pareto points

Newton’s Method for Multiobjective Optimization

  • Jörg Fliege
  • L. M. Graña Drummond
  • Benar Fux Svaiter
    • Categories Multi-Criteria Optimization Tags , , ,

    We propose an extension of Newton’s Method for unconstrained multiobjective optimization (multicriteria optimization). The method does not scalarize the original vector optimization problem, i.e. we do not make use of any of the classical techniques that transform a multiobjective problem into a family of standard optimization problems. Neither ordering information nor weighting factors for the … Read more

    The Effects of Adding Objectives to an Optimization Problem on the Solution Set

  • Jörg Fliege
    • Categories Multi-Criteria Optimization Tags , , , ,

    Suppose that for a given optimisation problem (which might be multicriteria problem or a single-criteron problem), an additional objective function is introduced. How does the the set of solutions, i.~e.\ the set of efficient points change when instead of the old problem the new multicriteria problem is considered? How does the set of properly efficient … Read more