Evolutionary search for minimal elements in partially ordered finite sets

  • Günter Rudolph
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1447)


The task of finding minimal elements of a partially ordered set is a generalization of the task of finding the global minimum of a real-valued function or of finding Pareto-optimal points of a multicriteria optimization problem. It is shown that evolutionary algorithms are able to converge to the set of minimal elements in finite time with probability one, provided that the search space is finite, the time-invariant variation operator is associated with a positive transition probability function and that the selection operator obeys the so-called ‘elite preservation strategy.’


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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Günter Rudolph
    • 1
  1. 1.Fachbereich InformatikUniversität DortmundDortmundGermany

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