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1、仅供参考Teams (Student or Advisor) are now required to submit an electronic copy (summary sheet and solution) of their solution paper by email too as a Word or PDF attachment. Your email MUST be received at COMAP by the submission deadline of 8:00 PM EST, February 10, 2014. Note you will not receive an
2、auto response.Subject line COMAP your control number Example: COMAP 11111Click here to download a PDF of the complete contest instructions.Click here to download a copy of the Summary Sheet in Microsoft Word format.*Be sure to change the control number and problem select before printing out the page
3、.Teams are free to choose between MCM Problem A, MCM Problem B or ICM Problem C.COMAP Mirror Site: For more in: http:/ The Mathematical Contest in ModelingICM: The Interdisciplinary Contest in Modeling2014 Contest ProblemsMCM PROBLEMSPROBLEM A: The Keep-Right-Except-To-Pass RuleIn countries where dr
4、iving automobiles on the right is the rule (that is, USA, China and most other countries except for Great Britain, Australia, and some former British colonies), multi-lane freeways often employ a rule 名师资料总结 - - -精品资料欢迎下载 - - - - - - - - - - - - - - - - - - 名师精心整理 - - - - - - - 第 1 页，共 4 页 - - - - -
5、 - - - - that requires drivers to drive in the right-most lane unless they are passing another vehicle, in which case they move one lane to the left, pass, and return to their former travel lane.Build and analyze a mathematical model to analyze the performance of this rule in light and heavy traffic
6、. You may wish to examine tradeoffs between traffic flow and safety, the role of under- or over-posted speed limits (that is, speed limits that are too low or too high), and/or other factors that may not be explicitly called out in this problem statement. Is this rule effective in promoting better t
7、raffic flow? If not, suggest and analyze alternatives (to include possibly no rule of this kind at all) that might promote greater traffic flow, safety, and/or other factors that you deem important. In countries where driving automobiles on the left is the norm, argue whether or not your solution ca
8、n be carried over with a simple change of orientation, or would additional requirements be needed. Lastly, the rule as stated above relies upon human judgment for compliance. If vehicle transportation on the same roadway was fully under the control of an intelligent system either part of the road ne
9、twork or imbedded in the design of all vehicles using the roadway to what extent would this change the results of your earlier analysis? PROBLEM B: College Coaching LegendsSports Illustrated, a magazine for sports enthusiasts, is looking for the “best all time college coach” male or female for the p
10、revious century. Build a mathematical model to choose the best college coach or coaches (past or present) from among either male or female coaches in such sports as college hockey or field hockey, football, baseball or softball, basketball, or soccer. Does it make a difference which time line horizo
11、n that you use in your analysis, i.e., does coaching in 1913 differ from coaching in 2013? Clearly articulate your metrics for assessment. Discuss how your model can be applied in general across both genders and all possible sports. Present your models top 5 coaches in each of 3 different sports. In
12、 addition to the MCM format and requirements, prepare a 1-2 page article for Sports Illustrated that explains your results and includes a 名师资料总结 - - -精品资料欢迎下载 - - - - - - - - - - - - - - - - - - 名师精心整理 - - - - - - - 第 2 页，共 4 页 - - - - - - - - - non-technical explanation of your mathematical model t
13、hat sports fanswill understand. ICM PROBLEMPROBLEM C: Using Networks to Measure Influence and Impact Click the title below to download a PDF of the 2014 ICM Problem. Your ICM submission should consist of a 1 page Summary Sheet and your solution cannot exceed 20 pages for a maximum of 21 pages.Using
14、Networks to Measure Influence and Impact? 2014 COMAP, The Consort ium for Mathematics and Its Applications May be reproduced for academic/research purposes For More information on COMAP and this project visit http:/名师资料总结 - - -精品资料欢迎下载 - - - - - - - - - - - - - - - - - - 名师精心整理 - - - - - - - 第 3 页，共
15、 4 页 - - - - - - - - - 问题 - 答：保持 - 右键除对通规则在一些国家，汽车行驶在正确的规则（即美国，中国和其他大多数国家，除了英国，澳大利亚和一些前英国殖民地），多车道的高速公路经常使用，要求司机开车在规则最右边的车道， 除非它们被超车， 在这种情况下， 他们提出一个车道的左边，传球，并恢复到原来的行驶车道。建立和分析的数学模型来分析这一规则在轻型和重型交通的性能。你不妨检查交通流量和安全，不足或过度限速的作用（即，过低或过高的车速限制），和 /或可能不显式调用了其他因素之间的权衡在这个问题的陈述。这是规则，有效地促进了更好的流量？如果没有， 建议和分析替代品 （以有
16、可能包括没有规律这种的话） ，可能促进更多的交通流量，安全性，和/ 或您认为重要的其他因素。在一些国家， 汽车行驶在左边是常态， 认为您的解决方案是否能够结转与方向的一个简单的改变，或将需要额外的要求。最后，如上所述的规则依赖于人的判断为标准。如果在相同的道路运输车辆的完全是一个智能系统的控制下 - 无论是部分路网或嵌入使用道路的车辆的设计 - 在何种程度上这会改变你刚才分析的结果？问题 B：大学传奇教练体育画报，为运动爱好者杂志， 正在寻找“最好所有的时间的大学教练”男或女的上个世纪。 建立数学模型， 从男性或女性教练在这样的体育作为高校曲棍球或曲棍球，足球，棒球或垒球，篮球，足球或选择其中
17、最好的大学教练或教练（过去或现在）。它是否有所作为的时间线上的地平线，你在你的分析中使用，也就是说， 它在 1913年执教不同于教练在2013年？清楚地说明您的指标进行评估。讨论如何你的模型可以在一般的跨越男女和所有可能的运动应用。展示你的模型的前 5 名教练在每 3 个不同的运动。除了 MCM 的格式和要求， 准备体育画报一份1-2 页的文章，解释你的结果和包括您的体育迷都明白的数学模型的非技术性解释。ICM问题问题 C：使用网络来测量的影响和冲击点击下面的标题下载2014 年 ICM问题的 PDF 。您的 ICM的参赛作品必须包含一个1 页汇总表和您的解决方案不能超过20 页，最多 21 页。使用网络来测量的影响和冲击名师资料总结 - - -精品资料欢迎下载 - - - - - - - - - - - - - - - - - - 名师精心整理 - - - - - - - 第 4 页，共 4 页 - - - - - - - - -