary queuing systems with dependencies 2017A single-server queue with batch arrivals and semi-Markov services

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