Analytical investigation on the minimum traffic delay at a two-phase intersection considering the dynamical evolution process of queues

Hong-Ze Zhang, Rui Jiang, Mao-Bin Hu and Bin Jia
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Hong-Ze Zhang: School of Engineering Science, University of Science and Technology of China, Hefei 230026, P. R. China
Rui Jiang: School of Engineering Science, University of Science and Technology of China, Hefei 230026, P. R. China†MOE Key Laboratory for Urban Transportation, Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, P. R. China
Mao-Bin Hu: School of Engineering Science, University of Science and Technology of China, Hefei 230026, P. R. China
Bin Jia: School of Engineering Science, University of Science and Technology of China, Hefei 230026, P. R. China†MOE Key Laboratory for Urban Transportation, Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, P. R. China

International Journal of Modern Physics C (IJMPC), 2016, vol. 27, issue 10, 1-12

Abstract: This paper has studied the minimum traffic delay at a two-phase intersection, taking into account the dynamical evolution process of queues. The feature of delay function has been studied, which indicates that the minimum traffic delay must be achieved when at least one of the two constraint inequalities take the equal sign. We have derived the minimum delay as well as the corresponding traffic signal period, which shows that two situations are classified. Under certain circumstance, extra green time is needed for one phase while otherwise extra green time should be assigned to neither phase. Our work indicates that although the clearing policies were shown in many experiments to be optimal at isolated intersections, it is sometimes not the case.

Keywords: Traffic flow; traffic delay; two-phase intersection; queue (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S0129183116501163

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