Point of queue size change analysis of the $PH/PH/k$ system with heterogeneous servers

DOI10.1016/J.ORL.2017.09.004zbMath1409.90056OpenAlexW2757869606MaRDI QIDQ1728359

Attahiru Sule Alfa, Qi-Ming He

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.2017.09.004

zbMATH Keywords

$PH/PH/k$ systemcontinuous time and discrete timepoint of queue size change analysis

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Cites Work

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• The PH/PH/1 queue at epochs of queue size change
• Independent markov processes in parallel
• Algorithms for the multi-server queue with phase type service
• Introduction to Matrix Analytic Methods in Stochastic Modeling

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