Traffic lights, clumping and QBDs

DOI10.1080/15326349.2020.1815547zbMath1469.60285arXiv1911.01134OpenAlexW3097474523MaRDI QIDQ4994066

Steven R. Finch, Guy Latouche, Beatrice Meini, Guy Louchard

Publication date: 14 June 2021

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.01134

zbMATH Keywords

quasi-birth-and-death processesmaximum queue lengthtraffic lightsclumping heuristic

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Applications of branching processes (60J85) Traffic problems in operations research (90B20) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Uses Software

• SMCSolver

Cites Work

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• Asymptotics of the moments of extreme-value related distribution functions
• Probability approximations via the Poisson clumping heuristic
• Inverses of Vandermonde Matrices
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Numerical Methods for Structured Markov Chains

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