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MCM/ICM数学建模竞赛 第3卷


作者:
Jay Belanger等
定价:
59.00 元
版面字数:
310千字
开本:
16开
装帧形式:
平装
版次:
1
最新版次
印刷时间:
2018年
ISBN:
978-7-04-049121-0
物料号:
49121-00
出版时间:
2018-01-26
读者对象:
学术著作
一级分类:
自然科学
二级分类:
数学与统计
三级分类:
通用

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  • 目录
    • 前辅文
      • 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

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