makeViennetFunction {smoof} | R Documentation |
Viennet function generator
Description
The Viennet test problem VNT is designed for three objectives only. It has
a discrete set of Pareto fronts. It is defined by the following formulae.
f(x)=(f1(x),f2(x,f3(x)
with
f1(x)=0.5(x12+x22)+sin(x12+x22)
f2(x)=8(3x1+2x2+4)2+27(x1−x2+1)2+15
f3(x)=x12+x22+11−1.1exp(−(x11+x22))
with box constraints −3≤x1,x2≤3
.
Usage
makeViennetFunction()
Value
[smoof_multi_objective_function
]
References
Viennet, R. (1996). Multicriteria optimization using a genetic algorithm for determining the
Pareto set. International Journal of Systems Science 27 (2), 255-260.
[Package
smoof version 1.6.0.3
Index]