Mathematics of Information Technology and Complex Systems





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Milestones

  • 2001
    Development of the optimization engine. Validation on real airline data. Development of a GUI prototype.
  • 2002
    Development of the calibration module. Theoretical results on complexity and modeling. Refinements to the GUI.
  • 2003
    Extensive testing of the optimization engine on the North American low-cost airline market. Development of specialized solution algorithms for solving instances of practical size. Adaptation of the model to the passenger rail problem.
  • 2004
    Extensive testing of the model and algorithms on real rail data (provided by a major European railway). Adaptation of the model to the telecom context.
  • 2005
    Extensive testing of the model and algorithms on telecom data.
  • 2009
    Development of a simulator for the airline industry. New algorithms for the calibration of nested logit models. Real life applications in airline and rail. Development of forecaster based on neural networks.  And, throughout the entire project, lots of lemmas, theorems and corollaries pertaining to variational inequalities, polyhedral theory, bilevel optimization, optimal control, simulation.