Advanced Algorithms for Optimization

linfo2266  2021-2022  Louvain-la-Neuve

Advanced Algorithms for Optimization
5 credits
30.0 h + 15.0 h
Main themes
  • tree research exploration
  • branch and bound
  • relaxation (Lagrangian) and calculation of terminals
  • local search
  • mathematical programming
  • constraint programming
  • graph algorithms
  • wide neighborhood research
  • dynamic programming
  • greedy algorithms and approximation algorithms
  • multi-criteria optimization
  • optimization without derivative
  • comparisons of algorithms
These methods will be applied to real problems like vehicle routing, scheduling and rostering confection, network design, scheduling and scheduling, etc..

At the end of this learning unit, the student is able to :

Given the learning outcomes of the "Master in Computer Science and Engineering" program, this course contributes to the development, acquisition and evaluation of the following learning outcomes:
  • INFO1.1-3
  • INFO2.3-5
  • INFO5.3-5
  • INFO6.1, INFO6.4
Given the learning outcomes of the "Master [120] in Computer Science" program, this course contributes to the development, acquisition and evaluation of the following learning outcomes:
  • SINF1.M4
  • SINF2.3-5
  • SINF5.3-5
  • SINF6.1, SINF6.4
Students completing this course successfully will be able to
  • explain the algorithms for solving discrete optimization problems by describing precisely specifying the problems they solve, indicating their advantages, disadvantages and limitations (computing time, accuracy, problems of scaling , etc.),
  • identify the algorithms that apply to a discrete optimization problem they are facing and make an arguedchoice among them ,
  • implement algorithms for solving discrete optimization problems.
  • dynamic programming
  • branch and bound
  • linear programming
  • Lagrangian relaxation
  • column generation
  • local search
  • constraint programming and sat
  • graph algorithms: flows
  • comparisons of optimization algorithms
These methods will be applied to real problems like vehicle routing, scheduling and rostering confection, network design, scheduling and scheduling, etc..
Teaching methods
The presentation of the algorithms in the lecture will be accompanied by practical work (assignments / micro-projects) requesting the implementation of an algorithm to solve a practical optimization problem. The evaluation work will be partially automated on the basis of the quality of the solutions found by the algorithms.
Evaluation methods
Much of the evaluation is associated to pratical work (30% of points across three assignments). The remaining 70% will be assessed in a conventional manner with a written or oral examination. Projects can not be redone in the second session.
Other information
Background: a good knowledge of data structures and algorithms for instance obtained by having followed the course LINFO121
Faculty or entity

Programmes / formations proposant cette unité d'enseignement (UE)

Title of the programme
Master [120] in Data Science Engineering

Master [120] in Computer Science and Engineering

Master [120] in Data Science: Information Technology

Master [120] in Computer Science

Master [120] in Data Science : Statistic