Pascal Lutter

Improved Handling of Uncertainty and Robustness in Set Covering Problems

  • Christina Büsing
  • Dirk Degel
  • Arie M.C.A. Koster
  • Pascal Lutter
  • Brigitte Werners
    • Categories Applications - OR and Management Sciences, Cutting Plane Approaches, Robust Optimization Tags , , ,

    This paper studies the emergency service facility location problem in an uncertain environment. The main focus is the integration of uncertainty regarding the covered area due to uncertain traveling times. Previous approaches only consider either probabilistic or fuzzy optimization to cope with uncertainty. However, in many real-world problems the required statistical parameters are not precisely … Read more

    A Robust Formulation of the Uncertain Set Covering Problem

  • Dirk Degel
  • Pascal Lutter
    • Categories Applications - OR and Management Sciences, Robust Optimization Tags , ,

    This work introduces a robust formulation of the uncertain set covering problem combining the concepts of robust and probabilistic optimization. It is shown that the proposed robust uncertain set covering problem can be stated as a compact mixed-integer linear programming model which can be solved with modern computer software. This model is a natural extension … Read more