Analysis of an \(\mathrm{MMAP}/\mathrm{Ph}_{1}, \mathrm{Ph}_{2}/N/\infty\) queueing system operating in a random environment

DOI10.2478/amcs-2014-0036zbMath1322.60195OpenAlexW2019614093MaRDI QIDQ747387

Sergey Dudin, Olga S. Dudina, Che Soong Kim, Alexander N. Dudin

Publication date: 16 October 2015

Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amcs-2014-0036

zbMATH Keywords

Laplace-Stieltjes transformphase-type distributionrandom environmentmarked Markovian arrival process

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Markov renewal processes, semi-Markov processes (60K15)

Related Items (7)

Optimization of the service strategy in a queueing system with energy harvesting and customers' impatience ⋮ Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks ⋮ Infinite-server queueing tandem with Markovian arrival process and service depending on its state ⋮ On an \(MMAP/(PH, PH)/1/( \infty , N)\) queueing-inventory system ⋮ A queueing system with heterogeneous impatient customers and consumable additional items ⋮ Analysis of an MAP/PH/1 queue with flexible group service ⋮ Bounds on the rate of convergence for one class of inhomogeneous Markovian queueing models with possible batch arrivals and services

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