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Reversible Transitions in a Cellular Automata-Based Traffic Model with Driver Memory

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  • Tomoko Sakiyama
  • Ikuo Arizono

Abstract

Here, we develop a new cellular automata-based traffic model. In this model, individual vehicles cannot estimate global traffic flows but can only detect the vehicle ahead. Each vehicle occasionally adjusts its velocity based on the distance to the vehicle in front. Our model generates reversible phase transitions in the vehicle flux over a wide range of vehicle densities, and the traffic system undergoes scale-free evolution with respect to the flux. We thus believe that our model reveals the relationship between the macro-level flows and micro-level mechanisms of multi-agent systems for handling traffic congestion, and illustrates how drivers’ decisions impact free and congested flows.

Suggested Citation

  • Tomoko Sakiyama & Ikuo Arizono, 2019. "Reversible Transitions in a Cellular Automata-Based Traffic Model with Driver Memory," Complexity, Hindawi, vol. 2019, pages 1-8, December.
    • Handle: RePEc:hin:complx:1956521
    DOI: 10.1155/2019/1956521
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    References listed on IDEAS

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    2. Neto, J.P.L. & Lyra, M.L. & da Silva, C.R., 2011. "Phase coexistence induced by a defensive reaction in a cellular automaton traffic flow model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(20), pages 3558-3565.
    3. Tian, Junfang & Li, Guangyu & Treiber, Martin & Jiang, Rui & Jia, Ning & Ma, Shoufeng, 2016. "Cellular automaton model simulating spatiotemporal patterns, phase transitions and concave growth pattern of oscillations in traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 560-575.
    4. Gao, Kun & Jiang, Rui & Wang, Bing-Hong & Wu, Qing-Song, 2009. "Discontinuous transition from free flow to synchronized flow induced by short-range interaction between vehicles in a three-phase traffic flow model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(15), pages 3233-3243.
    5. Treiber, Martin & Kesting, Arne & Helbing, Dirk, 2010. "Three-phase traffic theory and two-phase models with a fundamental diagram in the light of empirical stylized facts," Transportation Research Part B: Methodological, Elsevier, vol. 44(8-9), pages 983-1000, September.
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