A Diffusion-Based Analysis of a Multiclass Road Traffic Network

DOI10.1287/stsy.2019.0065zbMath1460.90063arXiv1912.09275OpenAlexW3131350313MaRDI QIDQ5856673

Jaap Storm, M. R. H. Mandjes

Publication date: 29 March 2021

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

Full work available at URL: https://arxiv.org/abs/1912.09275

zbMATH Keywords

functional central limit theoremconservation lawsdiffusion approximationtravel timefundamental diagramfunctional law of large numberstraffic flow theoryroad traffic networks

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Traffic problems in operations research (90B20) Functional limit theorems; invariance principles (60F17)

Related Items (1)

A fluid model of a traffic network with information feedback and onramp controls

Cites Work

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• Gaussian skewness approximation for dynamic rate multi-server queues with abandonment
• Point processes and queues. Martingale dynamics
• Strong approximation for Markovian service networks
• Markov-modulated Ornstein–Uhlenbeck processes
• Hyperbolicity and kinematic waves of a class of multi-population partial differential equations
• An $n$ -populations model for traffic flow
• DIFFUSION LIMITS FOR A MARKOV MODULATED BINOMIAL COUNTING PROCESS
• Shock Waves on the Highway
• On kinematic waves II. A theory of traffic flow on long crowded roads

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