Stationary analysis of the infinite-server queue modulated by a multi-phase Markovian environment

DOI10.1007/S12190-017-1132-1zbMath1396.90030OpenAlexW2755692819MaRDI QIDQ1786938

Zai-Ming Liu, Sen-Lin Yu

Publication date: 25 September 2018

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

Full work available at URL: https://doi.org/10.1007/s12190-017-1132-1

zbMATH Keywords

Markovian environmentsupplementary variable\(M/M/\infty\) queue

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Cites Work

• Markov-modulated infinite-server queues with general service times
• Finite-time \(\mathcal{H}_\infty\) static output control of Markov jump systems with an auxiliary approach
• Stochastic decomposition in M/M/\({\infty}\) queues with Markov modulated service rates
• The M/M/\(C\) queueing system in a random environment
• Refined large deviations asymptotics for Markov-modulated infinite-server systems
• Modeling traffic flow interrupted by incidents
• A large-deviations analysis of Markov-modulated infinite-server queues
• Average optimality for continuous-time Markov decision processes with a policy iteration approach
• Stochastic decomposition of the \(M/G/\infty \) queue in a random environment
• On queues with Markov modulated service rates

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