基于车道等饱和度的交叉口车道功能优化模型

A Novel Model for Optimization of Lane Allocation at Isolated Intersection

摘要:

考虑不同进口道、不同流向和不同车道功能等复杂因素的相互影响，建立了基于等饱和度的交叉口车道功能优化模型。模型根据不同车道布置模式，考虑了进口流量比最小和进口流量比方差最小两类目标函数，并引入了进出口道车道平衡、流量匹配、车道功能冲突、车道等饱和度等约束条件。针对合用车道情形，根据不同模式分别建立了等饱和度约束方程。结合模型特征，给出了模型的快速求解方法。实例验证表明，交叉口车道功能优化模型简单有效，能够优化出每个进口推荐备选车道功能方案，模型可以较大程度上降低交叉口关键流量比之和，提高交叉口交通设计的效率和精度。

Abstract:

This paper presents a novel model of lane allocation optimization for signalized isolated intersection,considering different approaches, movements, and lane function use as well as the effect of their interactions. The mathematical model takes into consideration the constraints, including the number of approach lanes, number of exit lanes，flow conservation，lane markings of approach lanes，and equalized degree of saturation. The optimization model aims at the least critical flow factor and the least minimum variance of flow factors for arm. For shared-lanes, constraint equations of equalized degree of saturation are established according to different lane-use patterns. Finally, the optimization model is verified by the actual data of intersections, which lays a theoretical foundation for the development of signal control aided design software.