We may earn an affiliate commission when you visit our partners.

离散优化建模高阶篇 Advanced Modeling for Discrete Optimization

Prof. Peter James Stuckey and Prof. Jimmy Ho Man Lee

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。

这个课程是设计给已完成离散优化建模基础篇的同学。你将学习到更多关于如何使用先进的高级建模语言表述清楚具有挑战性的离散优化问题，并让约束求解器完成其余工作。本课程将重点介绍模型调试与改良，如何把一个复杂的约束定义封装到一个谓词里面，及如何着手各种复杂的项目调度和打包问题。当你掌握这种先进的技术，你将能够解决以前难以想象的问题。

Enroll now

Or subscribe to Coursera Plus

And get unlimited access to Coursera

Two deals to help you save

Save money when you learn. Here are two deals and offers that may be relevant to this course.

All coupon codes, vouchers, and discounts are applied automatically unless otherwise noted.

Valid until July 14

Coursera Plus Annual

Work toward what's next for your career with access to 10,000+ programs. Discover emerging skills and save.

Valid until August 30

Google AI App Builder

Learn how to use Gemini API and API Studio with a three-course series from Google DeepMind

What's inside

Syllabus

调试与改良模型

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。

Traffic lights

Read about what's good

what should give you pause

and possible dealbreakers

Builds a strong foundation for beginners who want to explore optimization techniques

Taught by professors who are recognized for their work in constraint optimization

Covers advanced techniques for modeling and solving challenging optimization problems

Develops skills that are highly relevant in academic research and industrial applications

Facilitates efficient and accurate modeling of complex optimization problems

Requires prior knowledge in discrete optimization modeling

Save this course

Create your own learning path. Save this course to your list so you can find it easily later.

Save

Reviews summary

离散优化高阶建模实用技能

根据学生反馈，这门离散优化建模高阶课程内容扎实且深度足够，对于已掌握基础的学员非常有价值。课程重点在于高级建模语言MiniZinc的应用，特别是模型调试、谓词封装以及处理复杂的调度和打包问题。学生普遍认为，课程中的编程作业是掌握知识的关键环节，尽管挑战性较大。成功学习此课程需要扎实的离散优化基础。总体而言，课程评价普遍积极，但部分学生因其高难度表示需要投入大量时间和精力。

强大的离散优化建模工具。

"MiniZinc功能强大，虽然上手要适应一下，但学会了效率很高。"

"这个工具让复杂模型的构建和测试变得可能。"

"我很喜欢MiniZinc的可视化调试功能。"

讲师讲解清晰，有条理。

"老师讲课思路清晰，能把复杂概念讲透彻。"

"课程结构设计得逻辑严密，跟着学不迷茫。"

"讲师对MiniZinc的演示非常详细，易于理解。"

编程作业是巩固知识的有效途径。

"作业很难，但每一次攻克难题都让我非常有成就感。"

"如果没有认真完成作业，我觉得很难真正掌握这些概念。"

"对我来说，动手写代码是理解理论的最佳方式。"

学习并掌握MiniZinc高级建模方法。

"调试模型那单元非常实用，让我能更快地找到模型错误。"

"通过谓词来抽象约束，让我的代码结构更清晰，太棒了。"

"调度和打包问题的建模方法在实际工作中很有用。"

要求有扎实的离散优化基础。

"这门课确实是高阶的，如果没有扎实的基础，学起来会非常吃力。"

"课程难度超出我的预期，需要投入大量时间去消化和练习。"

"我认为这门课更适合有一定建模经验或学过基础篇的同学。"

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in 离散优化建模高阶篇 Advanced Modeling for Discrete Optimization with these activities:

使用 MiniZinc 求解器

Show steps

通过使用教程来熟悉 MiniZinc 求解器将使你能够更有效地解决优化问题。

Browse courses on MiniZinc

Show steps

查找关于 MiniZinc 求解器的教程
按照教程学习如何使用求解器
尝试使用求解器解决一些示例问题

调试 MiniZinc 模型

Show steps

通过定期练习解决调试问题，你可以提高识别和解决你模型中的错误的能力。

Browse courses on MiniZinc

Show steps

在你的 MiniZinc 模型中引入错误
尝试解决错误，直到你的模型可以正确运行

Show all two activities

Career center

Learners who complete 离散优化建模高阶篇 Advanced Modeling for Discrete Optimization will develop knowledge and skills that may be useful to these careers:

Operations Research Analyst

Operations Research Analysts use advanced analytical techniques to help organizations make better decisions. They may work in a variety of industries, including manufacturing, healthcare, finance, and transportation. This course can help Operations Research Analysts develop the skills they need to succeed in their careers. It will provide them with a strong foundation in the theory and practice of discrete optimization, as well as the skills they need to use optimization software to solve real-world problems.

See salaries and explore the career path for Operations Research Analyst

Management Consultant

Management Consultants help organizations improve their performance. They may work in a variety of areas, including strategy, operations, and technology. This course can help Management Consultants develop the skills they need to succeed in their careers. It will provide them with a strong foundation in the theory and practice of discrete optimization, as well as the skills they need to use optimization software to solve real-world problems.

See salaries and explore the career path for Management Consultant

Data Scientist

Data Scientists use data to solve problems and make better decisions. They may work in a variety of industries, including healthcare, finance, and retail. This course can help Data Scientists develop the skills they need to succeed in their careers. It will provide them with a strong foundation in the theory and practice of discrete optimization, as well as the skills they need to use optimization software to solve real-world problems.

See salaries and explore the career path for Data Scientist

Software Engineer

Software Engineers design, develop, and maintain software applications. They may work in a variety of industries, including technology, finance, and healthcare. This course can help Software Engineers develop the skills they need to succeed in their careers. It will provide them with a strong foundation in the theory and practice of discrete optimization, as well as the skills they need to use optimization software to solve real-world problems.

See salaries and explore the career path for Software Engineer

Quantitative Analyst

Quantitative Analysts use mathematical and statistical methods to analyze financial data. They may work in a variety of industries, including investment banking, hedge funds, and asset management. This course can help Quantitative Analysts develop the skills they need to succeed in their careers. It will provide them with a strong foundation in the theory and practice of discrete optimization, as well as the skills they need to use optimization software to solve real-world problems.

See salaries and explore the career path for Quantitative Analyst

Business Analyst

Business Analysts help organizations improve their performance by analyzing their business processes and identifying areas for improvement. They may work in a variety of industries, including healthcare, finance, and manufacturing. This course can help Business Analysts develop the skills they need to succeed in their careers. It will provide them with a strong foundation in the theory and practice of discrete optimization, as well as the skills they need to use optimization software to solve real-world problems.

See salaries and explore the career path for Business Analyst

Industrial Engineer

Industrial Engineers design, improve, and install integrated systems for managing industrial production and operations. They may work in a variety of industries, including manufacturing, healthcare, and transportation. This course can help Industrial Engineers develop the skills they need to succeed in their careers. It will provide them with a strong foundation in the theory and practice of discrete optimization, as well as the skills they need to use optimization software to solve real-world problems.

See salaries and explore the career path for Industrial Engineer

Systems Analyst

Systems Analysts design, develop, and implement computer systems. They may work in a variety of industries, including technology, finance, and healthcare. This course can help Systems Analysts develop the skills they need to succeed in their careers. It will provide them with a strong foundation in the theory and practice of discrete optimization, as well as the skills they need to use optimization software to solve real-world problems.

See salaries and explore the career path for Systems Analyst

Financial Analyst

Financial Analysts analyze financial data to make investment recommendations. They may work in a variety of industries, including investment banking, hedge funds, and asset management. This course may be useful for Financial Analysts who want to develop a stronger foundation in discrete optimization. It will provide them with the skills they need to use optimization software to solve real-world problems.

See salaries and explore the career path for Financial Analyst

Actuary

Actuaries use mathematical and statistical methods to assess risk and uncertainty. They may work in a variety of industries, including insurance, healthcare, and finance. This course may be useful for Actuaries who want to develop a stronger foundation in discrete optimization. It will provide them with the skills they need to use optimization software to solve real-world problems.

See salaries and explore the career path for Actuary

Statistician

Statisticians collect, analyze, and interpret data. They may work in a variety of industries, including healthcare, finance, and marketing. This course may be useful for Statisticians who want to develop a stronger foundation in discrete optimization. It will provide them with the skills they need to use optimization software to solve real-world problems.

See salaries and explore the career path for Statistician

Economist

Economists study the production, distribution, and consumption of goods and services. They may work in a variety of industries, including government, academia, and business. This course may be useful for Economists who want to develop a stronger foundation in discrete optimization. It will provide them with the skills they need to use optimization software to solve real-world problems.

See salaries and explore the career path for Economist

Operations Manager

Operations Managers plan and direct the activities of an organization's production and delivery systems. They may work in a variety of industries, including manufacturing, healthcare, and retail. This course may be useful for Operations Managers who want to develop a stronger foundation in discrete optimization. It will provide them with the skills they need to use optimization software to solve real-world problems.

See salaries and explore the career path for Operations Manager

Project Manager

Project Managers plan, organize, and execute projects. They may work in a variety of industries, including construction, engineering, and technology. This course may be useful for Project Managers who want to develop a stronger foundation in discrete optimization. It will provide them with the skills they need to use optimization software to solve real-world problems.

See salaries and explore the career path for Project Manager

Logistics Manager

Logistics Managers plan, implement, and control the flow of goods and services. They may work in a variety of industries, including manufacturing, transportation, and retail. This course may be useful for Logistics Managers who want to develop a stronger foundation in discrete optimization. It will provide them with the skills they need to use optimization software to solve real-world problems.

See salaries and explore the career path for Logistics Manager

Reading list

We've selected eight books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in 离散优化建模高阶篇 Advanced Modeling for Discrete Optimization.