Biomedical Engineering Reference
In-Depth Information
Table b.2
Constrained.Test.Functions
TestFunctions
(NatureofTrue
ParetoFront)
Variable
Bounds
ObjectiveFunctions
Constraints
DEB.(connected)
x
∈
[0.1, 1.0]
f x
( )
=
x
( )
=
+
9
≥
6
g x
x
x
1
1
1
2
1
x
∈
[0.5]
( )
= −
+
9
≥
1
1
+
x
g x
x
x
2
2
1
2
f x
( )
=
2
x
1
BEL.(connected)
x
∈
[0, 5]
f x
( )
= −
2
x
+
x
( )
= −
+
≤
1
g x
x
x
1
1
2
1
1
2
x
∈
[0, 3]
f x
( )
=
2
x
+
x
( )
=
+
≤
7
g x
x
x
2
1
2
2
1
2
SRIN.
(connected)
.
2
2
2
2
x
i
∈ −
20, 20
f x
( )
=
(
x
−
2)
+
(
x
−
1)
+
2
( )
=
+
≤
225
g x
x
x
1
1
2
1
1
2
for.
1, 2
2
f x
( )
=
9
x
−
(
x
−
1)
( )
=
−
3
≤ −
10
g x
x
x
2
1
2
2
1
2
i
=
TAN.
(disconnected.
and.
convoluted)
.
f x
( )
=
x
2
2
x
i
∈
0,
π
( )
= −
−
+
1
g x
x
x
1
1
1
1
2
for.
1, 2
f x
( )
=
x
2
2
x
x
i
=
1
2
+
0.1cos 16arctan
≤
0
2
g x
( )
=
(
x
−
0.5)
2
1
2
+
(
−
0.5)
≤
0.5
x
2
BINH.(convex)
.
2
2
2
2
x
i
∈ −
15, 30
f x
( )
=
4
x
+
4
x
( )
=
(
−
5)
+
≤
25
g x
x
x
1
1
2
1
1
2
2
2
for
1, 2
f x
( )
=
(
x
−
5)
+
(
x
−
5)
2
2
g x
( )
= −
(
x
−
8)
+
(
x
+
3)
≤ −
7.7
2
1
2
2
1
2
i
=
Source:
Data
from.Chan,.T..M.,.Man,.K..F.,.Kwong,.S.,.Tang,.K..S.,.A.jumping.gene.paradigm.for.
evolutionary.
multiobjective.
optimization,.
IEEE
Transactions
on
Evolutionary
Computation
,.12(2),.143-159,.2008.
Search WWH ::
Custom Search