MCM/ICM數學建模競賽（第3卷）

圖書目錄

前輔文

1 Writing for Winning

Jie Wang

1.1 Paper Evaluations

1.2 Tell A Good Story

1.3 Tell the Story Well

1.4 Sensitivity Analysis Is a Must

1.5 Write Well

Exercises

References

2 A Hot Bath

Jay Belanger

2.1 Problem Description

2.2 Outstanding Winners

2.3 Previous Work

2.3.1 Classic formulas

2.3.2 Bathtub measurements

2.3.3 Previous work on water cooling

2.4 Approaching the Problem

2.5 Models

2.5.1 Assumptions and justifications

2.5.2 Functions and parameters

2.5.3 Determining the heat loss

2.5.4 Preserving heat

2.5.5 Heat dispersal

2.5.6 Answering the main question

2.5.7 Other questions

2.5.8 Results

2.6 Sensitivity Analysis

2.7 Strengths and Weaknesses

2.7.1 Strengths

2.7.2 Weaknesses

2.8 Comments

Exercises

References

3 Space Junk

Jay Belanger

3.1 Problem Description

3.2 Outstanding Winners

3.3 Previous Work

3.3.1 Kessler's work

3.3.2 Debris removal methods

3.3.3 Political obstacles

3.3.4 Business opportunities

3.4 Approaching the Problem

3.5 A Continuous Approach

3.5.1 How to approach the problem

3.5.2 Assumptions and justifications

3.5.3 Modeling details

3.5.4 Results

3.6 A Probabilistic Approach

3.6.1 How to approach the problem

3.6.2 Assumptions and justifications

3.6.3 Modeling details

3.6.4 Results

3.7 Sensitivity Analysis

3.8 Strengths and Weaknesses

3.8.1 Strengths

3.8.2 Weaknesses

3.9 Comments

Exercises

References

4 The Goodgrant Challenge

Robert E. Burks, Rodney X. Sturdivant

4.1 Problem Description

4.2 Outstanding Winners

4.3 Previous Work

4.3.1 Bill and Melinda Gates Foundation

4.3.2 Lumina Foundation

4.3.3 Principal component analysis

4.3.4 Analytic hierarchy process

4.4 Modeling Approach

4.4.1 Thinking about the problem

4.4.2 Assumptions

4.4.3 Data analytics

4.4.4 Selecting metrics of success

4.4.5 Return on investment

4.5 Modeling Approach

4.6 Sensitivity Analysis

4.7 Strengths and Weaknesses

4.7.1 Strengths

4.7.2 Weaknesses

4.8 Comments

Exercises

References

5 Measuring the Evolution and Influence in Society's Information Networks

Jessica Libertini, Ralucca Gera

5.1 Problem Description

5.2 Outstanding Winners

5.3 Approaching the Problem

5.4 Diffusion Networks

5.4.1 Basic assumptions and justification

5.4.2 Defining ``news''

5.4.3 Previous work

5.4.4 Results

5.4.5 Exploring the future of communication

5.4.6 Sensitivity analysis

5.4.7 Conclusions, strengths, weaknesses, and future work

5.5 Modeling Communication Using Disease Models

5.5.1 The information circulation network

5.5.2 The news filter model

5.5.3 Testing and using the NF model

5.5.4 The information circulation network prediction model

5.5.5 The public interest and information network interaction model

5.5.6 Sensitivity analysis

5.5.7 Strengths and weaknesses

5.6 Comments

Exercises

References

6 Are We Heading Towards A Thirsty Planet?

Amanda Beecher, Amy Richmond

6.1 Problem Description

6.2 Outstanding Winners

6.3 Previous Work

6.4 A Three-pronged Interdisciplinary Modeling Approach

6.4.1 Approach to the problem

6.4.2 Case study: the water problem in Haiti

6.4.3 Assumptions and justifications

6.4.4 System-network model

6.4.5 Algorithmic model

6.4.6 Agent-based network model

6.4.7 Intervention plan

6.4.8 Sensitivity analysis

6.4.9 Strengths and weaknesses

6.5 A Flow Model based on Time-Constrained Water Use

6.5.1 Model development

6.5.2 Case study: water scarcity in Egypt

6.5.3 Model adaption

6.5.4 Results

6.5.5 Intervention

6.6 Comments

Exercises

References

7 Modeling Refugee Immigration Policies

Evelyn Panangkou, Yulia Tyshchuck, Christian Nattiel, Don Stanley Dalisay, Kate Coronges

7.1 Current Refugee Problems

7.2 Problem Description

7.3 Outstanding Winners

7.4 How to Approach the Problem

7.5 Empirical Policy Research

7.6 Identify Parameters and Develop Metrics

7.7 Modeling Approaches to Policy Problem

7.7.1 Assumptions

7.7.2 Static modeling approach

7.7.3 Dynamical modeling approaches

7.8 Sensitivity Analysis

7.8.1 Scalability

7.8.2 Robustness

7.8.3 Uncertainty

7.9 Policy Recommendations

7.10 Strengths and Weaknesses

7.11 Judges' Comments by Task

Exercises

References

8 Complex Event and Pattern Models in Sequence Data Processing

Tingjian Ge, Yan Li, Cindy Chen

8.1 Introduction and Problem Description

8.1.1 Windowed subsequence matching

8.1.2 Extended regular expressions

8.1.3 Event patterns with graph structure

8.2 Formal Definition of Pattern Models

8.2.1 Windowed subsequence

8.2.2 Extended regular expressions

8.2.3 Event pattern with graph structure

8.3 Error Models

8.4 Matching Algorithms

8.4.1 Algorithms for windowed subsequence matching

8.4.2 Algorithms for extended regular expression matching

8.4.3 Algorithms for event pattern with graph structure

Exercises

References

Index

MCM/ICM數學建模競賽（第3卷）

基本介紹

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MCM/ICM數學建模競賽 （第3卷）

基本介紹

熱門詞條

MCM/ICM數學建模競賽（第3卷）