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A Random-Search Approach to Multicriterion Discrete Optimization

  • Andrzej Osyczka
  • Jerzy Montusiewicz
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Abstract

In the paper the random search method is used for generating a set of feasible solutions for general nonlinear programming models with discrete decision variables. From this set all Pareto optimal solutions are selected using the algorithm based on contact theorem. For most engineering design problems the set of Pareto optimal solutions obtained in this way is large and it is difficult and tiresome to make the right decision while looking through all of them. Thus a method for selecting a preferred subset of Pareto optimal solutions is proposed. The computer program for this method has been developed. The program has an interactive character and all optional parts of the method are run on the basis of a dialogue with the computer. Finally the real - life application example dealing with an optimum design of a gear set is discussed.

Keywords

Multicriteria optimization random search Pareto optimal set discrete model gear design 

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References

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Copyright information

© Springer-Verlag, Berlin Heidelberg 1994

Authors and Affiliations

  • Andrzej Osyczka
    • 1
  • Jerzy Montusiewicz
    • 2
  1. 1.Department of Mechanical EngineeringTechnical University of CracowCracowPoland
  2. 2.Department of Technology FoundationTechnical University of LublinLublinPoland

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