Computation of the moments of queue length in the $BMAP \slash SM \slash 1$ queue

DOI10.1016/j.orl.2017.07.003zbMath1409.90062OpenAlexW2740874031MaRDI QIDQ1728310

Alexander N. Dudin, Konstantin E. Samouylov, Valentina I. Klimenok

Publication date: 22 February 2019

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

Full work available at URL: https://doi.org/10.1016/j.orl.2017.07.003

zbMATH Keywords

batch Markovian arrival processmoments of queue lengthsemi-Markovian service

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (1)

A \(BMAP/BMSP/1\) queue with Markov dependent arrival and Markov dependent service batches

Cites Work

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• The semi-markovian queue: theory and applications
• The N/G/1 queue and its detailed analysis
• Some steady-state distributions for theMAP /SM /1 queue
• Spectral analysis of M/G/1 and G/M/1 type Markov chains

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