Stability of Multi-Dimensional Birth-and-Death Processes with State-Dependent 0-Homogeneous Jumps

DOI10.1239/aap/1396360103zbMath1286.93189arXiv0910.5851OpenAlexW2064756063MaRDI QIDQ5415093

Matthieu Jonckheere, Vsevolod Shneer

Publication date: 9 May 2014

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.5851

zbMATH Keywords

transiencepositive recurrencebirth-and-death processfluid limit

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Stochastic stability in control theory (93E15)

Related Items (5)

Estimates of some characteristics of multidimensional birth-and-death processes ⋮ Estimation of probabilities for multidimensional birth-death processes ⋮ Multidimensional random walk with reflections ⋮ Analysis of the shortest relay queue policy in a cooperative random access network with collisions ⋮ Exponential ergodicity and steady-state approximations for a class of markov processes under fast regime switching

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