Ergodicity and perturbation bounds for inhomogeneous birth and death processes with additional transitions from and to the origin

DOI10.1515/amcs-2015-0056zbMath1347.93007OpenAlexW2296136832MaRDI QIDQ327008

Yacov Satin, Anna Korotysheva, Sergey Shorgin, V. Yu. Korolev, Rostislav Razumchik, Alexander I. Zejfman

Publication date: 13 October 2016

Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/amcs-2015-0056

zbMATH Keywords

perturbation boundsergodicity boundsinhomogeneous birth and death processes

Mathematics Subject Classification ID

General systems (93A10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (7)

On the bounds for a two-dimensional birth-death process with catastrophes ⋮ Ergodicity and truncation bounds for inhomogeneous birth and death processes with additional transitions from and to origin ⋮ Truncation Bounds for Approximations of Inhomogeneous Continuous-Time Markov Chains ⋮ On limiting characteristics for a non-stationary two-processor heterogeneous system with catastrophes, server failures and repairs ⋮ On a class of Markovian queuing systems described by inhomogeneous birth-and-death processes with additional transitions ⋮ \(M^X/M/c\) queue with catastrophes and state-dependent control at idle time ⋮ A catastrophic queueing model with delayed action

Cites Work

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