Abstract

Evolution strategies --- a stochastic optimization method originally designed for single criterion problems --- have been modified in such a way that they can also tackle multiple criteria problems. Instead of computing only one efficient solution interactively, a decision maker can collect as many members of the Pareto set as needed before making up his mind. Apart from this feature one could also reflect upon the algorithm as a simple model of biological evolution. Following this idea one might emphasize the algorithm's capability of self--adapting its parameters. Furthermore, the effect of polyploid individuals corresponds in both `worlds'. 1 Introduction It has become increasingly obvious that the optimization under a single scalar--valued criterion --- often a monetary one --- fails to reflect the variety of aspects in a world getting more and more complex. Although V. Pareto [4] laid the mathematical foundations already about a hundred years ago the existing tools for multiple c...

Citations

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1	Modellbildung und Steuerung mit Hilfe der - Peschel - 1980