The University of Melbourne
Advanced Modeling for Discrete Optimization
The University of Melbourne

Advanced Modeling for Discrete Optimization

Taught in English

Some content may not be translated

18,625 already enrolled


Gain insight into a topic and learn the fundamentals

Prof. Jimmy Ho Man Lee
Prof. Peter James Stuckey

Instructors: Prof. Jimmy Ho Man Lee

Top Instructor


(132 reviews)

Intermediate level
Some related experience required
46 hours to complete
3 weeks at 15 hours a week
Flexible schedule
Learn at your own pace

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There are 5 modules in this course

Similar to computer programs, models can have bugs. In this module, you will see the symptoms (unsatisfiability, too many solutions, too few solutions) of different bugs, and learn methods to discover what is going wrong with your model and how to fix it. Equipped with these tools, you will be able to develop and debug complex models.

What's included

22 videos6 readings1 programming assignment

In this module, you will learn how to encapsulate a complex constraint definition in a predicate definition to enable its reuse. This will enable the construction of far more complex models with improved readability in a modular manner. You will also encounter for the first time a problem with multiple objectives and learn how to compress them into one single objective. In addition to this, you will learn how to model the banquet seating problem, which will assist you in many occasions in life.

What's included

6 videos1 reading1 programming assignment

Learn how to tackle complex project scheduling problems of various forms, progressively from ones with only basic precedence requirements to ones with unary resources and even cumulative resources. You will see how to model some of the complex constraints that arise in these applications.

What's included

7 videos1 reading1 programming assignment

In this module, you will learn the important application of packing, from the packing of squares to rectilinear shapes with and without rotation. Again, you will see how to model some of the complex constraints that arise in these applications.

What's included

3 videos

This final module looks at the various forms of symmetries that can appear in discrete optimization problems. You will learn various methods and special constraints to break such symmetries so as to increase solving efficiency. You will also learn the notion of dominance, which is a generalization of symmetries, and also dominance breaking techniques.

What's included

6 videos3 readings1 programming assignment


Instructor ratings
4.9 (20 ratings)
Prof. Jimmy Ho Man Lee

Top Instructor

The Chinese University of Hong Kong
6 Courses42,529 learners
Prof. Peter James Stuckey

Top Instructor

The University of Melbourne
7 Courses44,812 learners

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