Matheuristics for Combinatorial Optimization problems (Module 2)

A.Y. 2021/2022
Course offered to students on the PhD programme in
Overall hours
Lesson period
February 2022
Lead instructor: Roberto Cordone
Combinatorial Optimization is a huge domain of study, focused on optimization problems with a finite set of solutions.
It has important practical applications to manifold fields, including artificial intelligence, machine learning, routing, scheduling, location, network analysis and design. As many Combinatorial Optimization problems are NP-hard, heuristics are a natural solution approach. Matheuristics, also known as model-based heuristics,
exploit the information provided by mathematical programming models, that is the representation of the feasible solution space by means of equalities and inequalities on suitable decision variables.
The advantage of these methods with respect to the classical solution-based heuristics and metaheuristics consists in the additional information they give, for example in terms of a priori or a posteriori
guarantees on the quality of the solution returned.
The first module of the course introduces the basic concepts of mathematical programming and surveys the matheuristics based on relaxation methods and decomposition methods. The second module of the course reviews the matheuristics which exploit the availability of mathematical programming solvers and those that interact with solution-based metaheuristics. The two modules are rather independent, but the second one requires the basic concepts recalled in the first one.
Linear algebra, Operations Research (preferably)
Assessment methods
Giudizio di approvazione
Assessment result
superato/non superato
How to enrol


The course enrolment deadline is usually the 25th day of the month prior to the start date. More specifically:

  • 27 December 2021 for courses starting in January 2022
  • 25 January 2022 for courses starting in February 2022
  • 25 February 2022 for courses starting in March 2022.

Deadlines for enrolment in other courses will be announced as soon as possible.

How to enrol

  1. Access enrolment on PhD courses online service using your University login details
  2. Select the desired programme and click on Registration (Iscrizione) and then on Register (Iscriviti)

Ignore the option "Exam session date” that appears during the enrolment procedure.


For help please contact [email protected]

By appointment
DI - Via Celoria 10, Milan