dorsal/arxiv
View SchemaCellular Automata Models of Road Traffic
| Authors | Sven Maerivoet, Bart De Moor |
|---|---|
| Categories | |
| ArXiv ID | physics/0509082 |
| URL | https://arxiv.org/abs/physics/0509082 |
| DOI | 10.1016/j.physrep.2005.08.005 |
| Journal | Physics Reports, vol. 419, nr. 1, pages 1-64, november 2005 |
Abstract
In this paper, we give an elaborate and understandable review of traffic cellular automata (TCA) models, which are a class of computationally efficient microscopic traffic flow models. TCA models arise from the physics discipline of statistical mechanics, having the goal of reproducing the correct macroscopic behaviour based on a minimal description of microscopic interactions. After giving an overview of cellular automata (CA) models, their background and physical setup, we introduce the mathematical notations, show how to perform measurements on a TCA model's lattice of cells, as well as how to convert these quantities into real-world units and vice versa. The majority of this paper then relays an extensive account of the behavioural aspects of several TCA models encountered in literature. Already, several reviews of TCA models exist, but none of them consider all the models exclusively from the behavioural point of view. In this respect, our overview fills this void, as it focusses on the behaviour of the TCA models, by means of time-space and phase-space diagrams, and histograms showing the distributions of vehicles' speeds, space, and time gaps. In the report, we subsequently give a concise overview of TCA models that are employed in a multi-lane setting, and some of the TCA models used to describe city traffic as a two-dimensional grid of cells, or as a road network with explicitly modelled intersections. The final part of the paper illustrates some of the more common analytical approximations to single-cell TCA models.
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"abstract": "In this paper, we give an elaborate and understandable review of traffic\ncellular automata (TCA) models, which are a class of computationally efficient\nmicroscopic traffic flow models. TCA models arise from the physics discipline\nof statistical mechanics, having the goal of reproducing the correct\nmacroscopic behaviour based on a minimal description of microscopic\ninteractions. After giving an overview of cellular automata (CA) models, their\nbackground and physical setup, we introduce the mathematical notations, show\nhow to perform measurements on a TCA model\u0027s lattice of cells, as well as how\nto convert these quantities into real-world units and vice versa. The majority\nof this paper then relays an extensive account of the behavioural aspects of\nseveral TCA models encountered in literature. Already, several reviews of TCA\nmodels exist, but none of them consider all the models exclusively from the\nbehavioural point of view. In this respect, our overview fills this void, as it\nfocusses on the behaviour of the TCA models, by means of time-space and\nphase-space diagrams, and histograms showing the distributions of vehicles\u0027\nspeeds, space, and time gaps. In the report, we subsequently give a concise\noverview of TCA models that are employed in a multi-lane setting, and some of\nthe TCA models used to describe city traffic as a two-dimensional grid of\ncells, or as a road network with explicitly modelled intersections. The final\npart of the paper illustrates some of the more common analytical approximations\nto single-cell TCA models.",
"arxiv_id": "physics/0509082",
"authors": [
"Sven Maerivoet",
"Bart De Moor"
],
"categories": [
"physics.soc-ph"
],
"doi": "10.1016/j.physrep.2005.08.005",
"journal_ref": "Physics Reports, vol. 419, nr. 1, pages 1-64, november 2005",
"title": "Cellular Automata Models of Road Traffic",
"url": "https://arxiv.org/abs/physics/0509082"
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