Perturbation analysis of the \(\mathrm{GI}/\mathrm{M}/s\) queue

DOI10.1007/s11009-016-9517-4zbMath1383.60083OpenAlexW2526481310MaRDI QIDQ1707046

Karim Abbas, Badredine Issaadi, Djamil Aissani

Publication date: 28 March 2018

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11009-016-9517-4

zbMATH Keywords

algorithmsimulationMarkov chainsstrong stabilityqueueing system

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (2)

Weak stability bounds for approximations of invariant measures with applications to queueing ⋮ A weak perturbation theory for approximations of invariant measures in M/G/1 model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Estimates for the deviations of the transition characteristics of nonhomogeneous Markov processes
• Strongly stable Markov chains
• The problem of stability in queueing theory
• Improved bounds for a condition number for Markov chains
• Estimate of the strong stability in an (\(R,s,S\)) inventory model
• On a Question Concerning Condition Numbers for Markov Chains
• Series Expansions for Continuous-Time Markov Processes
• Quantitative Estimates in an M₂/G₂/1 Priority Queue with Non-Preemptive Priority: The Method of Strong Stability
• Taylor series expansions for stationary Markov chains
• SERIES EXPANSIONS FOR FINITE-STATE MARKOV CHAINS
• Sensitivity and convergence of uniformly ergodic Markov chains
• Perturbation theory and finite Markov chains
• Comparison of perturbation bounds for the stationary distribution of a Markov chain

This page was built for publication: Perturbation analysis of the \(\mathrm{GI}/\mathrm{M}/s\) queue