A new OptimizationPreservingOperator applied to global optimization

Purpose To introduce OptimizationPreservingOperators OPOs, which are operators that are defined on classes of real functions that depend on a single variable, and allow us to eliminate local optima and to preserve global optima. Designmethodologyapproach Outline a new method to build OPOs. These are...

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Bibliographic Details
Published in:Kybernetes 2005-08, Vol.34 (7/8), p.1112-1124
Main Authors: Konfe, Balira O., Cherruault, Yves, Some, Blaise, Benneouala, Titem
Format: Article
Language:English
Subjects:
Cybernetics
Mathematical programming
Modelling
Optimization techniques
Online Access:Get full text
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Summary:Purpose To introduce OptimizationPreservingOperators OPOs, which are operators that are defined on classes of real functions that depend on a single variable, and allow us to eliminate local optima and to preserve global optima. Designmethodologyapproach Outline a new method to build OPOs. These are introduced as OPO and lead to a new approach for solving global optimization problems. Findings It was found that classical discretization methods for obtaining optimum of one variable function was too timeconsuming. The simple method introduced provided solutions to the test functions chosen as examples. The solutions were provided in a short time. Research limitationsimplications Provides new tools for mathematical programming and in particular the global optimization problems. The OPO introduced innovative technique for solving such problems. Practical implications OPO produces solutions to global optimization problems in a much improved time. The algorithm derived, and the steps for its operation proved on implementation, the efficiency of the new method. This was demonstrated by numerical results for selected functions obtained using microcomputer systems. Originalityvalue Provides new way of solving global optimization problems.
ISSN:0368-492X
DOI:10.1108/03684920510605920