Algebraic method of regional green wave coordinated control

This study proposes an algebraic method of regional green wave coordinated control (AM-RGWCC) that can operate efficiently. The research on regional green wave coordinated control (RGWCC) has gradually become a hot spot, improving the overall operational efficiency of the control area more comprehensively and systematically. We usually encounter the difficulties of many constraints, high complexity, and low efficiency when using the modeling method to solve the RGWCC problem. AM-RGWCC is developed in this study to overcome these challenges. The overall coordinated effect is assured by realizing the comprehensive optimization of phase sequence, offset, and common signal cycle. A step-by-step design of AM-RGWCC is established to reduce the complexity by analyzing the comprehensive influence of offset difference and bias distance on the green wave bandwidth. Finally, the case study shows that for a three-by-three road network, an ideal scheme can be obtained by AM-RGWCC to maximize the green wave bandwidth in one second. The green wave bandwidth of each intersection accounts for more than 84%. The results illustrate that the coordinated effect and solving efficiency are significantly improved. The proposed algebraic method will have certain advantages in the RGWCC design of a large-scale road network.