Analysis of multivariate Markov modulated Poisson processes

DOI10.1016/0167-6377(92)90020-4zbMath0755.60058DBLPjournals/orl/SumitaM92OpenAlexW1999454267WikidataQ57549480 ScholiaQ57549480MaRDI QIDQ1200759

Yasushi Masuda, Ushio Sumita

Publication date: 16 January 1993

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6377(92)90020-4

zbMATH Keywords

generating functioncovariance functionsAsymptotic expansionsmultivariate Markov modulated Poisson process

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

• A Markov-modulated M/G/1 queue. I: Stationary distribution
• A single-server queue with server vacations and a class of non-renewal arrival processes
• An Asymptotic Analysis of a Queueing System with Markov-Modulated Arrivals
• The N/G/1 queue and its detailed analysis
• On the Matrix Renewal Function for Markov Renewal Processes

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