PhD Defense E.J. Roos
Robust Approaches for Optimization Problems with Convex Uncertainty
This thesis discusses different methods for robust optimization problems that are convex in the uncertain parameters. Such problems are inherently difficult to solve as they implicitly require the maximization of convex functions. First, an approximation of such a robust optimization problem based on a reformulation to an equivalent adjustable robust linear optimization problem is proposed. Then, an algorithm to solve convex maximization problems is developed that can be used in a cutting-set method for robust convex problems. Last, distributionally robust optimization is explored as an alternative approach to deal with this convexity. Specifically, it is applied to a novel problem formulation to reduce conservatism in robust optimization and project planning. Additionally, a new tail probability bound is derived that can be used for distribution-free analysis of many OR problems.
Ernst Roos (Nijmegen, 1994) received his Bachelor’s degree in Econometrics and Operations Research from Tilburg University in 2014, followed by a Research Master degree in Operations Research in 2017. He then became a PhD candidate in Operations Research funded by an NWO Research Talent grant and visited Imperial College London and Technion – Israel Institute of Technology in Haifa during his PhD period.
- Location: Cobbenhagen building, Aula
- Supervisor: Prof. D. den Hertog
- Co-supervisor: Dr. R.C.M. Brekelmans
Tilburg University follows the guidelines of the National Institute for Public Health and the Environment (RIVM) concerning the corona virus. Due to the most recent developments, we offer a live stream for our ceremonies.