內容簡介
截止到2013年,同濟大學在美國數學建模競賽中獲得BenFusaro獎及入圍獎1項,一等獎13項,二等獎25項,三等獎42項。本書正是精選了這些獲獎論文中具有代表性的論文,每篇論文都按照競賽論文的寫作要求包含了論文的摘要、問題重述、問題分析、模型假設、模型建立和求解、模型分析和檢驗、模型評價等內容,在論文前列出原題,編者還在論文後給出了簡要的點評,以供讀者參考。
同濟大學數學建模組主編的《美國數學建模競賽同濟大學優秀論文選評》可供參加美國數學建模競賽的學生學習和閱讀,對於從事數學建模課程教學及指導工作的老師也有一定的參考價值,也可供相關學科的技術人員參考。
圖書目錄
前言
部分 MCM 2013年B題
章 賽題:Water,Water,Everywhere
第二章 論文:Make Water Everywhere
§2.1 Problem Restatement
§2.2 Basic Assumptions
§2.3 Models and Methodology
§2.4 Model Sensitivity
§2.5 Strengths and Weakness
§2.6 Report
§2.7點評
第二部分 ICM 2013年
第三章 賽題:Network Modeling of Earth’s health
第四章 論文1:Global Network Model Based Oil Eco-dynamics
§4.1 Introduction
§4.2 Methodology
§4.3 Evaluation Method of Health Measure
§4.4 Assessment Indicators
§4.5 Strengths and Weakness
§4.6點評
第五章 論文2:A Double Layer Network Predicting the Future 0f WorId HeaIth
§5.1 Introduction
§5.2 Methodology
§5.3 The Model
§5.4 Sensitivity Analysis
§5.5 Strengths and Weaknesses
§5.6 Model Improvement
§5.7 Conclusions
§5.8點評
第六章 論文3:Diagnosing the world’S health
§6.1 Introduction
§6.2 Basic Assumptions
§6.3 Model Set—up
§6.4 Model Evaluation and Conclusions
§6.5點評
第三部分 MCM 2012年B題
第七章 賽題:Camping along the Big Long River
第八章 論文1:Optimal Rafting Schedule for River Manager
§8.1 Introduction
§8.2 Restatement of the Problem
§8.3 Problem Analysis
§8.4 Assumptions
§8.5 Model and Solution
§8.6 Evaluation of the Model
§8.7 Conclusions
§8.8 Memo
§8.9點評
第九章 論文2:Camping Model along the Big Long River
§9.1 Introduction
§9.2 Models
§9.3 Memo to the Managers
§9.4 To Managers of the River
§9.5點評
第十章 論文3:Camping along the Big Long River
§10.1 Introduction
§10.2 Assumptions
§10.3 Analysis and Solution of the Model
§10.4 Analysis of the Results
§l 0.5 Modd Evaluation
§10.6 Key Findings
§10.7點評
第十一章 論文4:Camping Model along the Big Long River
§11.1 Introduction
§11.2 Assumptions
§1 1.3 Detective Method
§11.4 Evaluation
§11.5 An optimal Schedule
§1 1.6 Strength and Weaknesses
§1 1.7 Introduction of“Detective Package”
§11.8點評
第四部分 MCM 2011年B題
第十二章 賽題:Repeater Coordination
第十三章 論文1:A Geometric and Probability Model on Repeater Coordination
§1 3.1 Introduction
§13.2 Basic Assumptions
§1 3.3 Problem Analysis and Solution to the First Question
§1 3.4 Solution to the Second Question
§13.5 Discussion of Mountainous Area
§13.6 Sumittarv
§13.7點評
第十四章 論文2:A Computational Geometry Model For Repeater Coordination
§1 4.1 Introduction
§1 4.2 Preliminarv Analvses
§1 4.3 Hypothesis and Symbol Description
§14.4 Models
§1 4.5 The Simulation of Population Distribution
§14.6 Strengths and Weaknesses
§14.7點評
第五部分 MCM 2010年B題
第十五章 賽題:Criminology
第十六章 論文1:A Decision Model for Serial Murders:Geographical Profiling with
Crime Locations Prediction
§16.1 Introduction
§16.2 Preliminary Analyses
§16.3 The Methodology Terminology
§16.4 Hypothesis and Symbol Description
§16.5 Crime Analyses and Model Development
§16.6 Case Analyses
§16.7 Summary and Future Work
§16.8 Executive Summary
§16.9點評
第十七章 論文2:A Likelihood Enhanced Centrographic Geographic Profiling Model in
Detecting Serial Criminals
§17.1 Introduction
§17.2 Assumptions,Terms and Notations
§17.3 Model Derivation
§17.4 Verification of the Model
§17.5 Conclusions
§17.6 Future Work
§17.7 Executive Summary
§17.8點評
第十八章 論文3:Two Steps to Target the Serial Criminal
§18.1 Introduction
§18.2 The Proposed Models for Generate the Geographical Profiling
§18.3 Models of Predicting the Next Crime Scenes
§18.4 Testing and Results
§18.5 Strengths and Weaknesses
§18.6 Future Work
§18.7 Executive Summary
§18.8點評