Post-Doctoral Research Visit F/M Aggregation techniques in the Benders decomposition strategy
il y a 1 mois
Contexte et atouts du poste
Discrete optimization methods can be applied to solve a wide range of practical problems. Such problems are often formulated as either integer, or mixed-integer, programs which enables them to be solved using mathematical programming techniques. However, to this day, integer and mixed- integer programs remain extremely hard to solve. An approach that has undoubtedly proven its worth in this context is Benders decomposition.
Principales activités
In this postdoc, the candidate will investigate how the use of general aggregation strategies can be applied to large-scale optimization models in the context of enhancing Benders' decomposition. In previous work, it was shown how scenario subproblem aggregation can produce a strengthened Master’s formulation, which, in turn, helps to accelerate the overall search process. The aim here will be to generalize this approach and develop a methodological framework to produce model approximations through the use of both column and row aggregation techniques that can define valid inequalities that reinforce the classical Benders cuts.
Compétences
The post-doctoral candidate should have experience in optimization, mathematical modelling, and linear and integer programming. She/he must have good programming skills (particularly experience on C++ or Java).
Avantages
Subsidized meals Partial reimbursement of public transport costs Leave: 7 weeks of annual leave + 10 extra days off due to RTT (statutory reduction in working hours) + possibility of exceptional leave (sick children, moving home, etc.) Possibility of teleworking and flexible organization of working hours Professional equipment available (videoconferencing, loan of computer equipment, etc.) Social, cultural and sports events and activities Access to vocational training Social security coverage-
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