Hartmut Schmeck

On cone based decompositions of proper Pareto optimality

  • Marlon Braun
  • Hartmut Schmeck
  • Pradyumn Kumar Shukla
    • Categories Global Optimization, Multi-Criteria Optimization Tags , , ,

    In recent years, the research focus in multi-objective optimization has shifted from approximating the Pareto optimal front in its entirety to identifying solutions that are well-balanced among their objectives. Proper Pareto optimality is an established concept for eliminating Pareto optimal solutions that exhibit unbounded tradeo ffs. Imposing a strict tradeo ff bound allows specifying how many units … Read more

    A Theoretical and Algorithmic Characterization of Bulge Knees

  • Marlon Braun
  • Hartmut Schmeck
  • Pradyumn Kumar Shukla
    • Categories Constrained Nonlinear Optimization, Multi-Criteria Optimization

    This paper deals with the problem of finding convex bulges on the Pareto-front of a multi-objective optimization problem. The point of maximum bulge is of particular interest as this point shows good trade-off properties and it is also close to the non-attainable utopia point. Our approach is to use a population based algorithm to simultaneously … Read more