Simulated binary crossover

Source: R/variation_sbx.R

SBX implementation for the MOEA/D

variation_sbx(X, P, etax, pc = 1, eps = 1e-06, ...)

Arguments

X

Population matrix

P

Matrix of probabilities of selection for variation (created by define_neighborhood()).

etax

spread constant

pc

variable-wise probability of recombination

eps

smallest difference considered for recombination

...

other parameters (included for compatibility with generic call)

Value

Matrix X' containing the recombined population

Details

This R implementation of the Simulated Binary Crossover reproduces the C code implementation available in the R package emoa 0.5-0, by Olaf Mersmann. The differences between the present version and the original one are:

  • The operator is performed on the variables scaled to the [0, 1] interval, which simplifies the calculations.

  • Calculations are vectorized over variables, which also simplifies the implementation.

References

Deb, K. and Agrawal, R. B. (1995) Simulated binary crossover for continuous search space. Complex Systems, 9 115-148

F. Campelo, L.S. Batista, C. Aranha (2020): The MOEADr Package: A Component-Based Framework for Multiobjective Evolutionary Algorithms Based on Decomposition. Journal of Statistical Software doi:10.18637/jss.v092.i06

Olaf Mersmann (2012). emoa: Evolutionary Multiobjective Optimization Algorithms. R package version 0.5-0.
http://CRAN.R-project.org/package=emoa