The characteristic polynomial and the Laplace representations of MAP(2)s

DOI10.1080/15326349.2016.1199282zbMath1361.60063OpenAlexW2525503426MaRDI QIDQ2976120

Sunkyo Kim

Publication date: 13 April 2017

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326349.2016.1199282

zbMATH Keywords

characteristic polynomialminimal representationLaplace-Stieljes transformMarkovian arrival processesmoment fittings

Mathematics Subject Classification ID

Continuous-time Markov processes on discrete state spaces (60J27) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Cites Work

• On approximating higher order MAPs with MAPs of order two
• A Markovian canonical form of second-order matrix-exponential processes
• Modeling Cross Correlation in Three-Moment Four-Parameter Decomposition Approximation of Queueing Networks
• A single-server queue with server vacations and a class of non-renewal arrival processes
• A versatile Markovian point process
• The Markov-modulated Poisson process (MMPP) cookbook
• Decomposition of general tandem queueing networks with MMPP input
• Connection-wise end-to-end performance analysis of queueing networks with MMPP inputs

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