A new stochastic cellular automaton model on traffic flow and its jamming phase transition

DOI10.1088/0305-4470/39/50/002zbMath1148.82310arXivcond-mat/0611455OpenAlexW2006789215MaRDI QIDQ3418458

Katsuhiro Nishinari, Shinji Iida, Satoshi Sakai

Publication date: 5 February 2007

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0611455

Mathematics Subject Classification ID

Traffic problems in operations research (90B20) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

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Social dilemma structure hidden behind traffic flow with route selection ⋮ Underlying social dilemmas in mixed traffic flow with lane changes ⋮ Simulating evacuations with obstacles using a modified dynamic cellular automata model ⋮ Analysis of a cellular automaton model for car traffic with a slow-to-stop rule ⋮ Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model ⋮ Dangerous drivers foster social dilemma structures hidden behind a traffic flow with lane changes ⋮ Velocity control for improving flow through a bottleneck ⋮ Complex traffic flow that allows as well as hampers lane-changing intrinsically contains social-dilemma structures ⋮ τ-function of discrete isomonodromy transformations and probability

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