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Complete Traffic Patterns Around A T-Shaped Intersection

Author

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  • DING-WEI HUANG

    (Department of Physics, Chung Yuan Christian University, Chung-li, Taiwan)

Abstract

We propose Asymmetric Simple Exclusion Processes to analyze the traffic states around a T-shaped intersection. The system consists of six roadways connected by the intersection. There are nine control-parameters separated into three categories: injectionαi, removalβi, and turningPi, (wherei = 1, 2, 3). As these nine parameters change, traffic states on each roadway reveal a two-phase transition: free flow (F) and jam (J). Together, there can be64 (=26)possible combinations for the traffic phases. We observe 63 distinct phases. We analyze three major causes of congestion:(1) increase of traffic demand simulated by injectionαi;(2) decrease of roadway capacity simulated by removalβi;(3) redistribution of traffic pattern simulated by turningPi.In case (1), congestion can be confined to the roadways heading toward the intersection. In case (2), spillovers can be observed and congestion will pervade the whole system. In case (3), congestion can be triggered by both increasingPiand decreasingPi. The phase diagram can be a convenient tool to summarize the results of numerical simulations. We also compare the unsignalized intersection to an intersection regulated by traffic signals. We find that the operation of traffic signals is very inefficient in resolving the congestion around a T-shaped intersection.

Suggested Citation

  • Ding-Wei Huang, 2010. "Complete Traffic Patterns Around A T-Shaped Intersection," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 21(02), pages 189-204.
    • Handle: RePEc:wsi:ijmpcx:v:21:y:2010:i:02:n:s0129183110015063
    DOI: 10.1142/S0129183110015063
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