Computational Optimization and Applications - Special issue on computational optimization—a tribute to Olvi Mangasarian, part II
Smoothing Methods for Mathematical Programs with Equilibrium Constraints
ICKS '04 Proceedings of the International Conference on Informatics Research for Development of Knowledge Society Infrastructure
SIAM Journal on Optimization
Solving Stochastic Mathematical Programs with Complementarity Constraints Using Simulation
Mathematics of Operations Research
Mathematical Programming: Series A and B - Nonlinear convex optimization and variational inequalities
Mathematics of Operations Research
Stochastic mathematical programs with equilibrium constraints
Operations Research Letters
Hi-index | 7.29 |
This paper considers a stochastic mathematical program with hybrid equilibrium constraints (SMPHEC), which includes either ''here-and-now'' or ''wait-and-see'' type complementarity constraints. An example is given to describe the necessity to study SMPHEC. In order to solve the problem, the sampling average approximation techniques are employed to approximate the expectations and smoothing and penalty techniques are used to deal with the complementarity constraints. Limiting behaviors of the proposed approach are discussed. Preliminary numerical experiments show that the proposed approach is applicable.