1995/05/21 by Jan A. Freund, Jan Freund, Freund, Jan +2
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Cellular Automata and Applications #FOS: Physical sciences #Stochastic processes and statistical mechanics #Traffic control and management #adap-org #nlin.AO
paper · pdf · doi:10.48550/arxiv.adap-org/9505001
32 pages, uuencoded PostScript, figures included
arxiv created 1995/05/21 · openalex publication_date 1995/05/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A two--dimensional cellular automaton is introduced to model the flow and jamming of vehicular traffic in cities. Each site of the automaton represents a crossing where a finite number of cars can wait approaching the crossing from each of the four directions. The flow of cars obeys realistic traffic rules. We investigate the dependence of the average velocity of cars on the global traffic density. At a critical threshold for the density the average velocity reduces drastically caused by jamming. For the low density regime we provide analytical results which agree with the numerical results.