Application of Method of Differential Inequalities to Bounding the Rate of Convergence for a Class of Markov Chains

DOI10.1007/978-3-030-56323-3_8zbMath1457.34026OpenAlexW3094462949MaRDI QIDQ5132136

Victoria Oshushkova, Anastasia Kryukova, Yacov Satin, Alexander I. Zejfman

Publication date: 9 November 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-56323-3_8

zbMATH Keywords

Markov chainsforward Kolmogorov system

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Linear ordinary differential equations and systems (34A30) Asymptotic properties of solutions to ordinary differential equations (34D05) Differential inequalities involving functions of a single real variable (34A40)

Cites Work

• \(M^X/M/c\) queue with catastrophes and state-dependent control at idle time
• On truncations for weakly ergodic inhomogeneous birth and death processes
• Bounds on the rate of convergence for one class of inhomogeneous Markovian queueing models with possible batch arrivals and services

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