Course unit

Graphs and Optimisation

Last updated: 26/09/2022

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Course Director(s):

ABSI Nabil

General Description:

The aim of the course is to introduce students to graph theory and combinatory optimistaion:

  • 3 lecture courses to enable students to acquire the basics :
  • 6 supervised study sessions for closer examination of the different notions covered through the study of various classic optimisation problems.

Key words:

Graph theory Optimization

Number of teaching hours

29

Fields of study

Teaching language

French English

Intended learning outcomes

On completion of the unit, the student will be capable of: Classification level Priority
Acquiring the basic notions of graph theory and optimisation 1. Knowledge Essential
Understanding and applying classic resolution methods in discrete optimisation 3. Apply Essential

Learning assessment methods

Percentage ratio of individual assessment Percentage ratio of group assessment
Written exam: 100 % Project submission: %
Individual oral exam: % Group presentation: %
Individual presentation: % Group practical exercise: %
Individual practical exercise: % Group report: %
Individual report: %
Other(s): %

Programme and content

Type of teaching activity Content, sequencing and organisation
Course

Introduction to graph theory

Course

Tree spanning minimum weight problem,  shortest path problem

Course

Introduction to linear programming in whole numbers: modelling, simplex, branch-and-bound

Supervised study

Supervised study on 1st course session topic

Supervised study

Supervised study on 2nd course session topic

Supervised study

Supervised study on 3rd course session topic

Course

Back-pack problem

Course

Sales representative problem

Course

Problem of vehicle rounds