3rd Workshop on Game Theory in Communication Networks

Research Article

A Dynamic Approach for Load Balancing

  • @INPROCEEDINGS{10.4108/ICST.VALUETOOLS2009.7775,
        author={Dominique  Barth and Olivier  Bournez and Octave  Boussaton and Johanne  Cohen},
        title={A Dynamic Approach for Load Balancing},
        proceedings={3rd Workshop on Game Theory in Communication Networks},
        publisher={ACM},
        proceedings_a={GAMECOMM},
        year={2010},
        month={5},
        keywords={},
        doi={10.4108/ICST.VALUETOOLS2009.7775}
    }
    
  • Dominique Barth
    Olivier Bournez
    Octave Boussaton
    Johanne Cohen
    Year: 2010
    A Dynamic Approach for Load Balancing
    GAMECOMM
    ICST
    DOI: 10.4108/ICST.VALUETOOLS2009.7775
Dominique Barth1,*, Olivier Bournez2,*, Octave Boussaton3,*, Johanne Cohen4,*
  • 1: Université de Versailles. Laboratoire PRiSM, 45, avenue des Etats-Unis, 78000 Versailles, FRANCE.
  • 2: Ecole Polytechnique. Laboratoire LIX, 91128 Palaiseau Cedex, FRANCE.
  • 3: LORIA, 615 Rue du Jardin Botanique, 54602 Villers-Lès-Nancy, FRANCE.
  • 4: CNRS. Université de Versailles, 45, avenue des Etats-Unis, 78000 Versailles, FRANCE.
*Contact email: Dominique.Barth@prism.uvsq.fr, Olivier.Bournez@polytechnique.fr, Octave.Boussaton@loria.fr, Johanne.Cohen@prism.uvsq.fr

Abstract

We study how to reach a Nash equilibrium in a load balancing scenario where each task is managed by a selfish agent and attempts to migrate to a machine which will minimize its cost. The cost of a machine is a function of the load on it. The load on a machine is the sum of the weights of the jobs running on it. We prove that Nash equilibria can be learned on that games with incomplete information, using some Lyapunov techniques.