Performance analysis approximation in a queueing system of type \(M/G/1\)

DOI10.1007/s00186-005-0022-8zbMath1137.90414OpenAlexW2017659915MaRDI QIDQ883069

Louiza Bouallouche-Medjkoune, Djamil Aissani

Publication date: 31 May 2007

Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00186-005-0022-8

zbMATH Keywords

\(M/G/1\) queueApproximationPerturbationSize stationary distributionStrong stability

Mathematics Subject Classification ID

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

Related Items (13)

Strong bounds on perturbations ⋮ Strong stability of the embedded Markov chain in an \(GI/M/1\) queue with negative customers ⋮ Measure of performances of the strong stability method ⋮ Asymmetric kernel method in the study of strong stability of the PH/M/1 queuing system ⋮ Phase-type approximations of service-time distributions in \(M/G/1\) queues ⋮ Error bounds on practical approximation for two tandem queue with blocking and non-preemptive priority ⋮ Quantitative Estimates in an M₂/G₂/1 Priority Queue with Non-Preemptive Priority: The Method of Strong Stability ⋮ Structural Perturbation Analysis of a Single Server Queue with Breakdowns ⋮ Kernel density in the study of the strong stability of the \(M/M/1\) queueing system ⋮ Impact of Nonparametric Density Estimation on the Approximation of the G∕G∕1 Queue by the M∕G∕1 One ⋮ Strong stability in a two-dimensional classical risk model with independent claims ⋮ Robust Sensitivity Analysis for Stochastic Systems ⋮ Strong Stability of the Batch Arrival Queueing Systems

Cites Work

• Strongly stable Markov chains
• The problem of stability in queueing theory
• Approximations for the M/G/m Queue
• Uniform Stability of Markov Chains
• The continuity of the single server queue
• Ein stetigkeitssatz für einlinige wartemodelle der bedienungstheorie
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Performance analysis approximation in a queueing system of type \(M/G/1\)