An Improved Hybrid Genetic Algorithm with a New Local Search Procedure

Wan, Wen; Birch, Jeffrey B.

An Improved Hybrid Genetic Algorithm with a New Local Search Procedure

dc.contributor.author	Wan, Wen	en
dc.contributor.author	Birch, Jeffrey B.	en
dc.contributor.department	Statistics	en
dc.date.accessioned	2017-09-18T09:44:31Z	en
dc.date.available	2017-09-18T09:44:31Z	en
dc.date.issued	2013-10-07	en
dc.date.updated	2017-09-18T09:44:31Z	en
dc.description.abstract	One important challenge of a hybrid genetic algorithm (HGA) (also called memetic algorithm) is the tradeoff between global and local searching (LS) as it is the case that the cost of an LS can be rather high. This paper proposes a novel, simplified, and efficient HGA with a new individual learning procedure that performs a LS only when the best offspring (solution) in the offspring population is also the best in the current parent population. Additionally, a new LS method is developed based on a three-directional search (TD), which is derivative-free and self-adaptive. The new HGA with two different LS methods (the TD and Neld-Mead simplex) is compared with a traditional HGA. Four benchmark functions are employed to illustrate the improvement of the proposed method with the new learning procedure. The results show that the new HGA greatly reduces the number of function evaluations and converges much faster to the global optimum than a traditional HGA. The TD local search method is a good choice in helping to locate a global “mountain” (or “valley”) but may not perform the Nelder-Mead method in the final fine tuning toward the optimal solution.	en
dc.description.version	Published version	en
dc.format.mimetype	application/pdf	en
dc.identifier.citation	Wen Wan and Jeffrey B. Birch, “An Improved Hybrid Genetic Algorithm with a New Local Search Procedure,” Journal of Applied Mathematics, vol. 2013, Article ID 103591, 10 pages, 2013. doi:10.1155/2013/103591	en
dc.identifier.doi	https://doi.org/10.1155/2013/103591	en
dc.identifier.uri	http://hdl.handle.net/10919/78974	en
dc.language.iso	en	en
dc.publisher	Hindawi	en
dc.rights	Creative Commons Attribution 4.0 International	en
dc.rights.holder	Copyright © 2013 Wen Wan and Jeffrey B. Birch. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.	en
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	en
dc.title	An Improved Hybrid Genetic Algorithm with a New Local Search Procedure	en
dc.title.serial	Journal of Applied Mathematics	en
dc.type	Article - Refereed	en
dc.type.dcmitype	Text	en