Diffusion approximation of open queueing networks with critical traffic levels

DOI10.1007/BF01070376zbMath0748.60090OpenAlexW2073987053MaRDI QIDQ4007336

L. I. Lukashuk

Publication date: 27 September 1992

Published in: Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01070376

zbMATH Keywords

open Jackson networkdiffusion process with a reflecting boundaryqueueing process at the network nodes

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Cites Work

• Reflected diffusion processes with jumps
• A limit theorem for nonnegative additive functionals of storage processes
• Point processes and queues. Martingale dynamics
• Open Queueing Networks in Heavy Traffic
• Stochastic differential equations with reflecting boundary conditions
• Limit Theorems for Queueing Networks. II
• Martingales on Jump Processes. I: Representation Results
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Diffusion approximation of open queueing networks with critical traffic levels