第一部分 MCM 2013年B题 3
第一章 赛题：Water,Water,Everywhere 3
第二章 论文：Make Water Everywhere 4
2.1 Problem Restatement 5
2.2 Basic Assumptions 5
2.3 Models and Methodology 6
2.4 Model Sensitivity 21
2.5 Strengths and Weakness 22
2.6 Report 23
2.7 点评 24
第二部分 ICM 2013年 27
第三章 赛题：Network Modeling of Earth's health 27
第四章 论文1:Global Network Model Based on Eco-dynamics 32
4.1 Introduction 33
4.2 Methodology 35
4.3 Evaluation Method of Health Measure 43
4.4 Assessment Indicators 45
4.5 Strengths and Weakness 47
4.6 点评 48
第五章 论文2:A Double Layer Network Predicting the Future of World Health 49
5.1 Introduction 50
5.2 Methodology 52
5.3 The Model 53
5.4 Sensitivity Analysis 64
5.5 Strengths and Weaknesses 65
5.6 Model Improvement 65
5.7 Conclusions 65
5.8 点评 66
第六章 论文3:Diagnosing the world's health 67
6.1 Introduction 67
6.2 Basic Assumptions 68
6.3 Model Set up 68
6.4 Model Evaluation and Conclusions 79
6.5 点评 80
第三部分 MCM 2012年B题 83
第七章 赛题：Camping along the Big Long River 83
第八章 论文1:Optimal Rafting Schedule for River Manager 85
8.1 Introduction 86
8.2 Restatement of the Problem 87
8.3 Problem Analysis 87
8.4 Assumptions 89
8.5 Model and Solution 89
8.6 Evaluation of the Model 99
8.7 Conclusions 100
8.8 Memo 101
8.9 点评 102
第九章 论文2:Camping Model along the Big Long River 103
9.1 Introduction 104
9.2 Models 105
9.3 Memo to the Managers 114
9.4 To Managers of the River 115
9.5 点评 115
第十章 论文3:Camping along the Big Long River 116
10.1 Introduction 117
10.2 Assumptions 117
10.3 Analysis and Solution of the Model 118
10.4 Analysis of the Results 126
10.5 Model Evaluation 128
10.6 Key Findings 129
10.7 点评 130
第十一章 论文4：Camping Model along the Big Long River 131
11.1 Introduction 132
11.2 Assumptions 132
11.3 Detective Method 133
11.4 Evaluation 136
11.5 An optimal Schedule 139
11.6 Strength and Weaknesses 140
11.7 Introduction of"Detective Package" 141
11.8 点评 142
第四部分 MCM 2011年B题 145
第十二章 赛题：Repeater Coordination 145
第十三章 论文1:A Geometric and Probability Model on Repeater Coordination 147
13.1 Introduction 148
13.2 Basic Assumptions 148
13.3 Problem Analysis and Solution to the First Question 149
13.4 Solution to the Second Question 156
13.5 Discussion of Mountainous Area 158
13.6 Summary 162
13.7 点评 163
第十四章 论文2:A Computational Geometry Model For Repeater Coordination 164
14.1 Introduction 165
14.2 Preliminary Analyses 165
14.3 Hypothesis and Symbol Description 166
14.4 Models 167
14.5 The Simulation of Population Distribution 175
14.6 Strengths and Weaknesses 176
14.7 点评 176
第五部分 MCM 2010年B题 181
第十五章 赛题：Criminology 181
第十六章 论文1:A Decision Model for Serial Murders:Geographical Profiling with Crime Locations Prediction 183
16.1 Introduction 184
16.2 Preliminary Analyses 184
16.3 The Methodology Terminology 185
16.4 Hypothesis and Symbol Description 185
16.5 Crime Analyses and Model Development 186
16.6 Case Analyses 191
16.7 Summary and Future Work 195
16.8 Executive Summary 195
16.9 点评 197
第十七章 论文2:A Likelihood Enhanced Centrographic Geographic Profiling Model in Detecting Serial Criminals 199
17.1 Introduction 200
17.2 Assumptions,Terms and Notations 202
17.3 Model Derivation 203
17.4 Verification of the Model 207
17.5 Conclusions 212
17.6 Future Work 213
17.7 Executive Summary 214
17.8 点评 215
第十八章 论文3：Two Steps to Target the Serial Criminal 216
18.1 Introduction 216
18.2 The Proposed Models for Generate the Geographical Profiling 217
18.3 Models of Predicting the Next Crime Scenes 220
18.4 Testing and Results 222
18.5 Strengths and Weaknesses 227
18.6 Future Work 227
18.7 Executive Summary 228
18.8 点评 229