当前位置:文档之家› 美国数学建模翻译

美国数学建模翻译

Keywords:capacity;volume - velocity model;correlation factors;traffic flowlane occupancy influencing on traffic capacity of urban roadAnalysis of Factors Influencing on Traffic CapacityAbstractLane occupancy will change the traffic capacity of the road, have an impact on urban traffic.Build a mathematical model to quantitative analyze the influence factors such as accident location and traffic lanes occupancy on urban traffic flow.针对第一问,首先统计上下游路段通行量并换算成标准车当量,并引入实际问题修正系数,建立横截面实际通行能力动态模型,利用matlab 编程计算,绘制交通事故横断面实际通行能力变化曲线,得到事故处理中事故点处通行能力为16.8pcu/min,事故发生3min 后开始出现堵塞。

然后对小区路口车流量和车道宽度进一步分析,得到小区路口车流量与横断面通行能力不相关,以及横向干扰和车道宽度增加一个等级,通行能力分别平均下降5.6%和28%。

Question1 , the first statistics on traffic volume and the downstream segment converted into equivalent standard car, and the introduction of practical issues correction factor, the actual capacity to establish a cross-section of dynamic model, using matlab programming calculations, draw a cross traffic accident 。

Actual capacity curve section to obtain the accident processing capacity at the point of the accident 16.8pcu / min, 3min after the accident began to appear blocked. Then the cell junctions and lane width further traffic analysis,traffic junctions and cross-section of the cell capacity is not relevant, as well as lane width transverse interference and increase one level, The traffic capacity decreased by 5.6% and 28% respectiveThe cause of lane occupation varies.Considering the dense traffic flow and good continuity of the urban roads,once lane occupation happens , it will reduce traffic capacity of all lanes , cause traffic jams and affect citizens' going out . A correct assessment of the degree to which the lane occupation influence the urban traffic will provide theoretical base for the decision made by the traffic administrative d epartment .Problems needed solving according to the contents showed in the affix, investigat e the two traffic accidents happened in the same part and cross section of the roa d and consider questions below :(1) according to video 1(affix 1), describe the changing process of the actualtraffic capacity in the cross section where traffic accidents happened from the o ccurrence of the accidents to the evacuation .The cause of lane occupation varies.Considering the dense traffic flow and good continuity of the urban roads,once lane occupation happens , it will reduce traffic capacity of all lan es , cause traffic jams and affect citizens' going out . A correct assessment of the degree to which the lane occupation influence the urban traffic will provide theoretical base for the decision made by the traffic administrative department .Problems needed solvingaccording to the contents showed in the affix, investigate the two traffic accidents happ ened in the same part and cross section of the road and consider questions below :(1) according to video 1(affix 1), describe the changing process of the actual traffic capa city in the cross section where traffic accidents happened from the occurrence of the accid ents to the evacuation .ly.针对第二问,用相同方法处理视频二中数据,定义实际通行能力差异度和稳定性差异度,建立基于差异度的不同占道横断面通行能力差异模型。

求解得到占用2、3 车道对实际通行能力的影响比占用1、2 车道大6.9%。

对车辆取向比较分析,得到公交车主要在2,3 车道行驶,车道占用率为42%和58%,对车流速度分析,得到事故发生在2,3车道公交车速度减少量比事故发生在1,2 车道速度减少量大1.21m/s,得出小轿车速度对发生事故的车道位置比公交车更敏感。

Question2, using the same way to processing data of vidio , define the difference degree of ractical capacity and stability . Establish the model with difference degree based on different lane and the capacity of cross-sectional . Solving obtain occupancy lanes 2,3Effect on the actual capacity of the large 6.9% compared occupy 1,2 driveway. Comparative analysis of the orientation of the vehicle, get the bus lane main traveling in 2,3, lane occupancy rate of 42% and 58%, speed of traffic analysis, the accident occurred in 2,3-lane bus speed reduction ratio in an accident , two-lane speed reduction amount 1.21m / s, drawn car accident rate on the lane position is more sensitive than the bus.针对第三问,由守恒公式和交通波理论,推导2 种适应范围不同的排队长度估算公式构成道路拥堵排队长度估算模型。

模型显示完全堵塞时,排队长度与上下游截面车流量之差对时间积分值成正比;不完全堵塞时,排队长度与上下游截面车流密度之和对时间积分值成正比。

利用附件一中数据对模型进行检验,得到两公式估算值与实际值的关联度分别为0.79、0.68,模型估算结果良好。

然后分析车道最优车流密度,得到该道路需将车流密度控制在44.9pcu/km以下,并对上游车流量作敏感性分析,得到当上游车流量增大10%时,平均队伍长度增加57%。

Question3 , the conservation equation and traffic wave theory to derive two kinds of adaptation range of different public queue length estimationType constitute road congestion queue length estimation model. Models display completely blocked, the queue length and the downstream section of the traffic When not completely blocked, queue length and the downstream section of the traffic density and; difference between the amount of time proportional to the integral valueBetween proportional integral value. Annex data using a model can be tested, get off two formulas to estimate the value and the actual valueJoint degrees respectively 0.79,0.68, model estimates well. Then analyzed the optimal lane traffic density, to get the roadTraffic density needs to be controlled in 44.9pcu / km or less, and upstream traffic for sensitivity analysis, when the upstream trafficIncreasing the amount of 10%, the average increase of 57 percent ranks length.针对第四问,首先对第三问模型进行匹配修改,估算上游路口和事故截断面车流量随时间变化的函数关系式和相关参数,考虑红绿灯的周期性影响,得到排队长度预测模型。

相关主题