Models of branching walks and their use in the reliability theory

DOI10.1134/S0005117910070052zbMath1205.60154OpenAlexW1972223932MaRDI QIDQ612112

E. B. Yarovaya

Publication date: 3 January 2011

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117910070052

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (5)

Limit theorems for queuing systems with regenerative doubly stochastic input flow ⋮ Structure of the population of particles for a branching random walk in a homogeneous environment ⋮ On the convergence rate for queueing and reliability models described by regenerative processes ⋮ Survival analysis of particle populations in branching random walks ⋮ Heavy-tailed branching random walks on multidimensional lattices. A moment approach

Cites Work

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• Use of spectral methods to study branching processes with diffusion in a noncompact phase space
• Queueing systems with renovation
• The moment analysis of a branching random walk on a lattice with a single source
• Critical branching random walks on low-dimensional lattices
• Bounds and Asymptotics for the Rate of Convergence of Birth-Death Processes
• Asymptotics of branching symmetric random walk on the lattice with a single source
• A limit theorem for a supercritical branching random walk on $ \mathbb Z^d$ with a single source
• A limit theorem for critical branching of a random walk on $ \mathbb Z^d$ with a single source

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