Transient Markov arrival processes

DOI10.1214/aoap/1050689597zbMath1030.60067OpenAlexW1993815490WikidataQ58645511 ScholiaQ58645511MaRDI QIDQ1413684

Guy Latouche, Marie-Ange Remiche, Peter G. Taylor

Publication date: 17 November 2003

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1050689597

zbMATH Keywords

Markovian arrival processMarkov additive processquasistationary distributiontransient processterminating process

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Continuous-time Markov processes on discrete state spaces (60J27)

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Cites Work

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• Continuous-time Markov chains. An applications-oriented approach
• On the exact distribution of the iostropic planar point processes of phase type
• Finite birth-and-death models in randomly changing environments
• Proc symp on congestion theory
• A single-server queue with server vacations and a class of non-renewal arrival processes
• A versatile Markovian point process
• A closure characterisation of phase-type distributions
• A unified stochastic model for the packet stream from periodic sources
• The first two moment matrices of the counts for the markovian arrival process
• Introduction to Matrix Analytic Methods in Stochastic Modeling

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