American Institute of Mathematical Sciences

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October  2008, 4(4): 661-672. doi: 10.3934/jimo.2008.4.661

Optimal traffic signal control for an $M\times N$ traffic network

Yinfei Li 1, and  Shuping Chen 2,

1. 

Department of Mathematics, Zhejiang University, Hangzhou 310027, China, College of Statistics & Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China
2. 

GuiZhou University, GuiYang GuiZhou 550025, China, Other lines, Springfield, MO 65801-2604

Received  July 2007 Revised  March 2008 Published  November 2008

This paper discusses the optimal traffic control signal setting for an $M \times N$ rectangular road traffic network. By introducing the concepts of synchronization rate and non-synchronization degree, a mathematical model is constructed and an optimization problem is posed. Then, a new iterative algorithm is developed to solve this optimal traffic control signal setting problem. Convergence properties for this iterative algorithm are established. Finally, a numerical example is solved to illustrate the effectiveness of the method.
Keywords: optimization., intersection, traffic signal setting, synchronization, Urban traffic network.
Mathematics Subject Classification: Primary: 90C29, 90C35; Secondary: 90B10, 90B2.
Citation: Yinfei Li, Shuping Chen. Optimal traffic signal control for an $M\times N$ traffic network. Journal of Industrial and Management Optimization, 2008, 4 (4) : 661-672. doi: 10.3934/jimo.2008.4.661
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