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

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

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