makeDTLZ1Function: DTLZ1 Function (family)

Description Usage Arguments Value References

View source: R/mof.dtlz1.R

Description

Builds and returns the multi-objective DTLZ1 test problem.

The DTLZ1 test problem is defined as follows:

Minimize f[1](X) = 1/2 * x[1] * x[2] * ... * x[M-1] * (1 + g(XM))

Minimize f[2](X) = 1/2 * x[1] * x[2] * ... * (1 - x[M-1]) * (1 + g(XM))

...

Minimize f[M-1](X) = 1/2 * x[1] * (1 - x[2]) * (1 + g(XM))

Minimize f[M](X) = 1/2 * (1 - x[1]) * (1 + g(XM))

with 0 <= x[i] <= 1, for i=1,2,...,n

where g(XM) = 100 * (|XM| + sum{x[i] in XM} {(x[i] - 0.5)^2 - cos(20 * pi * (x[i] - 0.5))})

Usage

1
makeDTLZ1Function(dimensions, n.objectives)

Arguments

dimensions

[integer(1)]
Number of decision variables.

n.objectives

[integer(1)]
Number of objectives.

Value

[smoof_multi_objective_function]

References

K. Deb and L. Thiele and M. Laumanns and E. Zitzler. Scalable Multi-Objective Optimization Test Problems. Computer Engineering and Networks Laboratory (TIK), Swiss Federal Institute of Technology (ETH) Zurich, 112, 2001



smoof documentation built on May 20, 2017, 5:35 a.m.
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