Generalized product-form stationary distributions for Markov chains in random environments with queueing applications

DOI10.1239/aap/1113402405zbMath1064.60163OpenAlexW2171232352MaRDI QIDQ4676433

Antonis Economou

Publication date: 3 May 2005

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

Full work available at URL: https://doi.org/10.1239/aap/1113402405

zbMATH Keywords

potentialresolventcontinuous-time Markov chainpartial balanceproduct-form stationary distributionESTA property

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Numerical analysis or methods applied to Markov chains (65C40) Processes in random environments (60K37) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (10)

Lumping and reversed processes in cooperating automata ⋮ Random walks in a queueing network environment ⋮ ON MULTISERVER RETRIAL QUEUES: HISTORY, OKUBO-TYPE HYPERGEOMETRIC SYSTEMS AND MATRIX CONTINUED-FRACTIONS ⋮ Compound Markov counting processes and their applications to modeling infinitesimally over-dispersed systems ⋮ Correlation formulas for Markovian network processes in a random environment ⋮ Stationary distributions and convergence for \(M/M/1\) queues in interactive random environment ⋮ Birth and death processes in interactive random environments ⋮ Loss systems in a random environment: steady state analysis ⋮ Stationary analysis of certain Markov-modulated reflected random walks in the quarter plane ⋮ Separable solutions for Markov processes in random environments

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