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A graph-theoretic approach for optimizing signalized intersections under connected vehicle environment

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Abstract

Urban roads populated with a host of heterogeneous traffic exhibit very complex driving behavior, and liberal lateral movements result in a haphazard non-lane-following scenario. Optimizing the green time and the cycle time of signalized intersections on such roads turns out to be a highly challenging task. In this paper, we present a novel graph-theoretic approach to optimize the delay at signalized intersections under connected vehicle environment. We first present a graph-theoretic approach to design an optimal phase plan for the intersection. Then, we propose signal control algorithms to optimize the green time and the cycle time of the signalized intersection. We implemented the proposed algorithms in MATLAB and conducted a detailed simulation study in the VISSIM traffic simulator to evaluate the effectiveness of the proposed algorithms. We present the simulation results and the analysis to demonstrate that the proposed algorithms significantly reduce the delay and queue length compared with vehicle actuated control and queue-based proportional policy at the intersection.

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Authors and Affiliations

  1. Department of Instrumentation and Control Engineering, National Institute of Technology, Tiruchirappalli, India

    Sharmila Devi Kumaravel & Ramakalyan Ayyagari

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  1. Sharmila Devi Kumaravel
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  2. Ramakalyan Ayyagari
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Correspondence to Sharmila Devi Kumaravel.

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Kumaravel, S.D., Ayyagari, R. A graph-theoretic approach for optimizing signalized intersections under connected vehicle environment. Sādhanā 46, 152 (2021). https://doi.org/10.1007/s12046-021-01651-y

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  • DOI: https://doi.org/10.1007/s12046-021-01651-y

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