mcm2017C Cooperate and Navigate 合作和导航 美国数学建模 - matlab数学建模 - 谷速源码
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标题：mcm2017C Cooperate and Navigate 合作和导航 美国数学建模
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所属分类: 数学建模 资源类型：文档 文件大小: 692.03 KB 上传时间: 2019-08-18 18:41:16 下载次数: 84 资源积分：1分 提 供 者: jiqiren 20190818064221655
内容：
(MCM 2017C) 
 
Traffic capacity is limited in many regions of the United States due to the number of lanes of roads. For example, in the Greater Seattle area drivers experience long delays during peak traffic hours because the volume of traffic exceeds the designed capacity of the road networks. This is particularly pronounced on Interstates 5, 90, and 405, as well as State Route 520, the roads of particular interest for this problem. 
 
Self-driving, cooperating cars have been proposed as a solution to increase capacity of highways without increasing number of lanes or roads. The behavior of these cars interacting with the existing traffic flow and each other is not well understood at this point. 
 
The Governor of the state of Washington has asked for analysis of the effects of allowing self-driving, cooperating cars on the roads listed above in Thurston, Pierce, King, and Snohomish counties. (See the provided map and Excel spreadsheet). In particular, how do the effects change as the percentage of self-driving cars increases from 10% to 50% to 90%? Do equilibria exist? Is there a tipping point where performance changes markedly? Under what conditions, if any, should lanes be dedicated to these cars? Does your analysis of your model suggest any other policy changes? 
 
Your answer should include a model of the effects on traffic flow of the number of lanes, peak and/or average traffic volume, and percentage of vehicles using self-driving, cooperating systems. Your model should address cooperation between self-driving cars as well as the interaction between self-driving and non-self-driving vehicles. Your model should then be applied to the data for the roads of interest, provided in the attached Excel spreadsheet. 
 
Your MCM submission should consist of a 1 page Summary Sheet, a 1-2 page letter to the appendix and references do not count toward the 23 page limit. 
 
Some useful background information: 
 
On average, 8% of the daily traffic volume occurs during peak travel hours. 
The nominal speed limit for all these roads is 60 miles per hour. 
Mileposts are numbered from south to north, and west to east. 
Lane widths are the standard 12 feet. 
Highway 90 is classified as a state route until it intersects Interstate 5. 
In case of any conflict between the data provided in this problem and any other source, use the data provided in this problem. 
Definitions: 
 
milepost: A marker on the road that measures distance in miles from either the start of the route or a state boundary. average daily traffic: The average number of cars per day driving on the road. 
interstate: A limited access highway, part of a national system. 
state route: A state highway that may or may not be limited access. 
route ID: The number of the highway. 
increasing direction: Northbound for N-S roads, Eastbound for E-W roads. 
decreasing direction: Southbound for N-S roads, Westbound for E-W roads. 
合作和导航(美国竞赛2017年C题) 
 
美国许多地区由于道路的数量限制，交通容量有限。例如，在大西雅图地区，由于交通量超过道路网络的设计容量，司机在交通高峰时段经历长时间的延误。这在5号，90号和405号州际公路以及520号国道在这个问题上显得尤为明显。 
 
自动驾驶车己经作为增加公路能力而不用拓宽车道的方案提出，但是在这一点上，人们并未很好的理解自动驾驶车与现有交通工具的关系。 
 
华盛顿州州长要求就自动驾驶车对于Thurston, Pierce和Snohomish等地交通的影响。(详情请参见提供的地图和Excel表格)。重点是当这种自动驾驶车的数量占比从10%增加到50%后，效果会有什么变化?到90%呢?其中是否存在均衡点?是否有明显的变化临界点?假设条件满足，是否应该为这些车设立专用车道?你的模型分析是否提出了改善政策的建议? 
 
你需要构建一个模型，包括对车道流量，峰值、（和/或）平均交通量，以及自动驾驶车所占的比例 的协作系统。你的模型分析应该含有对自动驾驶车和非自动驾驶车之间的关系分析。你的模型分析应该满足附件中Excel提供的指定道路数据。 
 
你的MCM文件应该包括:1页摘要表，1-2页的州长回信，以及你的解决方案(不超过20页)，整份文件最多23页，注:附录和参考文献不计入23页的限制当中。 
 
一些有用的背景信息： 
 
平均而言，每日交通量的8％发生在高峰旅行时间。 
所有这些道路的名义速度限制为每小时60英里。 
里程数从南到北，从西到东。 
车道宽度是标准的12英尺。 
高速公路90被分类为状态路线，直到它与州际5相交。 
如果此问题中提供的数据与任何其他来源之间存在冲突，请使用这个问题提供的数据。 
 
定义：
 
milepost：在路上测量距离，从路线的起点或a 状态边界。 
平均每日交通量：在道路上行驶的平均每天的汽车数量。 
州际公路：作为国家系统的一部分的有限进出高速公路。 
国家路线：可能受限或不受限制的国家公路。 
路由ID：高速公路的编号。 
增加方向：N-S道北行，E-W道东行。 
下降方向：N-S道南行，E-W道西行。 

文件列表（点击上边下载按钮，如果是垃圾文件请在下面评价差评或者投诉）:

mcm2017C Cooperate and Navigate 合作和导航 .pdf

关键词： mcm2017C Cooperate and Navigate 合作和导航 美国数学建模

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