Constraint Programming from edX

Today more than ever, the optimal use of resources has become a very important issue. Many decision problems (logistics, production, space, etc.) aiming at an optimal use of resources can be formulated as constraint combinatorial optimization problems. Unfortunately, these problems are difficult to solve mainly for two reasons :

They require complex algorithms to design and develop,
Finding an optimal solution can be computationally intensive.

In this course, we will learn the basics of constraint programming: a paradigm that aims to reduce the cost of developing and solving combinatorial problems through extensive reuse of code, whose design is open-ended, but also through pruning techniques of the search space by reasoning at the level of constraints.

During the proposed projects, you will develop your own constraint programming solver in Java that we will gradually extend in functionality in order to solve more and more complex combinatorial problems, especially in scheduling and vehicle routing. You will also develop global constraints, implement search strategies, model problems, and measure the impact of modeling choices on the efficiency of the solution.

Each module first introduces the concepts through videos, then a programming project is proposed to put these concepts into practice.

What's inside

Learning objectives

Understand the constraint programming paradigm
Design and implement a modern constraint programming library
Model using the constraint programming

Extend the solver with new global constraints
Design custom and black-box searches
Approach scheduling and vehicle routing problems with constraint programming

Understand the constraint programming paradigm
Design and implement a modern constraint programming library
Model using the constraint programming
Extend the solver with new global constraints
Design custom and black-box searches
Approach scheduling and vehicle routing problems with constraint programming

Syllabus

Module 1: From Backtracking Search to the Constraint Programming ParadigmStarting from a custom backtracking search algorithm for the N-Queens Problem, we will make the approach gradually more generic until the introduction of a purely declarative approach and the design a first tiny CP library.

Traffic lights

Read about what's good

what should give you pause

and possible dealbreakers

Develops advanced modeling techniques and global constraints, which are core skills for solving complex combinatorial problems

Taught by Pierre Schaus, Laurent Michel, Pascal Van Hentenryck, who are recognized for their work in constraint programming

Uses Mini-CP, a constraint programming library, which is essential for solving combinatorial problems

Covers a wide range of topics in constraint programming, including scheduling, vehicle routing, and cumulative scheduling problems

Provides hands-on experience in developing and extending a constraint programming solver

Builds a strong foundation for beginners in constraint programming

Reviews summary

Hands-on constraint programming with solver implementation

According to students, this course offers a deep dive into Constraint Programming with a hands-on approach. Learners widely praise building their own Mini-CP solver in Java, calling it a unique and solidifying experience. While instruction is clear and relevant for optimization problems, many note its challenging nature, advising strong Java and algorithm prerequisites. Some find the projects demanding, leading to debugging difficulties.

The course is challenging and requires strong prior knowledge.

"It's challenging but rewarding."

"The course has good content, but it's very dense. I found the pacing a bit fast, especially if I'm not already strong in Java or advanced algorithms."

"This course was too advanced for me. I think the prerequisites should be emphasized more; it's not for beginners in programming or algorithms."

Instructor provides clear explanations for complex topics.

"The instructor is very clear and the theory is well-balanced with practical application."

"The lectures are clear, and the examples are helpful."

"I really appreciated the depth of the course on scheduling and VRP. The global constraints explanations were insightful."

Offers valuable insights for real-world optimization problems.

"Excellent course! ... Covered complex topics like VRP and scheduling thoroughly. This course fills a huge gap in online learning for CP."

"One of the best courses I've taken... Highly relevant for logistics and operations research professionals."

"I gained unparalleled insight into how everything works under the hood and how it applies to real problems."

Learn CP by creating your own solver from scratch in Java.

"The projects are incredibly hands-on and make you build a solver from scratch in Java, which truly solidifies the concepts."

"Excellent course! The emphasis on building my own solver is brilliant. It's not just theory, I actually implement everything."

"One of the best courses I've taken on optimization. The approach of building a solver module by module is genius."

Projects can be challenging to debug, impacting learning focus.

"The projects are good but can be overwhelming without prior experience."

"I wish there were more guided examples for debugging the solver."

"I spent more time debugging my Java code than understanding the CP concepts. Perhaps more boilerplate code or unit tests could be provided."

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 Constraint Programming with these activities:

Refresh your Java skills by reviewing object-oriented programming concepts and syntax

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Brushing up on Java fundamentals will provide a solid foundation for understanding constraint programming.

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Review Java syntax and basic data types
Practice writing simple Java programs
Create a Java class with methods and fields

Read 'Constraint Programming' by Pascal Van Hentenryck

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This book provides a comprehensive overview of constraint programming, covering the foundational concepts and advanced techniques that you will encounter in the course.

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Read chapters 1-3 to understand the basic principles of constraint programming
Work through the examples and exercises provided in the book

Follow online tutorials on Mini-CP, a constraint programming library for Java

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Mini-CP is a powerful constraint programming library that can be used to solve a wide range of problems. These tutorials will help you gain proficiency in using Mini-CP.

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Go through the Mini-CP tutorial series
Practice solving constraint programming problems using Mini-CP

Five other activities

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Solve constraint satisfaction problems using backtracking search

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Practicing backtracking search will help you develop a deeper understanding of constraint programming and improve your problem-solving skills.

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Implement a backtracking search algorithm in Java
Solve a series of constraint satisfaction problems using the implemented algorithm
Analyze the performance of your algorithm for different problem sizes

Participate in a study group or discussion forum to discuss constraint programming concepts and problems

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Engaging in discussions with peers will help you clarify your understanding and learn from others' perspectives, which can enhance your learning outcomes.

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Join a study group or discussion forum
Actively participate in discussions and ask questions

Create a blog post or video tutorial explaining a constraint programming technique

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By creating a blog post or video tutorial, you will reinforce your understanding of constraint programming and share your knowledge with others.

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Choose a constraint programming technique to explain
Write a blog post or create a video tutorial explaining the technique
Share your content with others

Mentor a fellow student who is struggling with constraint programming concepts

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Mentoring others not only benefits the mentee but also reinforces your own understanding of the subject matter.

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Identify a student who needs help with constraint programming
Provide guidance and support to the student
Reflect on your own understanding of constraint programming

Contribute to an open-source constraint programming project

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Contributing to open-source projects allows you to apply your skills, collaborate with others, and make valuable contributions to the constraint programming community.

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Find an open-source constraint programming project to contribute to
Identify a task or issue to work on
Submit a pull request with your contribution

Career center

Learners who complete Constraint Programming will develop knowledge and skills that may be useful to these careers:

Software Engineer

A Software Engineer designs, builds, and maintains software applications. As a Constraint Programming expert, you will leverage your advanced problem-solving skills and understanding of constraint modeling to optimize software performance and efficiency. The ability to quickly develop, prototype, and test software solutions gives you a competitive edge in the industry.

See salaries and explore the career path for Software Engineer

Data Scientist

A Data Scientist extracts valuable insights from complex data. By taking this course, you will build a solid foundation in data analysis and optimization. This will enable you to develop intelligent data-driven solutions that help businesses make informed decisions. Furthermore, you will gain a competitive edge in the job market.

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Quantitative Analyst

A Quantitative Analyst develops mathematical and statistical models to assess risk and make investment decisions. Your expertise in Constraint Programming will be invaluable as you work with complex datasets and financial models. The ability to understand and optimize financial problems will make you a highly sought-after candidate in the金融业.

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Operations Research Analyst

An Operations Research Analyst uses mathematical and analytical techniques to improve operational efficiency. Your skills in Constraint Programming will provide you with a strong foundation in modeling and solving complex optimization problems. You will be able to design and implement solutions that enhance productivity and reduce costs in various industries.

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Business Analyst

A Business Analyst identifies and analyzes business needs and develops solutions. By taking this course, you will gain valuable problem-solving and analytical skills. These skills will enable you to effectively bridge the gap between business stakeholders and technical teams, making you an essential asset to any organization.

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Project Manager

A Project Manager plans, executes, and monitors projects. Expertise in Constraint Programming will equip you with a systematic approach to project management. You will be able to optimize resource allocation, manage project timelines, and ensure successful project outcomes, giving you a competitive edge in managing complex projects.

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Systems Engineer

A Systems Engineer designs, develops, and maintains complex systems. Your understanding of constraint modeling and optimization will be vital in ensuring the reliability and efficiency of these systems. You will be able to identify and resolve potential issues, contributing to the successful development and deployment of complex systems.

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Computational Scientist

A Computational Scientist uses computational techniques to solve complex scientific problems. As a Constraint Programming expert, you will have the necessary skills to develop efficient and accurate models for scientific research. This will enable you to contribute to advancements in various scientific fields, including physics, chemistry, and biology.

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Data Engineer

A Data Engineer designs and implements data management systems. With your knowledge in Constraint Programming, you can optimize data pipelines and ensure efficient data storage and retrieval. This skillset is highly sought after as organizations strive to manage and utilize their growing data assets.

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Machine Learning Engineer

A Machine Learning Engineer develops and deploys machine learning models. By taking this course, you will gain foundational knowledge in constraint modeling and optimization techniques. This will enable you to design and implement efficient algorithms for machine learning tasks, such as model training and hyperparameter tuning.

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Financial Analyst

A Financial Analyst provides financial advice and guidance. Your expertise in Constraint Programming will provide you with an analytical edge in evaluating financial data, making investment recommendations, and managing financial risks. You will be able to develop innovative financial models that optimize investment portfolios and minimize risks.

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Supply Chain Manager

A Supply Chain Manager plans, executes, and controls the movement of goods and services. Your skills in Constraint Programming will enable you to optimize supply chain networks. You can design and implement efficient logistics and distribution systems, reducing costs and improving customer service levels.

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Risk Manager

A Risk Manager identifies, assesses, and mitigates risks. Your expertise in Constraint Programming will empower you with a systematic approach to risk management. You can develop and implement risk management strategies, ensuring the resilience and continuity of organizations.

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Statistician

A Statistician collects, analyzes, and interprets data. By taking this course, you will gain valuable skills in statistical modeling and inference. These skills will enable you to design and conduct effective statistical studies, providing insights from complex data to support decision-making.

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Software Developer

A Software Developer designs, develops, and tests software applications. While Constraint Programming is not a direct requirement for this role, the problem-solving and analytical skills gained from the course will complement your technical abilities. You can apply these skills to write efficient and reliable code and solve complex software development challenges.

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