A discrete single server queue with Markovian arrivals and phase type group services

DOI10.1155/S1048953395000153zbMath0822.60086OpenAlexW2126313303MaRDI QIDQ1893873

Srinivas R. Chakravarthy, Attahiru Sule Alfa, K. Laurie Dolhun

Publication date: 10 August 1995

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/47260

zbMATH Keywords

Markovian arrival processphase type distributionsmatrix geometric methodgroup service

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Markov renewal processes, semi-Markov processes (60K15) Continuous-time Markov processes on discrete state spaces (60J27) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20) Renewal theory (60K05)

Related Items (3)

Analysis of a finite-buffer bulk-service queue under Markovian arrival process with batch-size-dependent service ⋮ Waiting time distribution of the \(MAP/D/k\) system in discrete time -- a more efficient algorithm. ⋮ Algorithmic analysis of the BMAP/D/k system in discrete time

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