A simple cellular automaton model with dual cruise-control limit in the framework of Kerner’s three-phase traffic theory

Ding-Jun Fu, Qi-Lang Li, Rui Jiang and Bing-Hong Wang

Physica A: Statistical Mechanics and its Applications, 2020, vol. 559, issue C

Abstract: In this study, a new cellular automata traffic flow model with dual cruise-control limit, where the vehicles with their velocities v=1,5 are not affected by noise and the slow-to-start rule is also introduced for standing vehicles with just one free cell, is established. Computer simulations are used to identify three typical phases from the fundamental diagram: free flow, synchronized flow, and wide moving jam. However, in the original cruise-control limit cellular automata traffic model, there are only two kinds of traffic phases, namely, free flow and congested traffic flow. Furthermore, in the ”linear” synchronous flow region, the ratio of flow to density depends on the randomization probability. The synchronous flow with scattered data is firstly found under the dense distribution. Compared to the previous models, the rules of our model are simpler, but it can present many features of Kerner’s three-phase theory, in particular, 2Z-characteristic for phase transitions.

Keywords: Traffic flow; Cruise-control limit; Randomization probability; Synchronized flow; Cellular automaton (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:559:y:2020:i:c:s037843712030563x

DOI: 10.1016/j.physa.2020.125075

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