Kronecker-Based Infinite Level-Dependent QBD Processes

DOI10.1239/JAP/1354716665zbMath1268.60099OpenAlexW2164856879MaRDI QIDQ4903050

M. Can Orhan, Tuǧrul Dayar

Publication date: 19 January 2013

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

Full work available at URL: https://projecteuclid.org/euclid.jap/1354716665

zbMATH Keywords

Lyapunov functionergodicityMarkov processnumerical solutionsteady state distributionbiochemical systems dynamics

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Population dynamics (general) (92D25) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (2)

Numerical Methods for Integral Equations of the Second Kind with NonSmooth Solutions of Bounded Variation ⋮ Stationary Distributions of Continuous-Time Markov Chains: A Review of Theory and Truncation-Based Approximations

Uses Software

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• StochKit
• StochKit2

Cites Work

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• HOM4PS-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method
• A class of hierarchical queueing networks and their analysis
• A matrix continued fraction algorithm for the multiserver repeated order queue.
• Infinite level-dependent QBD processes and matrix-analytic solutions for stochastic chemical kinetics
• Bounding Stationary Expectations of Markov Processes
• Sufficient conditions for regularity, recurrence and ergodicity of Markov processes
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes
• Some properties of the rate perators in level dependent uasi-birth-and-death processes with countable number of phases
• Bounding the equilibrium distribution of Markov population models
• Stochastic approach to chemical kinetics

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