Implémentation d'une solution simulant la dynamique des mariages au sein des communes belges

  • Alice Collot

Student thesis: Master typesMaster in Mathematics

Abstract

To improve people’s needs, politics and companies offer plans or laws which lead to future solutions.However, these undertakings have to be thought before taken, a full and solid analysis has to be reali-zed. To achieve this study, mathematics are often used because of their progress in modelisation tools.It’s now possible to replicate the behaviour and the features of the actual population. This syntheticpopulation is not identical to the real one but has to reproduce different statistical distributions of theactual population in order to be a proper modelization. It includes various dynamics of evolution, suchas the aging of people, the modeling of births or the simulation of deaths. These dynamics simulate reallifecourse process.The primary goal of this work is the modeling of a specific population dynamic : marriages. This com-plicated process involves two separate parts. First, the marriage market is built with all of the singlepeople who desire to get married. Then, the matching is performed. Several models are implementedand studied for each of the two sections. In the end of each part, we conclude on the more suitablealgorithm. Furthermore, we want these models to be general in order to be inserted in current syntheticpopulation projects.
Date of Award25 Jun 2018
Original languageFrench
Awarding Institution
  • University of Namur
SupervisorTimoteo Carletti (Supervisor), Johan Barthélémy (Jury), Éric Cornelis (Co-Supervisor), Morgane Dumont (Jury) & André Hardy (Jury)

Keywords

  • discrete choice
  • marriages
  • marriages market
  • matching
  • micro-modeling
  • neural network
  • simulated annealing
  • simulation
  • statistics

Attachment to an Research Institute in UNAMUR

  • naXys

Cite this

Implémentation d'une solution simulant la dynamique des mariages au sein des communes belges
Collot, A. (Author). 25 Jun 2018

Student thesis: Master typesMaster in Mathematics