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离散优化算法篇 Solving Algorithms for Discrete Optimization

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离散优化算法篇 Solving Algorithms for Discrete Optimization

Instructor: Prof. Jimmy Ho Man Lee

1,969 already enrolled

4 modules

Gain insight into a topic and learn the fundamentals.

Intermediate level

Some related experience required

3 weeks to complete

at 10 hours a week

Flexible schedule

Learn at your own pace

4 modules

Gain insight into a topic and learn the fundamentals.

Intermediate level

Some related experience required

3 weeks to complete

at 10 hours a week

Flexible schedule

Learn at your own pace

Skills you'll gain

Details to know

Taught in Chinese (Simplified)

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There are 4 modules in this course

优化是决策的一般形式，在我们的社会中很常见。它的应用包括从求解数独谜题到婚礼上的座次安排。同样的技术可以调度航班和机组成员，协调钢铁生产，组织铁矿从矿井到港口的运输。人力资源和材料管理上好的决策可以令企业提升上百万的盈利。同样的问题很多也在我们日常生活出现，成为决定每天送货路线，决定学校时间表，传输电力到家里等种种问题的一部分。除了它们的重要性，这些问题如果用传统的本科计算机科学方法难以求解。

这个模块开始时用例子说明约束编程求解器的基础技术，也就是约束传播和搜索。值域代表了变量可能的取值，而约束可用于在值域上进行推理。约束本身可以以值域传播器和边界传播器的形式表示。你将会学习到一个传播引擎如何处理一组传播器，并通过变量值域协调沟通约束传播得到的信息。你也将会学到基础搜索，变量，数值选择等概念，还有传播和搜索是如何紧密而高效地连接起来的。最后，这个模块介绍了如何在Minizinc中进行编程化搜索。

What's included

8 videos2 readings1 programming assignment

8 videosTotal 268 minutes

欢迎来到离散优化算法篇 (英文原声中文字幕)3 minutes
3.1.1 约束编程求解器27 minutes
3.1.2 值域+传播器47 minutes
3.1.3 边界传播器52 minutes
3.1.4 传播引擎55 minutes
3.1.5 搜索61 minutes
3.1.6: 单元1总结 (英文原声中文字幕)5 minutes
工作坊习题课9解答 (英文原声中文字幕)19 minutes

2 readingsTotal 20 minutes

课程原理与简介10 minutes
工作坊习题课9: 约束编程基础搜索策略10 minutes

1 programming assignmentTotal 180 minutes

寿辰阅兵180 minutes

在这个模块中，你将会看到如何用分支限界搜索求解优化问题，和搜索策略在这些情况下如何变得更为重要。你将会了解到高阶的搜索策略，包括重启搜索和基于影响（impact-based）的搜索。这个模块也会解释如alldifferent和cumulative全局约束的内部实现。

What's included

6 videos1 reading1 programming assignment

6 videosTotal 217 minutes

3.2.1 约束编程的优化问题55 minutes
3.2.2 重启式搜索和高级搜索52 minutes
3.2.3 Alldifferent内部实现34 minutes
3.2.4 Cumulative内部实现39 minutes
3.2.6 单元2总结 (英文原声中文字幕)7 minutes
工作坊习题课10解答 (英文原声中文字幕)31 minutes

1 readingTotal 10 minutes

工作坊习题课10: 约束编程高阶搜索策略10 minutes

1 programming assignmentTotal 180 minutes

寿宴准备180 minutes

这个模块从介绍线性规划和用于解决连续线性规划优化问题的Simplex算法开始，之后展示了这个方法如何可以和分支限界法配合来解决混合整数线性规划问题。之后再进一步学习Gomory切割和分支切割法并领略它们如何提高求解速度。

What's included

5 videos1 reading1 programming assignment

5 videosTotal 166 minutes

3.3.1 线性规划59 minutes
3.3.2 混合整数线性规划43 minutes
3.3.3 切割平面33 minutes
3.3.5 单元3总结 (英文原声中文字幕)5 minutes
工作坊习题课11解答 (英文原声中文字幕)27 minutes

1 readingTotal 10 minutes

工作坊习题课11: 混合整数线性规划建模10 minutes

1 programming assignmentTotal 180 minutes

厨房值班180 minutes

这个模块带你进入局部搜索的神奇领域，它可以高效地探索一些大而复杂的搜索空间。你将会学到状态，移动和邻域的概念，还有它们在受约束的搜索空间中如何被应用在基本贪心搜索和最速梯度下降搜索中。你还将学习不同的方法来逃离或者避免局部最小值，包括重启，模拟退火，禁忌表和离散拉格朗日乘数法。最后，你将会看到大邻域搜索把在邻域中找到最优相邻点看作一个离散优化问题来解决，并因此使我们探索更远和更有效地搜索。

What's included

9 videos1 reading1 programming assignment

9 videosTotal 265 minutes

3.4.1 局部搜索41 minutes
3.4.2 约束和局部搜索32 minutes
3.4.3 逃离局部最小点-重启20 minutes
3.4.4 模拟退火20 minutes
3.4.5 禁忌表23 minutes
3.4.6 离散拉格朗日乘数法44 minutes
3.4.7 大邻域搜索46 minutes
3.4.8 单元4总结 (英文原声中文字幕)8 minutes
工作坊习题课12解答 (英文原声中文字幕)30 minutes

1 readingTotal 10 minutes

工作坊习题课12: 局部搜索10 minutes

1 programming assignmentTotal 180 minutes

安置难民180 minutes

Instructor

Prof. Jimmy Ho Man Lee

The Chinese University of Hong Kong

6 Courses45,647 learners

Offered by

The Chinese University of Hong Kong

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