Dobrushin Mean-Field Approach for Queueing Large-Scale Networks with a Small Parameter

DOI10.1007/978-3-319-66836-9_33zbMath1459.60191OpenAlexW2753878340MaRDI QIDQ3305460

Galina O. Tsareva, Sergey A. Vasilyev

Publication date: 7 August 2020

Published in: Communications in Computer and Information Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-66836-9_33

zbMATH Keywords

small parametercountable Markov chainssystems of differential equations of infinite orderanalytical methods in probability theorylarge network modelingsingular perturbated systems of differential equations

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Cites Work

• Geometric theory of semilinear parabolic equations
• Large queueing system where messages are transmitted via several routes
• Models for transportation networks
• Queueing system with selection of the shortest of two queues: An asymptotic approach
• Global stability of infinite systems of nonlinear differential equations and nonhomogeneous countable Markov chains
• Condensation in large closed Jackson networks
• Fractional Poisson processes and their representation by infinite systems of ordinary differential equations
• Comparability and Monotonicity of Markov Processes
• Systems of Differential Equations of Infinite Order with Small Parameter and Countable Markov Chains
• ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO CERTAIN PROBLEMS INVOLVING NON-LINEAR DIFFERENTIAL EQUATIONS CONTAINING A SMALL PARAMETER MULTIPLYING THE HIGHEST DERIVATIVES
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