Analysis of an Infinite-Server Queue $$MAP_k|G_k|\infty $$ in Random Environment with k Markov Arrival Streams and Random Volume of Customers

DOI10.1007/978-3-319-97595-5_24zbMath1452.60056OpenAlexW2885899380MaRDI QIDQ5126567

Khanik Kerobyan, Koffi Enakoutsa, Ruben Kerobyan

Publication date: 20 October 2020

Published in: Information Technologies and Mathematical Modelling. Queueing Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-97595-5_24

zbMATH Keywords

random environmentcatastropheMarkov arrival processinfinite-server queue modelresource vector

Mathematics Subject Classification ID

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

Related Items (1)

Virtual waiting time in single-server queueing model \(M|G|1\) with unreliable server and catastrophes

Cites Work

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• An \(M/G/\infty\) queue with m customer types subject to periodic clearing
• Generalized Erlang problem for service systems with finite total capacity
• Fundamentals of Matrix-Analytic Methods
• The M/G/∞ Queue in Random Environment
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• On the M^X/G/∞ queue by heterogeneous customers in a batch
• The Infinite-Server Queue with Poisson Arrivals and Semi-Markovian Services

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