美赛论文优秀模版

For office use only T1 ________________ T2 ________________ T3 ________________ T4 ________________ Team Control Number

11111

Problem Chosen

ABCD

For office use only

F1 ________________

F2 ________________

F3 ________________

F4 ________________ 2015

Mathematical Contest in Modeling (MCM/ICM) Summary Sheet In order to evaluate the performance of a coach, we describe metrics in five aspects:historical record, game gold content, playoff performance, honors and contribution to the sports. Moreover, each aspect is subdivided into several secondary metrics. Take playoff performance as example, we collect postseason result (Sweet Sixteen, Final Four, etc.) per year from NCAA official website, Wikimedia and so on.

First, ****grade.

To eval*** , in turn, are John Wooden, Mike Krzyzewski, Adolph Rupp, Dean Smith and Bob Knight.

Time line horizon does make a difference. According to turning points in NCAA history, we divide the previous century into six periods with different time weights which lead to the change of ranking.

We conduct sensitivity analysis on FSE to find best membership function and calculation rule. Sensitivity analysis on aggregation weight is also performed. It proves AM performs better than single model. As a creative use, top 3 presidents(U.S.) are picked out: Abraham Lincoln, George Washington, Franklin D. Roosevelt.

At last, the strength and weakness of our mode are discussed, non-technical explanation is presented and the future work is pointed as well.

Key words: Ebola virus disease; Epidemiology; West Africa; ******

Contents

I. Introduction (2)

1.1 (2)

1.2 (2)

1.3 (2)

1.4 (2)

1.5 (2)

1.6 (2)

II. The Description of the Problem (2)

2.1 How do we approximate the whole course of paying toll? (2)

2.2 How do we define the optimal configuration? (2)

2.3 The local optimization and the overall optimization (3)

2.4 The differences in weights and sizes of vehicles (3)

2.5 What if there is no data available? (3)

III. Models (3)

3.1 Basic Model (3)

3.1.1 Terms, Definitions and Symbols (3)

3.1.2 Assumptions (3)

3.1.3 The Foundation of Model (4)

3.1.4 Solution and Result (4)

3.1.5 Analysis of the Result (4)

3.1.6 Strength and Weakness (4)

3.2 Improved Model (4)

3.2.1 Extra Symbols (5)

3.2.2 Additional Assumptions (5)

3.2.3 The Foundation of Model (5)

3.2.4 Solution and Result (5)

3.2.5 Analysis of the Result (6)

3.2.6 Strength and Weakness (6)

IV. Conclusions (6)

4.1 Conclusions of the problem (6)

4.2 Methods used in our models (6)

4.3 Applications of our models (6)

V. Future Work (6)

5.1 Another model (6)

5.1.1 The limitations of queuing theory (6)

5.1.2 (7)

5.1.3 (7)

5.1.4 (7)

5.2 Another layout of toll plaza (7)

5.3 The newly- adopted charging methods (7)

VI. References (8)

VII. Appendix (8)