Modern Optimization Methods for Decision Making Under Risk and Uncertainty

"Uncertainties, risks, and disequilibria are pervasive characteristics of modern socio-economic, technological, and environmental systems involving interactions among various factors in economy, technology and nature. The systems are characterized by interdependencies, discontinuities, endogenous risks and thresholds, requiring non-smooth quantile-based performance indicators, goals and constraints for their explaining and planning. The two-stage stochastic optimization with stochastic quasi-gradients enables designing a robust portfolio of interdependent precautionary strategic and adaptive operational decisions making the systems resilient with respect to potential uncertainties and risks"--