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

Yinfei Li; Shuping Chen

doi:10.3934/jimo.2008.4.661

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2008, Volume 4, Issue 4: 661-672. Doi: 10.3934/jimo.2008.4.661

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

Yinfei Li¹ and
Shuping Chen^2,

1.
Department of Mathematics, Zhejiang University, Hangzhou 310027, China, College of Statistics & Mathematics, Zhejiang Gongshang University, Hangzhou 310018
2.
GuiZhou University, GuiYang GuiZhou 550025, China, Other lines, Springfield, MO 65801-2604

Received: June 30, 2007

Revised: February 29, 2008

Published: September 2008

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Abstract

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.

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Mathematics Subject Classification: Primary: 90C29, 90C35; Secondary: 90B10, 90B20.

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