Alexander Müller

A Column Generation Approach for the Lexicographic Optimization of Intra-Hospital Transports

  • Andreas Bärmann
  • Alexander Martin
  • Alexander Müller
  • Dieter Weninger
    • Categories Integer Programming, Multi-Criteria Optimization, Transportation Tags , , , , ,

    Over the last fewyears, the efficient design of processes in hospitals and medical facilities has received more and more attention, particularly when the improvement of the processes is aimed at relieving theworkload of medical staff. To this end,we have developed a method to determine optimal allocations of intra-hospital transports to hospital transport employees. When optimizing … Read more

    Lexicographic Branch-and-Bound Column Search

  • Andreas Bärmann
  • Alexander Müller
  • Dieter Weninger
    • Categories (Mixed) Integer Linear Programming, Linear Programming, Scheduling Tags , , , , ,

    We present an exact generic method for solving the pricing problem in a column generation approach, which we call branch-and-bound column search. It searches the space of all feasible columns via a branch-and-bound tree search and returns all columns with a reduced-cost value below a certainthreshold. The approach is based on an idea from Krumke … Read more