A Constraint Method in Nonlinear Multi-Objective Optimization

Gabriele Eichfelder ()
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Gabriele Eichfelder: University of Erlangen-Nuremberg

A chapter in Multiobjective Programming and Goal Programming, 2009, pp 3-12 from Springer

Abstract: 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.

Keywords: Adaptive parameter control; Approximation; Multiobjective optimization; Scalarization; Sensitivity (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/978-3-540-85646-7_1

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