Gradient-Based Cuckoo Search for Global Optimization

One of the major advantages of stochastic global optimization methods is the lack of the need of the gradient of the objective function. However, in some cases, this gradient is readily available and can be used to improve the numerical performance of stochastic optimization methods specially the qu...

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Main Authors: Seif-Eddeen K. Fateen, Adrián Bonilla-Petriciolet
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2014/493740
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spelling doaj-37b0ee0da1844bf7bb684385a26c283e2020-11-24T22:49:12ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472014-01-01201410.1155/2014/493740493740Gradient-Based Cuckoo Search for Global OptimizationSeif-Eddeen K. Fateen0Adrián Bonilla-Petriciolet1Department of Chemical Engineering, Cairo University, Giza 12316, EgyptDepartment of Chemical Engineering, Aguascalientes Institute of Technology, 20256 Aguascalientes, AGS, MexicoOne of the major advantages of stochastic global optimization methods is the lack of the need of the gradient of the objective function. However, in some cases, this gradient is readily available and can be used to improve the numerical performance of stochastic optimization methods specially the quality and precision of global optimal solution. In this study, we proposed a gradient-based modification to the cuckoo search algorithm, which is a nature-inspired swarm-based stochastic global optimization method. We introduced the gradient-based cuckoo search (GBCS) and evaluated its performance vis-à-vis the original algorithm in solving twenty-four benchmark functions. The use of GBCS improved reliability and effectiveness of the algorithm in all but four of the tested benchmark problems. GBCS proved to be a strong candidate for solving difficult optimization problems, for which the gradient of the objective function is readily available.http://dx.doi.org/10.1155/2014/493740
collection DOAJ
language English
format Article
sources DOAJ
author Seif-Eddeen K. Fateen
Adrián Bonilla-Petriciolet
spellingShingle Seif-Eddeen K. Fateen
Adrián Bonilla-Petriciolet
Gradient-Based Cuckoo Search for Global Optimization
Mathematical Problems in Engineering
author_facet Seif-Eddeen K. Fateen
Adrián Bonilla-Petriciolet
author_sort Seif-Eddeen K. Fateen
title Gradient-Based Cuckoo Search for Global Optimization
title_short Gradient-Based Cuckoo Search for Global Optimization
title_full Gradient-Based Cuckoo Search for Global Optimization
title_fullStr Gradient-Based Cuckoo Search for Global Optimization
title_full_unstemmed Gradient-Based Cuckoo Search for Global Optimization
title_sort gradient-based cuckoo search for global optimization
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2014-01-01
description One of the major advantages of stochastic global optimization methods is the lack of the need of the gradient of the objective function. However, in some cases, this gradient is readily available and can be used to improve the numerical performance of stochastic optimization methods specially the quality and precision of global optimal solution. In this study, we proposed a gradient-based modification to the cuckoo search algorithm, which is a nature-inspired swarm-based stochastic global optimization method. We introduced the gradient-based cuckoo search (GBCS) and evaluated its performance vis-à-vis the original algorithm in solving twenty-four benchmark functions. The use of GBCS improved reliability and effectiveness of the algorithm in all but four of the tested benchmark problems. GBCS proved to be a strong candidate for solving difficult optimization problems, for which the gradient of the objective function is readily available.
url http://dx.doi.org/10.1155/2014/493740
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AT adrianbonillapetriciolet gradientbasedcuckoosearchforglobaloptimization
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