stochastic ranking for constrained evolutionary optimization - tec311r
TRANSCRIPT
-
8/20/2019 Stochastic Ranking for Constrained Evolutionary Optimization - Tec311r
1/18
St oc hast ic Rank ing f or Const r ainedEvol ut ionar y Opt imizat ion
Thomas Philip Runarsson and Xin Yao
Abstract
K eywor ds
I . Int r oduct ion
x x
x
x x
x
x x x
-
8/20/2019 Stochastic Ranking for Constrained Evolutionary Optimization - Tec311r
2/18
-
8/20/2019 Stochastic Ranking for Constrained Evolutionary Optimization - Tec311r
3/18
-
8/20/2019 Stochastic Ranking for Constrained Evolutionary Optimization - Tec311r
4/18
-
8/20/2019 Stochastic Ranking for Constrained Evolutionary Optimization - Tec311r
5/18
-
8/20/2019 Stochastic Ranking for Constrained Evolutionary Optimization - Tec311r
6/18
Aver age per cent age f easibl e individual s in t he f inal popul at ion as a f unct ion of ( ) andt est f unct ion pr esent ed in A ppendix A .
g01
g02
g03
g04
g05
g06
g07
g08
g09
g10
g11
g12
g13
I I I. Ex per iment al St udies
xx
xx x
-
8/20/2019 Stochastic Ranking for Constrained Evolutionary Optimization - Tec311r
7/18
x
x
x
g03 g05 g11
g12 g13
-
8/20/2019 Stochastic Ranking for Constrained Evolutionary Optimization - Tec311r
8/18
Exper iment al r esul t s on t hir t een benchmar k f unct ions using ES wit h st ochast ic r anking ( ).independent r uns wer e car r ied out .
fcn
g01
g02
g03
g04
g05
g06
g07
g08
g09
g10
g11
g12
g13
Compar ison bet ween our (indic at ed by RY ) and K oziel and M ichal ewic z' s (indicat ed by K M [14])al gor it hms. For pr obl em , t he r esul t was t aken f r om M et hod # 4 in [15]. T he t wo val ues in t he
`M ean' c ol umn f or pr obl em r epr esent medians.
fcng01
g02
g03
g04
g05
g06
g07
g08
g09
g10
g11
g12
g13
-
8/20/2019 Stochastic Ranking for Constrained Evolutionary Optimization - Tec311r
9/18
Exper iment al r esul t s on t hir t een benchmar k f unct ions using ES wit h st ochast ic r anking ( ).independent r uns wer e car r ied out .
fcn
g01
g02
g03
g04
g05
g06
g07
g08
g09
g10
g11
g12
g13
Ex per iment al r esul t s on t hir t een benchmar k f unct ions using ES wit h st ochast ic r anking( ) . i ndepend ent r uns w er e c ar r ied o ut . ) Based on t he f easibl e sol ut ions f ound out
o f t he r uns.
fcn
g01
g02
g03g04
g05
g06
g07
g08
g09
g10
g11
g12
g13
-
8/20/2019 Stochastic Ranking for Constrained Evolutionary Optimization - Tec311r
10/18
Exper iment al r esul t on f unct ion using ES wit h st ochast ic r anking and É .
Exper iment al r esul t s using t he dynamic penal t y met hod of [12] wit h . T he subscr ipt in t hef unct ion name indicat es t he number of f easibl e sol ut ions f ound if it was bet ween and incl usive.
\ { " means no f easibl e sol ut ions wer e f ound.
fcn
g01
g02
g03
g04
g05
g06
g07
g08
g09
g10
g11
g12
g13
Ex per iment al r esul t s using t he dyn amic penal t y met hod of [12] w it h 2. \ { " means no
f easibl e sol ut ion s w er e f oun d.
fcn
g01
g02
g03
g04
g05
g06
g07
g08
g09
g10
g11
g12
g13
-
8/20/2019 Stochastic Ranking for Constrained Evolutionary Optimization - Tec311r
11/18
IV . Concl usion
Acknowl edgement
-
8/20/2019 Stochastic Ranking for Constrained Evolutionary Optimization - Tec311r
12/18
Ref er ences
-
8/20/2019 Stochastic Ranking for Constrained Evolutionary Optimization - Tec311r
13/18
Appendix
I. T est Funct ion Suit e
x
x
x
xx
x
x
x
x
x
xx
x
x
x
x
-
8/20/2019 Stochastic Ranking for Constrained Evolutionary Optimization - Tec311r
14/18
x
x
x
x
x
x
x
x
x
x
xx
x
x
x
x
x
x
x x
-
8/20/2019 Stochastic Ranking for Constrained Evolutionary Optimization - Tec311r
15/18
x
x
x
x x
x
x
x
x
x
x
xx
x
xx
x
x
x
x
x
-
8/20/2019 Stochastic Ranking for Constrained Evolutionary Optimization - Tec311r
16/18
-
8/20/2019 Stochastic Ranking for Constrained Evolutionary Optimization - Tec311r
17/18
x
x
x x
x
x
x
x
xx
-
8/20/2019 Stochastic Ranking for Constrained Evolutionary Optimization - Tec311r
18/18