2017年美赛O奖论文B题1.pdf

Team Control Number For office use only For office use only T1 70545 F1 T2 F2 T3 Problem Chosen F3 T4 B F4 2017 MCM/ICM Summary Sheet Control Time Model: Wait One Second and Start Your Journey Summary People around the world are complaining about the traffic jams every day. Some people may spend more than 3 hours on their way from office to home everyday on their cars, which makes them frustrated. And our problem is to investigate the methods to optimize the design of toll plazas on highways, especially the area after merging, which is also a possible location where vehicles can be stuck in. Before establishment of our models, we list some assumptions to make the real life scenario easier to model. And then we start to analyze the existing models, from which we conclude their strengths and weaknesses. By investigating their characteristics, we get the inspiration to form our two new models: Control Time Model (CTM) and Waiting Area Model(WAM). In these two new models, we introduced a way of conducting control of the departure time of the vehicles at the tollbooths. This kind of control is basically preventing the vehi- cles which are merging in the same lane from leaving the booths simultaneously, which may be a hidden danger for traffic accident or leads to a traffic jam. And we?ll continue to calculate the size and shape of the merging area according to our control