Risk-Averse Regret Minimization in Multistage Stochastic Programs
Within the context of optimization under uncertainty, a well-known alternative to minimizing expected value or the worst-case scenario consists in minimizing regret. In a multistage stochastic programming setting with a discrete probability distribution, we explore the idea of risk-averse regret minimization, where the benchmark policy can only benefit from foreseeing ∆ steps into the future. The ∆-regret model naturally interpolates between the popular ex ante and ex post regret models. We provide theoretical and numerical insights about this family of models under popular coherent risk measures and shed new light on the conservatism of the ∆-regret minimizing solutions. The talk is based on the following paper: https://pubsonline.informs.org/doi/full/10.1287/opre.2022.2429.
Angelos Georghiou is an Assistant Professor of Operations Management at the Department of Business and Public Administration at the University of Cyprus. His research focuses on the development of tractable computational methods for the solution of stochastic and robust optimization problems, as well as applications in operations management, healthcare and energy.
Lunch will be provided (vegetarian option included).