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Cellular automaton model with dynamical 2D speed-gap relation reproduces empirical and experimental features of traffic flow

2015/03/20 by Junfang Tian, Tian, Junfang, Bin Jia +9
Engineering · Physics and Astronomy · Social Sciences · #Cellular Automata and Lattice Gases (nlin.CG) #FOS: Physical sciences #Physics and Society (physics.soc-ph) #Traffic Prediction and Management Techniques #Traffic control and management #Transportation Planning and Optimization #nlin.CG #physics.soc-ph

paper · pdf · doi:10.48550/arxiv.1503.05986

arxiv created 2015/03/20 · openalex publication_date 2015/03/20 · arxiv updated 2015/03/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

This paper proposes an improved cellular automaton traffic flow model based on the brake light model, which takes into account that the desired time gap of vehicles is remarkably larger than one second. Although the hypothetical steady state of vehicles in the deterministic limit corresponds to a unique relationship between speeds and gaps in the proposed model, the traffic states of vehicles dynamically span a two-dimensional region in the plane of speed versus gap, due to the various randomizations. It is shown that the model is able to well reproduce (i) the free flow, synchronized flow, jam as well as the transitions among the three phases; (ii) the evolution features of disturbances and the spatiotemporal patterns in a car-following platoon; (iii) the empirical time series of traffic speed obtained from NGSIM data. Therefore, we argue that a model can potentially reproduce the empirical and experimental features of traffic flow, provided that the traffic states are able to dynamically span a 2D speed-gap region.

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