Stability for Fluid Queues: Characteristic Inequalities

DOI10.1080/15326349.2013.750533zbMath1271.60097OpenAlexW1987969602WikidataQ56778627 ScholiaQ56778627MaRDI QIDQ4929147

Guy Latouche, Marie-Ange Remiche, Maria Govorun

Publication date: 13 June 2013

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326349.2013.750533

zbMATH Keywords

Wiener-Hopf factorizationfluid queuesQBD processes

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (11)

General Solution of the Poisson Equation for Quasi-Birth-and-Death Processes ⋮ \(V\)-uniform ergodicity for fluid queues ⋮ Perturbation analysis of Markov modulated fluid models ⋮ Markov-modulated Brownian motion with temporary change of regime at level zero ⋮ The Survey on Markov-Modulated Arrival Processes and Their Application to the Analysis of Active Queue Management Algorithms ⋮ Approximations for time-dependent distributions in Markovian fluid models ⋮ The morphing of fluid queues into Markov-modulated Brownian motion ⋮ Networks of interacting stochastic fluid models with infinite and finite buffers ⋮ Exact tail asymptotics for fluid models driven by an \textit{M/M/c} queue ⋮ Singularly Perturbed Markov Modulated Fluid Queues ⋮ Componentwise accurate fluid queue computations using doubling algorithms

Cites Work

• Unnamed Item
• Fluid models in queueing theory and Wiener-Hopf factorization of Markov chains
• Nonsymmetric Algebraic Riccati Equations and Wiener--Hopf Factorization for M-Matrices
• The Matrix Equation $AZ + B - ZCZ - ZD = 0$
• Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Matrix-geometric invariant measures for G/M/l type Markov chains
• Fluid Flow Models and Queues—A Connection by Stochastic Coupling
• Probabilistic interpretations of some duality results for the matrix paradigms in queueing theory
• ETAQA: an efficient technique for the analysis of QBD-processes by aggregation
• Spectral analysis of M/G/1 and G/M/1 type Markov chains
• Invariant Measures for Fluid Queues
• Functions of Matrices
• Drift Conditions for Matrix-Analytic Models

This page was built for publication: Stability for Fluid Queues: Characteristic Inequalities