Computable Throughput and Metastability in a Cellular Automaton Model for Traffic Flow | Zendy

Ryan Gantner | Zendy

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Computable Throughput and Metastability in a Cellular Automaton Model for Traffic Flow

Author(s) -

Ryan Gantner

Publication year - 2013

Publication title -

isrn probability and statistics

Language(s) - English

Resource type - Journals

eISSN - 2090-472X

pISSN - 2090-4711

DOI - 10.1155/2013/246045

Subject(s) - cellular automaton , ergodic theory , throughput , flow (mathematics) , computation , computer science , block (permutation group theory) , automaton , metastability , statistical physics , stochastic cellular automaton , microscopic traffic flow model , algorithm , theoretical computer science , mathematics , mechanics , physics , real time computing , traffic generation model , geometry , mathematical analysis , telecommunications , quantum mechanics , wireless

A cellular automaton model for traffic flow is analyzed. For this model, it is shown that under ergodic initial configurations, the distribution of cars will converge in time to a mixture of free flow and solid blocks. Furthermore, the nature of the free flow and solid block distributions is fully described, thus allowing for a specific computation of throughput in terms of the parameters. The model is also shown to exhibit a hysteresis phenomenon, which is similar to what has been observed on actual highways.

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