Augmented Lagrangian method within L-shaped method for stochastic linear programs

Stochastic programming is an optimization technique used in the presence of uncertainty and it typically leads to very large problem sizes. In this paper, a modified version of the L-shaped method was used to solve two-stage stochastic linear programs with recourse, based on the projection method and the augmented Lagrangian method. Using this modified version of the L-shaped method allows us to reduce the number of iterations and the time of solving a two-stage stochastic linear program with fixed recourse, in comparison with traditional methods.