Blend Alpha Beta recombination for DE

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Description

Implements the "/blxAlphaBeta" (Blend Alpha Beta) recombination for the ExpDE framework

Usage

1

Arguments

X

population matrix (original)

M

population matrix (mutated)

recpars

recombination parameters (see Recombination parameters for details)

Value

Matrix U containing the recombined population

Recombination Parameters

The recpars parameter contains all parameters required to define the recombination. recombination_blxAlpha() understands the following fields in recpars:

  • alpha : extrapolation parameter for 'best' parent vector.
    Accepts real value 0 <= alpha <= 0.5.

  • beta : extrapolation parameter for 'worst' parent vector.
    Accepts real value 0 <= beta <= 0.5.

@section Warning: This recombination operator evaluates the candidate solutions in M, which adds an extra popsize evaluations per iteration.

References

F. Herrera, M. Lozano, A. M. Sanchez, "A taxonomy for the crossover operator for real-coded genetic algorithms: an experimental study", International Journal of Intelligent Systems 18(3) 309-338, 2003.