2016美赛E题

E:我们的地球会受渴吗？

世界上的水会用完殆尽吗？根据联合国，1.6亿人民（世界人民的四分之一）正在经历水荒。在过去一个世纪，用水量的增长速度是人口增长速度的两倍。工业、农业、居民的日常都需要水的支持。目前有两种缺水的原因：物理性缺水和经济型缺水。物理性缺水指的是该地区没有充足的水来满足用水需求。经济型缺水指的是，该地区的水并未明显缺乏但是缺乏合理的管理和基础设施的建设限制了干净水的获取。许多科学家说缺水问题在气候变化和人口增加的条件下更加趋向恶化。用水一两杯与人口的速度增长这个事实提示我们还存在另外一个缺水的原因：它是否加快了工业消耗的速度、个人消耗的速度或者是加速了污染减少干净水源？

对所有人供给干净水源是否是可能的？干净水的供给必须把水的（物理性）可获取考虑在内（例如，自然水源、技术进步诸如淡化工厂、雨水收集技术）。理解水的供给是一个天然的跨学科问题。你不仅需要理解环境对水供给的限制，还要理解社会因素是如何影响干净水源的分布和获取的。比方说，差的卫生条件会限制水的供给，人口的增长会给地区水供给带来压力。当你在分析一个地区的缺水问题时，以下的问题是你必须考虑的。历史上人们是如何恶化或者缓解了这个问题？地理的、地质的、生态的原因是怎么影响

Team # 52766

Team Control Number

For office use only T1 ________________ T2 ________________ T3 ________________ T4 ________________

52766

Problem Chosen

For office use only F1 ________________ F2 ________________ F3 ________________ F4 ________________

E

2016MCM/ICM

Summary Sheet

In order to predict the water scarcity and optimize the configuration reasonably, we analyze the situation of water scarcity by establishing a mathematical model, and propose the feasible suggestions on optimization. All the work is based on the s

Team # 52766

Team Control Number

For office use only T1 ________________ T2 ________________ T3 ________________ T4 ________________

52766

Problem Chosen

For office use only F1 ________________ F2 ________________ F3 ________________ F4 ________________

E

2016MCM/ICM

Summary Sheet

In order to predict the water scarcity and optimize the configuration reasonably, we analyze the situation of water scarcity by establishing a mathematical model, and propose the feasible suggestions on optimization. All the work is based on the s

2016国赛题优秀论文 美

赛o奖论文

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2015年美赛B题的英文版论文

Where is the MH 370?

Abstract

Where is the crashed MH 370?

This is an issue of global concern. In this article, the search work for the crashed aircraft is divided into three stages:determining the fall area, select the search location, arrange rescue equipment.To solve problems, we have set up three mathematical models.

According to physics equations,we have established a differential equations model that can describe the crashed procedure of the aircraft.By combined maritime related cases,we have calculated the

2015年美赛A题优秀论文

TurningtheTables:ModelingtheFightagainstEbola

Team32722

Abstract

Wehaveconstructedamulti-layerstate-basedmodelthatappearstoholdpromiseforprovidinginsightintonotonlyhowtheEbolaoutbreakinWestAfricawillcontinuetode-velop,butalsothebestcourseofinterventionintheeventane ectivevaccineorcureshouldbecreated.Thismodelconsidersalargenumberofparametersthoughttobeimportanttoorcharacteristicoftheoutbreak,includingtheimpactoftheinfection’suniqueprogressioninhumans,transmissiontonewindividualsfrominfectedpersonsatdi erentstageso

Team Control Number

For office use only For office use only T1 ________________ F1 ________________ T2 ________________ F2 ________________ T3 ________________ F3 ________________

Problem Chosen T4 ________________ F4 ________________ 24270 B

2014 Mathematical Contest in Modeling (MCM) Summary Sheet

Summary

In order to estimate the excellence of different sports coaches and to give a ranking

Team Control Number

For office use only For office use only T1 ________________ F1 ________________ T2 ________________ F2 ________________ T3 ________________ F3 ________________

Problem Chosen T4 ________________ F4 ________________ 24270 B

2014 Mathematical Contest in Modeling (MCM) Summary Sheet

Summary

In order to estimate the excellence of different sports coaches and to give a ranking

数学建模竞赛(MCM / ICM)汇总表 基于细胞的高速公路交通模型 自动机和蒙特卡罗方法

总结

基于元胞自动机和蒙特卡罗方法,我们建立一个模型来讨论“靠右行”规则的影响。首先,我们打破汽车的运动过程和建立相应的子模型car-generation的流入模型,对于匀速行驶车辆，我们建立一个跟随模型,和超车模型。

然后我们设计规则来模拟车辆的运动模型。我们进一步讨论我们的模型规则适应靠右的情况和,不受限制的情况, 和交通情况由智能控制系统的情况。我们也设计一个道路的危险指数评价公式。

我们模拟双车道高速公路上交通(每个方向两个车道,一共四条车道),高速公路双向三车道（总共6车道)。通过计算机和 分析数据。我们记录的平均速度,超车取代率、道路密度和危险指数和通过与不受规则限制的比较评估靠右行的性能。我们利用不同的速度限制分析模型的敏感性和看到不同的限速的影响。左手交通也进行了讨论。

根据我们的分析,我们提出一个新规则结合两个现有的规则(靠右的规则和无限制的规则)的智能系统来实现更好的的性能。 1介绍

1.1术语 1.2假设 2模型

2.1设计的元胞自动机 2.2流入模型

2.3跟随模型 2.4超车

MCM 2015 Summary Sheet for Team 35565

Team Control Number

For office use only T1 ________________ T2 ________________ T3 ________________ T4 ________________

35565

Problem Chosen

For office use only

F1 ________________ F2 ________________ F3 ________________ F4 ________________

B

Summary

The lost MH370 urges us to build a universal search plan to assist searchers to locate the lost plane effi-ciently and optimize the arrangement of search plans.

For the location of the search area, we divided it into two stages, respective