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The niching method for obtaining global optima and local optima in multimodal functions
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AbstractSometimes it is desirable to know the secondary candidates as well as the global optima of multimodal functions. The Deterministic Crowding (DC) method is an effective type of genetic algorithm for discovering multiple global optima, but it has difficulties discovering local optima. An improvement on this method called “Dispersing Deterministic Crowding” (DDC) is therefore proposed which encourages dispersion of individuals and creation of species within the population in order to increase the discovery of local optima, as well as of global optima. A method for preferential identification of solutions with a fitness exceeding some demanded level is also developed. The performance of DDC is compared with those of other niching methods, DC, sharing, RTS, GA with tabu search, and the immune algorithm, to show its effectiveness. © 2003 Wiley Periodicals, Inc. Syst Comp Jpn, 34(11): 30–42, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/scj.10480
Title: The niching method for obtaining global optima and local optima in multimodal functions
Description:
AbstractSometimes it is desirable to know the secondary candidates as well as the global optima of multimodal functions.
The Deterministic Crowding (DC) method is an effective type of genetic algorithm for discovering multiple global optima, but it has difficulties discovering local optima.
An improvement on this method called “Dispersing Deterministic Crowding” (DDC) is therefore proposed which encourages dispersion of individuals and creation of species within the population in order to increase the discovery of local optima, as well as of global optima.
A method for preferential identification of solutions with a fitness exceeding some demanded level is also developed.
The performance of DDC is compared with those of other niching methods, DC, sharing, RTS, GA with tabu search, and the immune algorithm, to show its effectiveness.
© 2003 Wiley Periodicals, Inc.
Syst Comp Jpn, 34(11): 30–42, 2003; Published online in Wiley InterScience (www.
interscience.
wiley.
com).
DOI 10.
1002/scj.
10480.
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