A criterion for an approximation global optimal solution based on the filled functions | Zendy

L. C. L. Yuan | Zendy; Zhongping Wan | Zendy; Qiuhua Tang | Zendy

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A criterion for an approximation global optimal solution based on the filled functions

Author(s) -

L. C. L. Yuan,

Zhongping Wan,

Qiuhua Tang

Publication year - 2015

Publication title -

journal of industrial and management optimization

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.325

H-Index - 32

eISSN - 1553-166X

pISSN - 1547-5816

DOI - 10.3934/jimo.2016.12.375

Subject(s) - class (philosophy) , mathematical optimization , point (geometry) , function (biology) , computer science , mathematics , global optimization , artificial intelligence , geometry , evolutionary biology , biology

In this paper, a new definition of the filled function is given. Based on the new definition, a new class of filled functions is constructed, and the properties of the new filled functions are analysed and discussed. Moreover, according to the new class of filled functions, a criterion is given to decide whether the point we have obtained is an approximate global optimal solution. Finally, a global optimization algorithm based on the new class of filled functions is presented. The implementation of the algorithm on several test problems is reported with numerical results.

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