直左复线有轨电车干线可变带宽绿波模型

为降低有轨电车在交叉口的停车次数和交通延误，同时兼顾社会车辆通行效率，提出可容纳直行线路、左转线路有轨电车和社会车辆3类绿波系统的干线信号协调控制方法。设计直左轨道分叉交叉口的4种信号相位组合方案，构建社会车辆绿波系统、有轨电车直行线路和左转线路绿波系统的约束条件，以及3个绿波系统的交互性约束条件。基于可变绿波带宽优化模型，提出以社会车辆绿波带宽最大为优化目标的混合整数规划模型，并应用算例对所提模型进行有效性验证。研究结果表明：算例中有轨电车线路绿波带宽为10 s，社会车辆双向绿波带宽不低于34 s，最大绿波带宽为63.6 s。本文模型能够在满足直行与左转复线有轨电车绿波通行的条件下，为干线社会车辆提供最大带宽绿波，有效提升了直左复线有轨电车与干线社会车辆整体的通行效率。

Multiband Model for Arterial Traffic Involving Straight and Left Turn Trams

In order to reduce the delay and stoppages of the trams and take into account the efficiency of general traffic, this paper proposes an arterial traffic signal coordination method which includes straight tram lines, left turn tram lines and general traffic together. First, four typical phase schemes were designed for the intersection with straight and left turn tram lines. Second, the constraints of green wave systems for the general traffic, the straight trams, and the left turn trams were established, respectively. The interactive constraints of the three green waves systems were constructed as well. Third, the constraints and objective function constituted a mixed integer programming, based on the classic MULTIBAND model. Finally, a case study was performed for the model validation. The bandwidths of green waves for trams were 10 s, and the bandwidths of green waves for general traffic were more than 34 s, with 63.6 s as the maximum bandwidth. The results indicate that the proposed arterial traffic signal coordination model can find the optimal solution of the green wave with maximal bandwidth for general traffic, under the premise of providing both straight trams and left turn trams basic green wave systems.