Une Approche pour l’accélération de la génération de colonnes appliquées au problème de rotations d'équipages

Abstract

We are interested in problems from combinatorial optimization, more precisely, the problem of construction crew rotations with resource constraints. The problem is to cover the cost of all flights of the company. Given the large size of the problems encountered in industry, these models are solved by an approach based on column generation that can handle implicitly all feasible solutions and a master problem determining the best solution. We propose in this paper an approach to improve the acceleration of the method of column generation for solving the problem of construction crew rotations, it is projected in each arc, the resources a vector of size smaller by using a Lagrangean relaxation algorithm to determine the coefficients of the projection arc combined with an algorithm for re-optimization, then generates a sub-set of complementary solutions to the master problem. The preliminary experiments of our technique gave good results on instances of random rotation of crews.