Rajae Aboulaich ; Abderrahmane Habbal ; Noureddine Moussaid - Optimisation multicritère : Une approche par partage des variables

arima:1938 - Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, October 27, 2010, Volume 13 - 2010 - Special issue TAMTAM'09 - https://doi.org/10.46298/arima.1938
Optimisation multicritère : Une approche par partage des variables

Authors: Rajae Aboulaich 1; Abderrahmane Habbal 2,3; Noureddine Moussaid 1

  • 1 Laboratoire d'Etudes et Recherche en Mathématiques Appliquées
  • 2 Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE
  • 3 Laboratoire Jean Alexandre Dieudonné

We are interested here, in multi-criteria optimization problem using game theory. This problem will be treated by using a new algorithm for the splitting of territory in case of concurrent optimization, which presents a new formulation of Nash games between two players using two tables of allocations. Each player minimizes his cost function using the variables allocated by his own table. The two tables are given by an iterative algorithm. An image processing problem is addressed by using the proposed algorithms.

Volume: Volume 13 - 2010 - Special issue TAMTAM'09
Published on: October 27, 2010
Submitted on: April 8, 2010
Keywords: Multi-criteria Optimization, Game theory, Concurrent Optimization, Split of territories, image processing,Partage de Territoire,traitement d’image,Optimisation multi-critère,Théorie des jeux,Optimisation concourante,[INFO] Computer Science [cs],[MATH] Mathematics [math]

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