CauchySF: Cauchy distribution based scale factor.

In xegaDfGene: Gene Operations for Real-Coded Genes

Cauchy distribution based scale factor.

Description

The scale factors is Cauchy distributed with

1. location parameter 1-0.6*t/T and

2. scale parameter 0.7-0.4(1-t/T)).

Usage

CauchySF(lF)

Arguments

lF	Local configuration.

Details

The parameters are constant functions defined in lF:

1. t is the current iteration (lF$cGeneration).

2. T is the total number of generations (lF$Generations).

The scale factor is bounded from above by 1. For SF<0, The scale factor is set to abs(rnorm(1, 0, 0.2)).

For details, see section 3 of Sharma et al. (2019), pp. 929-931 or Fan et al. (2017), pp. 6844-6845.

Value

A scale factor.

References

Sharma, Prashant; Sharma, Harish; Kumar, Sandeep; Bansal, Jagdish Chand (2019): A Review on Scale Factor Strategies in Differential Evolution Algorithm. pp. 925-934. In: Bansal, Jagdish Chand et al. (2019) Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, Vol. 817. Springer, Singapore, 2019. (ISBN:978-981-13-1594-7)

Fan, Qinqin; Yan, Xuefeng; Xue, Yu (2017) Prior knowledge guided differential evolution, Soft Computing 21(22), 6841 - 6858. (doi:10.1007/s00500-016-2235-6)

See Also

Other Scale Factor: ConstScaleFactor(), DETVSF(), FitnessBasedSelfAdaptiveSF(), RandomGaussianSF(), UniformRandomScaleFactor(), UniformRandomScaleFactorDERSF()

Examples

parm<-function(x){function() {return(x)}}
lF<-list()
lF$Generations<-parm(4)
lF$cGeneration<-parm(0)
CauchySF(lF)
lF$cGeneration<-parm(1)
CauchySF(lF)
lF$cGeneration<-parm(2)
CauchySF(lF)
lF$cGeneration<-parm(3)
CauchySF(lF)
lF$cGeneration<-parm(4)
CauchySF(lF)

xegaDfGene documentation built on Aug. 22, 2025, 5:12 p.m.