美国数学建模竞赛 经验分享 UNIV 杨杰 郑博方 刘瞳葳
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小组 小组成员:杨杰郑博方刘瞳葳 参与比赛:MCM2014 题目选择:B题 隶属学院:土木工程学院 最终奖项: Finalist Winner
小组简介 小组成员：杨杰 郑博方 刘瞳葳 参与比赛：MCM 2014 题目选择：B题 隶属学院：土木工程学院 最终奖项：Finalist Winner
主要内容 1竞赛前的准备:书,资料 2竞赛中:资料收集,题目探讨 3竞赛中:建立模型,灵敏度分析 4竞赛中:论文写作,避免抄袭 5竞赛末期:摘要写作,删减,格式调整 6竞赛结束:提交论文,等待结果
主要内容 1 竞赛前的准备：书，资料 2 竞赛中：资料收集，题目探讨 3 竞赛中：建立模型，灵敏度分析 4 竞赛中：论文写作，避免抄袭 5 竞赛末期：摘要写作，删减，格式调整 6 竞赛结束：提交论文，等待结果
PROBLEM B: College Coaching Legends Sports /lustrated, a magazine for sports enthusiasts is looking for the best all time college coach"male or female for the previous 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 horizon that you use in your analysis, i. e. does coaching in 19 13 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
• PROBLEM B: College Coaching Legends • Sports Illustrated, a magazine for sports enthusiasts, is looking for the “best all time college coach” male or female for the previous 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 horizon 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 model’s top 5 coaches in each of 3 different sports
Team Control Number For office use only 24270m For office use only T2 T3 Problem chosen F4 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 result two distinct models are developed. The first model is a comprehensive evaluation method And the second model is a ranking algorithm analogous to the Journal Influence algorithm. In the first model. we take into account a variety of metrics. and divide them into two categories: Objective Metrics and Subjective Metrics. In the Objective Metrics, we consider four factors, the number of wins, winning percentage. champions and final fours. All these factors have contributions to the excellence of a coach We deem that the total number of games in a year could affect the number of wins, and the unevenness of team quality could affect the winning percentage. By employing statistical regression method to proce collected data. we establish two functions of influence coefficient to eliminate the discrepancy caused by the two kinds of effect. In the Subjective Metrics: we consider two factors, media popularity and tenure. We employ Fussy Anahsis Method to quantify these two subjective factors. We further incorporate Analytic Hierarchy Process(AHP) and Gray basi, o - Analysis Grade Method(GRAP)to determine the weight allocation to different metrIc he final ranking gives a comprehensive result by weighing results returned by methods. Using data from Sports Reference and other websites. the rankings in all football and baseball accord with previous media commentaries In the second model we deem that the excellence of a certain coach can be reflected from the media impact over the snan of history and that the inte ns between two coaches ca
2014年获奖情况 4500 4000 3500 2014 MCM Statistics 3000 2500 6755 teams participated 12 high school teams(1%) 2000 ·391 US Teams(6 6364 Foreign Teams(94%) 1500 13 Outstanding Winners(1%) 1000 ·12 Finalist Winners(1% 656 Meritorious Winners(9%) 2168 Honorable Mentions(31%) 3891 Successful Participants(57% 15 Unsuccessful Participants (1%) 2014 oUtstanding Finalist Meritorious Honorable Successful Unsuccesfu
2014年获奖情况 2014 MCM Statistics • 6755 teams participated • 12 high school teams (1%) • 391 US Teams (6%) • 6364 Foreign Teams (94%) • 13 Outstanding Winners (1%) • 12 Finalist Winners (1%) • 656 Meritorious Winners (9%) • 2168 Honorable Mentions (31%) • 3891 Successful Participants (57%) • 15 Unsuccessful Participants (1%)
工欲善其事,必先利其器 建模软件 Matlab Mathematica ingo 2021/1/26
2021/1/26 工欲善其事，必先利其器 Matlab Mathematica lingo 建模软件
MATLAB是矩阵实验室( Matrix Laboratory)之意。除具备 崑越的数值让算能力外,它还提供了专业水平的符号计 算,文字处理,可视化建模仿真和实时控制等功能。 MATLAB的基本数据单位是矩阵,它的指令表达式与数学 工程中常用的形式十分相似故用 MATLAB来解算问题要比 用 C FORTRAN等简便许多。 Mathematica具有高阶的演算方法和丰富的数学函数库和 庞大的数学知识库,让 Mathematica5在线性代数方面的 数值运算,例如特征向量、反矩阵等,皆比 Matlab r13做 得更快更好,提供业界最精确的数值运算结果。 Mathematica不但可以做数值计算,还提供最优秀的可设 计的符号运算。 LINGO是使建立和求解线性、非线性和整数最佳化模型更 决更简单更有效率的综合工具。LNGO提供强大的语言和 快速的求解引擎来阐述和求解最佳化模型。LNGO可以将 线性、非线性和整数问题迅速得予以公式表示,并且容 易阅读、了解和修改。 2021/1/26
2021/1/26 • MATLAB是矩阵实验室（Matrix Laboratory）之意。除具备 卓越的数值计算能力外，它还提供了专业水平的符号计 算，文字处理，可视化建模仿真和实时控制等功能。 MATLAB的基本数据单位是矩阵，它的指令表达式与数学, 工程中常用的形式十分相似,故用MATLAB来解算问题要比 用C,FORTRAN等简便许多。 • Mathematica具有高阶的演算方法和丰富的数学函数库和 庞大的数学知识库，让 Mathematica 5 在线性代数方面的 数值运算，例如特征向量、反矩阵等，皆比Matlab R13做 得更快更好，提供业界最精确的数值运算结果。 Mathematica不但可以做数值计算，还提供最优秀的可设 计的符号运算。 • LINGO是使建立和求解线性、非线性和整数最佳化模型更 快更简单更有效率的综合工具。LINGO提供强大的语言和 快速的求解引擎来阐述和求解最佳化模型。LINGO可以将 线性、非线性和整数问题迅速得予以公式表示，并且容 易阅读、了解和修改
建议使用 Matlab 数值计算和符号计算 计算结果和编程可 视化 图象处理 2021/1/26
2021/1/26 数值计算和符号计算 建议使用Matlab 计算结果和编程可 视化 图象处理
上日当只机标 200D MALAB 到精青通 MATLAB 修订版 宝典 2021/1/26
2021/1/26