2017年美赛O奖论文A题.pdf

Team Control Number For office use only For office use only T1 68303 F1 T2 F2 T3 Problem Chosen F3 T4 B F4 2017 MCM/ICM Summary Sheet Merge Better After Toll Summary With the rapid increment of the traffic flow, the problem of merging after the toll barriers has risen public concern. In our paper, we aim to construct a model to find a better design of the area following the toll barrier. First, we classify the area following the toll barrier which may already be imple- mented into eight kinds according to the different shapes, sizes, and merging patterns of the area based on the toll plazas in reality. Second, we use VISSIM to do the simulation of the typical eight models of the area following the toll barrier. Through setting the necessary observation points, we obtain the data of throughput, length of queues and the average time of delay we need in the following evaluation model. Third, we build a comprehensive evaluation model based on PCA to evaluate the eight typical models and the optimum model we build. Considering the selection of the index, we choose the number of merging points to indicate accident prevention of the area, the length of queues, the throughput and the average time of delay to indicate the traffic capacity of the area, and the height of the trapezoid area to indicate the con- struction cost of the area. After data normalization, we get the best model which is i