2019美赛数学建模题目

2014年数学建模美赛题目原文及翻译

作者：Ternence Zhang

转载注明出处：/zhangtengyuan23

MCM原题PDF：/detail/zhangty0223/6901271

PROBLEM A: The Keep-Right-Except-To-Pass Rule

In countries where driving 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 employa rule 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. 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

2019美赛数学建模题目

摘要：

1.2019 美赛数学建模题目概述

2.题目分类与解析

3.题目难度与挑战

4.中国高校表现与启示

正文：

【2019 美赛数学建模题目概述】

美国大学生数学建模竞赛（MCM/ICM）是全球范围内最具影响力的数学建模竞赛，每年有来自世界各地的数千所高校参赛。2019 年美赛数学建模题目共有 6 道题目，涵盖了多个领域，旨在考验参赛选手的数学应用、分析与解决问题的能力。

【题目分类与解析】

2019 年美赛数学建模题目分为 A、B、C、D、E、F 六道题目，具体分类如下：

A 题：疾病传播的动力学模型

B 题：飞机设计的优化问题

C 题：城市交通网络的优化设计

D 题：环境污染物在河流中的传播与治理

E 题：无人机编队的路径规划问题

F 题：社交网络的社区检测问题 每道题目都具有一定的挑战性，要求参赛选手对相关领域的知识有深入了解，并具备较强的数学建模能力。

【题目难度与挑战】

2019 年美赛数学建模题目难度适中，但涉及的领域较广，对参赛选手提出了较高的要求。在解题过程中，选手需要充分运用自己所学的专业知识，对题目进行深入分析，找到问题的关键所在，并提出创新性的解决方案。因此，参赛选手在比赛中面临的挑战主要来自于对题目的理解和解决问题的能力。

【中国高校表现与启示】

在 2019 年美赛数学建模竞赛中，中国高校表现优异，获得了多个奖项。这得益于我国高校对数学建模教育的重视，以及学生在老师的指导下，通过参加训练、模拟赛等形式，提高了自己的数学建模能力。

对于今后参赛的高校和学生，可以从以下几个方面进行准备：

1.提高专业素养，熟练掌握相关领域的知识；

2.加强数学建模培训，提高解决实际问题的能力；

3.注重团队合作，发挥团队成员的优势，共同完成题目。

数学建模 美赛 参考文献

Since 1982, the official publication of the teaching of mathematical modeling

contest, translations and guidance materials, and related with the mathematical

modeling of mathematics experiment teaching material ( only according to

statistics all told ):

E. A. Bender, an introduction to mathematical model, Zhu Yaochen, Xu

Weixuan translation, popular science press, 1982

Kondo Jiro, Miya Eiaki, et al, mathematical model, mechanical industry press,

1985

C. L. Daimler, E. S. Ai Wei, mathematical modeling principle, Ocean Press,

1985

Jiang Qiyuan, mathematical model, higher education press, 1987

Ren Shanqiang, mathematical model, Chongqing University press, 1987

M. Braun, C. S. Coleman, D. A. Drew, the differential equation model, Zhu

Yumin, Zhou yu-hun translation, National University of Defense Technology

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2017 MCM/ICM Summary Sheet

The Rehabilitation of the Kariba Dam

Recently, the Institute of Risk Management of South Africa has just warned that

the Kariba dam is in desperate need of rehabilitation, otherwise the whole dam would

collapse, putting 3.5 million people at risk. Aimed to look for the best strategy with the

three options listed to maintain the dam, we employ AHP model to filter factors and

determine two most influential criteria, including potential costs and benefits. With the

weight of each criterion worked out, our model demonstrates that option 3 is the