Handling CVaR objectives and constraints in two-stage stochastic models

Based on the polyhedral representation of Künzi-Bay and Mayer [Künzi-Bay, A., Mayer, J., 2006. Computational aspects of minimizing conditional value-at-risk. Computational Management Science 3, 3–27] , we propose decomposition frameworks for handling CVaR objectives and constraints in two-stage stochastic models. For the solution of the decomposed problems we propose special Level-type methods.