Multi-Criteria Optimization

Dynamic Weighted Aggregation for Evolutionary Multiobjective Optimization

  • Yaochu Jin
    • Categories Multi-Criteria Optimization, Multidisciplinary Design Optimization Tags , , ,

    Weighted sum based approaches to multiobjective optimization is computationally very efficient. However,they have two main weakness: 1) Only one Pareto solution can be obtained in one run 2) The solutions in the concave part of the Pareto front cannot be obtained. This paper proposes a new theory on multiobjective optimization using weighted aggregation approach. Based … Read more

    Generalized Goal Programming: Polynomial Methods and Applications

  • Emilio Carrizosa
  • Jörg Fliege
    • Categories Applications - OR and Management Sciences, Convex Optimization, Multi-Criteria Optimization Tags , , , ,

    In this paper we address a general Goal Programming problem with linear objectives, convex constraints, and an arbitrary componentwise nondecreasing norm to aggregate deviations with respect to targets. In particular, classical Linear Goal Programming problems, as well as several models in Location and Regression Analysis are modeled within this framework. In spite of its generality, … Read more