· 2001
Development of a pricing bilevel model and initial proof of concept.
Complexity results, development of algorithms.
· 2002
Development of the calibration module. New theoretical results on
complexity. New branch-and-bound approach. Validation on real life
airline data.
· 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
Integration of capacity. 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 and
pricing of bandwidth.
· 2005
Development of new behavioural model based on the random utility
paradigm: connection with previous multiclass model. New algorithms to
incorporate these random models. Results on dynamic pricing and real
options.
· 2006-2009
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.
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