Mathematical and Computational Methods for Decision Problems
     

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Research themes 

Complementary research themes are developed in collaboration with other INRA scientists, in particular from the Agronomy and Environment department.

  • Conceptual modeling of agricultural production systems for the purpose of simulation.
    We develop methods of explicit representation of biophysical systems and decision processes in view of their analysis by simulation. Relevant disciplines include knowledge engineering, knowledge management (in particular ontological modeling) and system analysis. Conceptual modeling aims at: (i) characterizing and formalizing the generic structures of production systems so as to ease the analysis of their configuration and functioning; (ii) making it possible to reuse the elaborated concepts in different applications.

  • Prediction models

  • Spatial decision and multi-agent deciison

  • Reinforcement learning
    This theme concerns the development of optimisation algorithms for problems of squential decision under uncertainty. The value of the criterion to optimize is provided by a simulator of the controlled biophysical system. The methods studied belongs to various domains including reinforcement learning, stochastic algorithms and combinatorial optimization.

  • Simulation-based optimisation

  • On-line planning methods for solving large MDPs

  • Non-classical criteria in decision-making
    The sequential decision problems addressed by the team often requires to consider other options than the classical averaging maximization of a unique criterion. This theme aims at studying which other criteria could be used and addressing the algorithmic issues raised by their incorporation in decision support software. Non-linear and non-probabilistic criteria are considered in the setting of decision theory extended to deal with qualitative (ordinal) criteria and a possibilistic representation of uncertainty, which yields a notion of qualitative utility function. The methods developed have roots in possibility theory approaches of decision under uncertainty and multicriteria decision-making.
     

     

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    19 août 2004
    Equipe Méthodes Mathématiques et Informatiques pour la Décision
    Centre INRA de Toulouse, Auzeville
    BP27, 31326 Castanet Tolosan cedex, 
    France