Continuity of the \(M/G/c\) queue

DOI10.1007/S11134-008-9073-XzbMath1149.60320DBLPjournals/questa/Breuer08OpenAlexW2149182559WikidataQ56753276 ScholiaQ56753276MaRDI QIDQ943990

Lothar Breuer

Publication date: 12 September 2008

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11134-008-9073-x

zbMATH Keywords

CouplingConvergence speedContinuityMulti-server queuePiecewise deterministic Markov process

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Queueing theory (aspects of probability theory) (60K25) Markov renewal processes, semi-Markov processes (60K15)

Related Items (1)

Extended generator and associated martingales for M/G/1 retrial queue with classical retrial policy and general retrial times

Uses Software

• EMpht

Cites Work

• Approximations for multi-server queues: System interpolations
• Transient and stationary distributions for the \(GI/G/k\) queue with Lebesgue-dominated inter-arrival time distribution
• Opsearch
• Stationary distributions for piecewise-deterministic Markov processes
• Stability of Piecewise-Deterministic Markov Processes
• Applied Probability and Queues
• On the Theory of Queues With Many Servers
• Calculation of the steady state waiting time distribution in GI/PH/\(c\) and MAP/PH/\(c\) queues
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