优化问题是一种常见的决策问题，它在我们的社会中很常见。它的应用可以从数独问题的解决涵盖到婚礼的座次安排。同样的技术可以用于航班与机组成员的安排，钢铁生产的调节，和钢铁从矿区到港口的调度问题。在生产中，人力资源与生产材料的合理决策可以使企业获得成千上万的利润提升。类似的问题也存在于我们的日常生活中，它们包括决定包裹的运输路径，调整学校课程时间，和传输能源到千家万户。尽管这些问题很基础，不过以一般本科教育的知识来解决这些问题都会十分困难。
离散优化建模高阶篇 Advanced Modeling for Discrete Optimization
Give your career the gift of Coursera Plus with $160 off, billed annually. Save today.
离散优化建模高阶篇 Advanced Modeling for Discrete Optimization
Instructors: Prof. Jimmy Ho Man Lee
Top Instructor
1,655 already enrolled
Included with 
Gain insight into a topic and learn the fundamentals.
Intermediate level
Some related experience required
47 hours to complete
3 weeks at 15 hours a week
Flexible schedule
Learn at your own pace
Details to know
Shareable certificate
Add to your LinkedIn profile
Taught in Chinese (Simplified)
See how employees at top companies are mastering in-demand skills
Earn a career certificate
Add this credential to your LinkedIn profile, resume, or CV
Share it on social media and in your performance review
There are 5 modules in this course
跟计算机程序一样，模型也会有错误。在这一单元中，你将会看到许多不同错误的症状（如不能满足，太多解，太少解），而且学到不同的方法来发现你的模型的问题在哪里，你可以如何去修复它们。有了这些技能，你就可以开发和调试复杂的模型。这个单元的学习目标是：1.改正不正确的Minizinc模型; 2. 运用调试技巧来查明模型里面的错误; 3. 解释在关系语义下的一些为定义的表达式; 4. 修改一个正确的MiniZinc模型从而让它变得更有效率。
What's included
10 videos4 readings1 programming assignment
在这个模块中你将会学习到如何把一个复杂的约束定义封装到一个谓词里面，从而可以重复使用它。这可以让你建立越来越复杂的模型的同时，通过模块化的方式提升它的可读性。你将会第一次碰到多目标函数的问题，和学习如何压缩他们到一个目标函数里。除此以外，你还会学到如何对于安排宴会座次问题进行建模，这会在日常生活的许多场景中帮到你。你的学习目标有：1. 建立一个模型利用谓词和局部变量来让重要的约束抽象化; 2. 对于在MiniZinc模型中的不同的表达式进行分类。
What's included
6 videos1 reading1 programming assignment
学习如何着手各种复杂的项目调度问题，从只有简单的次序要求的问题到有单一资源甚至累积资源的问题。你将会在这些应用中看到如何对于一些复杂的约束进行建模。这个单元的学习目标有: 1. 建立复杂的调度问题的模型; 2. 发现调度问题的子结构，如问题中分离调度和累积调度。
What's included
7 videos1 reading1 programming assignment
在这个单元中，你可以学习到打包问题的一些重要应用，从正方形打包到直边形打包（考虑或不考虑旋转）。同样地，你将会看到在这些应用中如何对一些复杂的约束进行建模。你的学习目标有：1. 建立一个复杂的打包模型; 2. 通过全局约束（如diffn和geost）来描述打包问题。
What's included
3 videos
在最后的单元中，我们将会探讨在离散优化问题中不同类型的对称。你将会学到如何用不同的方法和特殊的约束来打破这种对称性从而提升解决的效率。你也将会学到支配的概念，一种更广义上的对称，还有打破支配的技巧。你的学习目标有：1. 在问题的陈述中发现对称性; 2. 通过增加适当的打破对称性的约束来更改具有对称性的MiniZinc的模型; 3. 总结模型中存在的不同类型的对称; 4. 通过发现支配来提升模型。
What's included
6 videos3 readings1 programming assignment
Instructors
Recommended if you're interested in Software Development
Peking University
University of Minnesota
National Taiwan University
National Taiwan University
Why people choose Coursera for their career
Felipe M.
Learner since 2018
"To be able to take courses at my own pace and rhythm has been an amazing experience. I can learn whenever it fits my schedule and mood."
Jennifer J.
Learner since 2020
"I directly applied the concepts and skills I learned from my courses to an exciting new project at work."
Larry W.
Learner since 2021
"When I need courses on topics that my university doesn't offer, Coursera is one of the best places to go."
Chaitanya A.
"Learning isn't just about being better at your job: it's so much more than that. Coursera allows me to learn without limits."
New to Software Development? Start here.
Open new doors with Coursera Plus
Unlimited access to 7,000+ world-class courses, hands-on projects, and job-ready certificate programs - all included in your subscription
Advance your career with an online degree
Earn a degree from world-class universities - 100% online
Join over 3,400 global companies that choose Coursera for Business
Upskill your employees to excel in the digital economy
Frequently asked questions
Access to lectures and assignments depends on your type of enrollment. If you take a course in audit mode, you will be able to see most course materials for free. To access graded assignments and to earn a Certificate, you will need to purchase the Certificate experience, during or after your audit. If you don't see the audit option:
The course may not offer an audit option. You can try a Free Trial instead, or apply for Financial Aid.
The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.
When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.
You will be eligible for a full refund until two weeks after your payment date, or (for courses that have just launched) until two weeks after the first session of the course begins, whichever is later. You cannot receive a refund once you’ve earned a Course Certificate, even if you complete the course within the two-week refund period. See our full refund policy.