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Title: A queuing model for road traffic simulation

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.
Authors:
; ;  [1] ;  [2]
  1. University of Bejaia, LAMOS, 06000, Bejaia (Algeria)
  2. University Paris-Est, IFSTTAR, GRETTIA, F-77447 Marne-la-Vallée (France)
Publication Date:
OSTI Identifier:
22391115
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1648; Journal 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)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AVAILABILITY; DEMAND; DENSITY; DIAGRAMS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; QUEUES; STOCHASTIC PROCESSES; VELOCITY