Bilevel Programming for Traffic Signal Coordinated Control considering Pedestrian Crossing

Abstract

With the rapid development of the subway, more and more people choose it as the main method of transportation. However, practically, the large number of pedestrians near some large metro stations can also correspondingly affect the traffic of motor vehicles on the roads adjacent to the stations. In this study, coordinated control of the traffic signal which considers the pedestrian crossing delay is studied based on this background. Firstly, the model of progression band in adjacent intersections is analyzed comprehensively, and the calculation formulas of progression bandwidth and the delay of vehicles which are from the progression of traffic flow under different conditions are given. Secondly, five different models of pedestrian delay are analyzed. Under different conditions of motor vehicle and pedestrian traffic flow, the Vissim fitting and proofreading are carried out and the optimal models under different conditions are obtained. Finally, the bilevel programming problem which fuses the above two models is determined; by coding an algorithm, it can be resolved. Furthermore, taking eight signalized intersections from Jiming Temple to Daxinggong along Nanjing Metro Line 3 as the actual background, the calculation and optimization of coordinated control are carried out. It is found that at the expense of the traffic efficiency of large intersections to a certain extent, a wider progression band can be formulated on the roads between them, and pedestrian delays can be reduced in general.

Graphical Optimization Method for Symmetrical Bidirectional Corridor Progression

“…A horizontal line can be drawn from O L1 and rotated until the cotangent of its angle with the x-axis equals the corridor progression design speed V. is process is defined as the first rotation transformation of the PTC line in the first round. We define the rotated ray as the initial PTC line L 1 and then assign V to adjusted speed V (1,1) .…”

“…e green center point of the coordinated phase at intersection I 1 is defined as the reference point O L1 of the coordinate system of the time-space diagram. A horizontal line from the reference point O L1 can be drawn, and then, it is rotated until the cotangent of its angle with the x-axis equals the corridor progression design speed V. We can define the rotated ray as the initial PTC line L 1 and assign the value of V to adjusted speed V (1,1) . en, the first rotation transformation in the first round is completed.…”

“…e corresponding adjusted speed V R2 of l R2 is 8.75 m/s, within the adjusted speed range [8.25, 13.75] m/s. erefore, l R2 is defined as PTC line L 2 , and the value of V R2 is assigned to the adjusted speed V (1,2) . Up to now, the second rotation transformation in the first round is finished.…”

“…e Second Round of Rotation Transformation. According to the adjusted speed V (1,8) finally obtained after the first round of rotation transformation, the end PTC line of vehicle band L E0 and the beginning PTC line of vehicle band L B0 of the outbound progression can be drawn, as shown in Figure 12. Meanwhile, the bottleneck intersections of the end PTC line are put into the set S E0 � {I 7 }.…”

“…Intersections are the road network nodes that frequently cause traffic disruption, severe delays, and accidents in a city [1].…”