在实地调研得出道路平均每车道通行能力随着车道数的增加而边际递减的基础上,参照流体力学的研究方法,得出考虑换道的车道交通流动力学模型.采用特征线分析法得到该模型的解析解.运用数学方法分析了边际递减的原因和递减的规律,并运用实测数据验证了数学解释的合理性,得出换道频率的增加是通行能力递减的主要原因.
Methodological gaps exist in the literature on analyzing the relationship between expressway capacity and the number of lanes. Based on extensive field survey of traffic flow in Beijing, the findings show average capacity per lane decreases with increasing number of lanes on uninterrupted expressway segments. An explanation and trend of the decrease are analyzed upon the mathematical analysis. The rationality of the explanation is validated by the surveyed data. It reveals that the increase of lanechanging activity and its associated disturbance to traffic stream causes significant reduction in average capacity per lane on freeways. The results of the researches are the background support that tends to revise the highway capacity manuals, optimize planning and design of Toad network, and improve supervision and control of traffic network.