车道被占用后道路通行能力变化的数学模型分析

摘要

This paper aims to make a quantitative analysis of the impact of traffic lane occupancy on the actual urban road capacity. Under the given conditions, based on the analysis and process of the video-gathered data by the software such as EXCEL and prighin8.5, this paper constructs sine function model to describe the changing situations of road capacity, and establishes ball accumulation model to simulate the different impacts on the road capacity from different lane occupancy situation. Thus, under the given conditions, it analyzes the relations among the queue length of vehicles and actual road capacity of accident section, lasting time of the accident and the traffic flow on the upper reaches of the road.%为了定量研究车道被占用对城市道路实际通行能力的影响。本文根据所给条件，运用EXCEL和origin8.5等软件对视频采集的数据进行分析和处理，构建正弦函数模型描述道路通行能力的变化情况，建立小球堆积模型模拟不同车道被占用对道路通行能力的影响差异。并由此分析了在给定条件下车辆排队长度与事故横断面实际通行能力、事故持续时间、路段上游车流量间的关系。