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A Constraint Method in Nonlinear Multi-Objective Optimization

In: Multiobjective Programming and Goal Programming

Author

Listed:
  • Gabriele Eichfelder

    (University of Erlangen-Nuremberg)

Abstract

We present a new method for generating a concise and representative approximation of the (weakly) efficient set of a nonlinear multi-objective optimization problem. For the parameter dependent ε-constraint scalarization an algorithm is given which allows an adaptive controlling of the parameters—the upper bounds—based on sensitivity results such that equidistant approximation points are generated. The proposed method is applied to a variety of test-problems.

Suggested Citation

  • Gabriele Eichfelder, 2009. "A Constraint Method in Nonlinear Multi-Objective Optimization," Lecture Notes in Economics and Mathematical Systems, in: Vincent Barichard & Matthias Ehrgott & Xavier Gandibleux & Vincent T'Kindt (ed.), Multiobjective Programming and Goal Programming, pages 3-12, Springer.
    • Handle: RePEc:spr:lnechp:978-3-540-85646-7_1
    DOI: 10.1007/978-3-540-85646-7_1
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    Cited by:

    1. Stacey Faulkenberg & Margaret Wiecek, 2012. "Generating equidistant representations in biobjective programming," Computational Optimization and Applications, Springer, vol. 51(3), pages 1173-1210, April.

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