A queuing model for road traffic simulation

Journal Article · Tue Mar 10 00:00:00 EDT 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4912745· OSTI ID:22391115

Guerrouahane, N.; Aissani, D.; Bouallouche-Medjkoune, L. ^[1]; Farhi, N. ^[2]

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1. University of Bejaia, LAMOS, 06000, Bejaia (Algeria)
2. University Paris-Est, IFSTTAR, GRETTIA, F-77447 Marne-la-Vallée (France)

We present in this article a stochastic queuing model for the raod traffic. The model is based on the M/G/c/c state dependent queuing model, and is inspired from the deterministic Godunov scheme for the road traffic simulation. We first propose a variant of M/G/c/c state dependent model that works with density-flow fundamental diagrams rather than density-speed relationships. We then extend this model in order to consider upstream traffic demand as well as downstream traffic supply. Finally, we show how to model a whole raod by concatenating raod sections as in the deterministic Godunov scheme.

• OSTI ID: 22391115
• Journal Information: AIP Conference Proceedings, Vol. 1648, Issue 1; Conference: ICNAAM-2014: International Conference on Numerical Analysis and Applied Mathematics 2014, Rhodes (Greece), 22-28 Sep 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AVAILABILITY
DEMAND
DENSITY
DIAGRAMS
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
QUEUES
STOCHASTIC PROCESSES
VELOCITY