For office use only
T1
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T2
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T3
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T4
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Team Control Number
00000
Problem Chosen
A
For office use only
F1
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F2
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F3
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F4
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2018 Mathematical Contest in Modeling (MCM) Summary Sheet
Title（此处应写论文标题）
Summary
美赛论文的摘要的英文一般用 Summary，摘要最好在本页完成。
标题为 16 号 Times New Roman 字体加粗并居中
摘要为 14 号 Times New Roman 字体加粗并居中
关键词为 12 号 Times New Roman 字体加粗并居左
行间距一般为 1 倍行距，为控制在一页可适当调整。
首页不需要页眉和页码。
“ 00000 ” 修 改 为 自 己 的 控 制 编 号 （ Team Control Number ） ， “ A ” 改 为 自 己 的 选 题 题 号
（A/B/C/D/E/F）
Key words: 三到五个关键词
注：红色字为解释说明部分，使用时应全部删除或换成黑色字。
Team # 00000 Page 2 of 18
Contents
I. Introduction ..............................................................................................................................................................4
1.1 Background................................................................................................................................4
1.2 Our works ..................................................................................................................................4
II. The Description of the Problem.............................................................................................................................5
2.1 Problem statement......................................................................................................................5
2.2 Analysis of Specific Issues ........................................................................................................5
2.2.1 Analysis of Problem 1.............................................................................................................5
2.2.2 Analysis of Problem 2.............................................................................................................5
2.2.3 Analysis of Problem 3.............................................................................................................5
2.2.4 Analysis of Problem 4.............................................................................................................6
III. Basic assumption ...................................................................................................................................................6
IV. Glossary & Symbols ..............................................................................................................................................6
4.1 Glossary .....................................................................................................................................6
4.2 Symbols .....................................................................................................................................7
V. Models ......................................................................................................................................................................7
5.1 Analysis and Solving of Question One......................................................................................7
5.1.1 Model Preparation ...........................................................................................................7
5.1.2 Model Establishment .......................................................................................................8
5.1.3 Results..............................................................................................................................8
5.1.4 Analysis of the Result......................................................................................................9
5.2 Analysis and Solving of Question Two .....................................................................................9
5.2.1 Model Preparation ...........................................................................................................9
5.2.2 Model Establishment .....................................................................................................10
5.2.3 Results............................................................................................................................10
5.2.4 Analysis of the Result....................................................................................................11
5.3 Analysis and Solving of Question Three .................................................................................11
5.3.1 Model Preparation .........................................................................................................11
5.3.2 Model Establishment .....................................................................................................12
5.3.3 Results............................................................................................................................13
5.3.4 Analysis of the Result....................................................................................................13
5.4 Analysis and Solving of Question Four...................................................................................13
5.4.1 Model Preparation .........................................................................................................13
5.4.2 Model Establishment .....................................................................................................14
5.4.3 Results............................................................................................................................15
5.4.4 Analysis of the Result....................................................................................................15
VI. Error Analysis and Sensitivity Analysis ............................................................................................................15
6.1 Error Analysis ..........................................................................................................................15
6.1.1 Error Analysis of Model One ........................................................................................15
6.1.2 Error Analysis of Model Two........................................................................................15
6.1.3 Error Analysis of Model Three......................................................................................16
6.2 Sensitivity Analysis .................................................................................................................16
6.2.1 Sensitivity Analysis of Model One................................................................................16
Team # 00000 Page 3 of 18
6.2.2 Sensitivity Analysis of Model Two ...............................................................................16
6.2.2 Sensitivity Analysis of Model Three .............................................................................16
VII. Evaluation and Promotion of Model ................................................................................................................16
7.1 Strength and Weakness............................................................................................................16
7.1.1 Strength..........................................................................................................................16
7.1.2 Weakness: ......................................................................................................................17
7.2 Promotion.................................................................................................................................17
Ⅷ. Conclusions ...........................................................................................................................................................17
8.1 Conclusions of the problem .....................................................................................................17
8.2 Methods used in our models ....................................................................................................17
I X. References............................................................................................................................................................18
X. Appendix ................................................................................................................................................................18
10.1 Appendix One ........................................................................................................................18
10.2 Appendix Two .......................................................................................................................18
从目录开始有页眉和页码，把“00000”改为自己的控制编号，页码会自动调整可以不用编辑。
Team # 00000 Page 4 of 18
I. Introduction
1.1 Background
在此开始正文，
正文的一级标题为 16 号 Times New Roman 字体加粗并居中
正文的二级标题为 14 号 Times New Roman 字体加粗并居左
正文的三级标题为 12 号 Times New Roman 字体加粗并居左
一般不设四级标题，若有的话请用（1）或 1）或①等代替为 11 号 Times New Roman 字体加粗并居左
正文部分为 11 号 Times New Roman 字体不加粗
英文文章的段落开头一般是居左并无缩进的，即段首顶格书写。
从目录开始有页眉和页码，把“00000”改为自己的控制编号，页码会自动调整可以不用编辑。
1.2 Our works
➢ Task 1
➢ Task 2
➢ Task 3
➢ Task 4
Team # 00000 Page 5 of 18
II. The Description of the Problem
2.1 Problem statement
Fig1. thinking research paper figure
2.2 Analysis of Specific Issues
2.2.1 Analysis of Problem 1
2.2.2 Analysis of Problem 2
2.2.3 Analysis of Problem 3
