Renewal processes of phase type

Marcel F. Neuts

105 citations0/0 files storedNaval Research Logistics Quarterly

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

Abstract

Abstract This paper discusses a class of analytically and numerically tractable renewal processes, which generalize the Poisson process. When used to describe interarrival or service times in queues, these renewal processes lead to computationally explicit solutions which involve only real arithmetic. Previous modifications of the Poisson process, based on the Erlang or the hyperexponential distributions, appear as particular cases.

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1978Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector

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