For both regulated and deregulated electric power markets, due to the integration of renewable energy generation and uncertain demands, both supply and demand sides of an electric power grid are volatile and under uncertainty. Accordingly, a large amount of spinning reserve is required to maintain the reliability of the power grid in traditional approaches. In this paper, we propose a novel two...

Two-stage optimization with recourse model is an important and widely used model, which has been studied extensively these years. In this article, we will look at a new variant of it, called the two-stage optimization with recourse and revocation model. This new model differs from the traditional one in that one is allowed to revoke some of his earlier decisions and withdraw part of the earlier...

Robust optimization extends stochastic programming models by incorporating measures of variability into the objective function. This paper explores robust optimization in the context of two-stage planning systems. First, we propose the use of a generalized Benders decomposition algorithm for solving robust models. Next, we argue that using an arbitrary measure for variability can lead to sub-op...

Abstract In this paper a class of robust two-stage combinatorial optimization problems is discussed. It assumed that the uncertain second-stage costs are specified in form convex uncertainty set, particular polyhedral or ellipsoidal ones. shown versions basic network and selection NP-hard, even very restrictive cases. Some exact approximation algorithms for general problem constructed. Polynomi...

Risk averse stochastic optimization is investigated in the context of elastic shape optimization, allowing for microstructures in the admissible shapes. In particular, a two-stage model for shape optimization under stochastic loading with risk averse cost functionals is combined with a two-scale approach for the simulation of microstructured materials. The microstructure is composed of an elast...

in the present study, water allocation of latian dam between agricultural products was evaluated by using inexact two-stage optimization model and the final results were compared to a fuzzy interval. data were collected from the regional water and agricultural organization of tehran province for 1991 to 2009 years. the results showed that by using interval fuzzy programming, 63%, 69%, 49% and 3...