Felix Engelhardt

Minimum-Peak-Cost Flows Over Time

  • Mariia Anapolska
  • Christina Büsing
  • Felix Engelhardt
  • Timo Gersing
  • Sabrina Schmitz
  • Sophia Wrede
    • Categories Combinatorial Optimization, Network Optimization Tags , , , ,

    Peak cost is a novel objective for flows over time that describes the amount of workforce necessary to run a system. We focus on minimising peak costs in the context of maximum temporally repeated flows and formulate the corresponding MPC-MTRF problem. First, we discuss the limitations that emerge when restricting the solution space to integral … Read more

    Structural Insights and an IP-based Solution Method for Patient-to-room Assignment Under Consideration of Single Room Entitlements

  • Tabea Brandt
  • Christina Büsing
  • Felix Engelhardt
    • Categories 0-1 Programming, Applications - OR and Management Sciences, Combinatorial Optimization Tags , , ,

    Patient-to-room assignment (PRA) is a scheduling problem in decision support for large hospitals. This work proposes Integer Programming (IP) formulations for dynamic PRA, where either full, limited or uncertain information on incoming patients is available. The applicability is verified through a computational study. Results indicate that large, real world instances can be solved to a … Read more