In industrial applications, several objectives are often managed simultaneously (e.g., minimizing the cost and the weight of a mechanical structure satisfying some constraints). Although lots of optimization studies deal with only one objective, this approach is often not realistic for engineering optimization. Therefore, improvements in multiobjective optimization methods are required. This paper presents the formulation of a new utopia hyperplane that improves the proposal of the original normalized normal constraint method using two approaches: a redefinition of the anchor points and an exact linear transformation between the design objectives space and the normalized space. Both approaches always produce a normalized space with equal scales that improves the even distribution of the solutions over the Pareto frontier. Examples of the method proposed are presented related with mechanical engineering and structure design including a challenging non-convex Pareto frontier.


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    Title :

    A new perspective on multiobjective optimization by enhanced normalized normal constraint method


    Additional title:

    Neue Perspektive der Mehr-Ziel-Optimierung durch die verbesserte normalisierte normale Zwangsbedingungsmethode


    Contributors:
    Sanchis, J. (author) / Martinez, M. (author) / Blasco, X. (author) / Salcedo, J.V. (author)

    Published in:

    Publication date :

    2008


    Size :

    10 Seiten, 14 Quellen




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English





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