Article ID: | iaor20163641 |
Volume: | 66 |
Issue: | 3 |
Start Page Number: | 487 |
End Page Number: | 510 |
Publication Date: | Nov 2016 |
Journal: | Journal of Global Optimization |
Authors: | Lin Gui-Hua, Zhang Jin, Luo Mei-Ju |
Keywords: | stochastic processes, heuristics, programming: mathematical |
We consider a stochastic non‐smooth programming problem with equality, inequality and abstract constraints, which is a generalization of the problem studied by Xu and Zhang (Math Program 119:371–401, 2009) where only an abstract constraint is considered. We employ a smoothing technique to deal with the non‐smoothness and use the sample average approximation techniques to cope with the mathematical expectations. Then, we investigate the convergence properties of the approximation problems. We further apply the approach to solve the stochastic mathematical programs with equilibrium constraints. In addition, we give an illustrative example in economics to show the applicability of proposed approach.