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两本相当有用的教科书：
《以微软试算表进行决策模组化》(Decision Modeling with Microsoft Excel)第六版，作者 Moore, Weatherford, Eppen, Gould 与 Schmidt, Prentice Hall.
《数学程式模组化语言：AMPL》(AMPL A Modeling Language For Mathematical Programming)，作者 Fourer, Gay, Kernighan, Boyd 与 Fraser.
都是针对这门课重要的教材及模型建构的工具。除了此之外，在上课的过程，我们也会提供额外的教材。
The texts Decision Modeling with Microsoft Excel, Sixth Edition, by Moore, Weatherford, Eppen, Gould and Schmidt, Prentice Hall and AMPL A Modeling Language For Mathematical Programming, by Fourer, Gay, Kernighan, Boyd & Fraser, are useful references both for the course material and the modeling tools we will rely on. We will provide additional material as the course progresses.
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课 |
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课程单元 |
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阅读资料 |
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1 |
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介绍
Introduction |
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第一章与第二章(a)
Chapters 1 & 2 of Moore et al. |
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2 |
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网络模型：指派与运输
Network Models: Assignment & Transportation |
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章节5.1-5.4 (a)
Sect. 5.1-5.4 of Moore et al. |
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3 |
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网络模型：最短路径与转运
Network Models: Shortest Path & Transshipment |
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章节5.10-5.14与5.6 (a)
Sect. 5.10-14 of Moore et al.
Sect. 5.6 of Moore et al.
第43-51页(b)
Pages 43-51 of Fourer et al.
浏览第一章到第八章与第十章(b)
Scan Chapters 1-8 and 10 of Fourer et al. |
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4 |
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线性规划介绍
Introduction to LP |
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第三章 (a)
Chapter 3 of Moore et al. |
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5 |
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应用：投资报酬最优化
Application: Revenue Optimization |
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第三章与第五章 (a)
Chapter 3 & 5 of Moore et al. |
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6 |
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产品规划与工作排程
Production Planning, Workforce Scheduling. |
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第五章 (a)
Chapter 5 of Moore et al. |
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7 |
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冲突式目标、稳健最优化
Conflicting Objectives, Robust Optimization. |
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8 |
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整数规划
Integer Programming |
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第六章 (a)
Chapter 6 of Moore et al.
第二十章 (b)
Chapter 20 of Fourer et al. |
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9 |
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整数规划模型建构
IP Modeling |
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第六章 (a)
Chapter 6 of Moore et al. |
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附加讲演1-9
Cover Lectures 1 - 9 |
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10 |
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案例讨论：福特汽车运送问题
Case Study: Ford Finished Vehicle Delivery |
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11 |
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选址模型
Location Models |
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12 |
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非线性规划
Non-Linear Programming |
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第七章 (a)
Chapter 7 of Moore et al.
第十八章 (b)
Chapter 18 of Fourer et al. |
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13 |
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组合最优化的应用
Application Portfolio Optimization |
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第七章 (a)
Chapter 7 of Moore et al. |
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14 |
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非线性规划
Non-Linear Programming |
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第七章 (a)
Chapter 7 of Moore et al. |
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15 |
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团队专案报告
Team Presentations |
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16 |
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启发式算法一
Heuristics I |
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17 |
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团队专案报告
Team Presentations |
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18 |
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启发式算法二
Heuristics II |
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19
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团队专案报告
Team Presentations |
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20 |
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最优化、启发式算法与不确定性
Optimization, Heuristics and Uncertainty |
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21 |
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团队专案报告
Team Presentations
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