基于冲突点的交织区复杂度量化研究

Quantitative Analysis on Complexity of Weaving Segment with Conflicts

进出交织区的车道数越多,不同流向的交通流线间的交织越复杂,形成的冲突点也越多,导致交织区内车辆运行状态越复杂.本文针对高速公路和城市快速路交织区,采用图示法并借助数学建模,分析了冲突点的形成机理,研究了冲突点数量与进出口车道数间的非线性关系,得到了分流点、交叉点、合流点数量的计算公式,进而构建了交织区复杂度和车道复杂度的静态模型.交织区复杂度是交织区内各流向相互干扰程度的量化指标,车道复杂度是交织区内各流向对该车道流向的干扰程度的量化指标,分别描述了交织区和交织区段内车道的复杂程度,值越大越复杂.模型计算结果与统计结果一致,与定性分析有相同趋势,期望为交织区动态复杂度研究提供新思路.

The large number of lanes entering and exiting the weaving segment always leads to the more complex weaving and conflict points among traffic flows.This often makes running condition in weaving segment to be more complex.Focusing on the weaving segments of freeway and urban expressway,this paper analyzes the formation mechanism of conflict points and the non-linear relationship between amounts of conflict points and the number of lane at entry and exit using graph and mathematical modeling.Moreover,the calculation equations of diverging point,crossing point and merging point are obtained.Then,the paper proposes the static models of weaving segment complexity and lane complexity.The weaving segment complexity is the quantitative index that can reflect the interference among flows in different directions.The lane complexity is the quantitative index that can reflect interference with the flows on this lane by each flow in weaving segment.These two indexes respectively describe the complexity of total weaving segment and lane in weaving segment,and the higher values indicate more complexity.The calculation results match with statistical analysis and have the same trend as the qualitative analysis,which can be expected to provide a novel concept for dynamic complexity study.