A fuzzy-controlled Hooke-Jeeves optimization algorithm

Document Type

Article

Publication Date

3-28-2011

Publication Title

Engineering Optimization

Volume

43

Issue

10

First page number:

1043

Last page number:

1062

Abstract

This article presents an approach to enhance the Hooke-Jeeves optimization algorithm through the use of fuzzy logic. The Hooke-Jeeves algorithm, similar to many other optimization algorithms, uses predetermined fixed parameters. These parameters do not depend on the objective function values in the current search region. In the proposed algorithm, several fuzzy logic controllers are integrated at the various stages of the algorithm to create a new optimization algorithm: Fuzzy-Controlled Hooke-Jeeves algorithm. The results of this work show that incorporating fuzzy logic in the Hooke-Jeeves algorithm can improve the ability of the algorithm to reach an extremum in different typical optimization test cases and design problems. Sensitivity analysis of the variables of the algorithm is also considered.

Keywords

Adaptive optimization search; Fuzzy logic; Hooke-Jeeves algorithm; Mathematical optimization

Disciplines

Acoustics, Dynamics, and Controls | Applied Mathematics | Computer-Aided Engineering and Design | Dynamics and Dynamical Systems

Language

English

Permissions

Use Find in Your Library, contact the author, or use interlibrary loan to garner a copy of the article. Publisher copyright policy allows author to archive post-print (author’s final manuscript). When post-print is available or publisher policy changes, the article will be deposited

Publisher Citation

A fuzzy-controlled Hooke-Jeeves optimization algorithm Deepak Sankar Somasundaram, Mohamed B. Trabia Engineering Optimization Vol. 43, Iss. 10, 2011

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