Perturbation analysis of a variable M/M/1 queue: a probabilistic approach

DOI10.1239/aap/1143936150zbMath1114.60071OpenAlexW1983677247MaRDI QIDQ5475399

Nelson Antunes, Christine Fricker, Philippe Robert, Fabrice M. Guillemin

Publication date: 19 June 2006

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/aap/1143936150

zbMATH Keywords

random environmentperturbation analysisbusy periodM/M/1 queueexpansion of cycle formula

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items

Perturbation analysis of Markov modulated fluid models, Sojourn time asymptotics in processor sharing queues with varying service rate, Erlang loss queueing system with batch arrivals operating in a random environment, Perturbation analysis of an \(M/M/1\) queue in a diffusion random environment

Cites Work

• Unnamed Item
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• Perturbation analysis of an \(M/M/1\) queue in a diffusion random environment
• Analysis of multi-server queueing model of ABR
• Sojourn times in a processor sharing queue with service interruptions
• On a reduced load equivalence for fluid queues under subexponentiality
• SOJOURN TIMES IN NON-HOMOGENEOUS QBD PROCESSES WITH PROCESSOR SHARING
• Point processes and random measures
• The M/M\1 queue in a heavy‐tailed random environment
• Perturbation analysis for denumerable Markov chains with application to queueing models