Metamodel Assisted Multiobjective Opti - Chair 11: ALGORITHM ...

48 downloads 52513 Views 415KB Size Report
Experi- mental studies on a theoretical test case and in airfoil design demonstrate the ... Moreover, they can be easily adapted to different application prob-.
Metamodel Assisted Multiobjective Optimisation Strategies and their Application in Airfoil Design      !"#

$  %&')(+*,- .0/1 *,2 34 56-278 % $ 596- (#  /9  :0/6;' 30'-?6/6@ 3BADC'C,EE9F34'-?9/6@GH IJ1/#* K  LM/12'",INPO4 2F'F7  27 6/9QA=@6'-?9/6@7 @6 Abstract

R=/S-9¯M\ A

6 F2b 7>¥ I ; !6@6/ *mH\'Ü=ÜìLÖ_ßQØIáaâ'Þ=ߗá,ìߗâèQÜêHߗáÖ_Û,ÜiäHÜÖ=Õ2äHØ ï'ÜèÕ2ê=ê_ßQê=Ö=ÜïÜë2ØIè—é,Ö_ßQØIáeê=Ö_ÞÕ2Ö=Üà!ç2åHôÛ#Ü â6Ø ß—áÖ=ê! ñ"$#2ñ&%'%(%ñ)$*HïÜâßQìÖ4âÞÜìßQê=ÜèQçÜLëIÕ è—é#Õ2Ö=Üïâ#Õ ÞÜáÖߗá#ï ßQë!ßQï1é,Õ!èQêHߗáaÖ_Û,Ünê=Ø è—é#Ö_ßQØ á ê_â,Õ!ìÜ+-,$/.,0#'1/+-231åyôÛ,Üê=Ü8ߗá,ï ßQë!ßQï1é,Õ!èQêÕIÞÜ>Ö=Øö6ÜìØ2ä4â,ÕIÞÜïiÖ=Ø0ÕIââ'ÞØ ã!ßQäHÕ2Ö=ÜèQçUÜë Õ è—é#Õ2Ö=Üï Ø'46ê_â'Þ=ߗá,àHߗá#ï ßQë!ßQï é#Õ!èQêí ñí # ÕIá,ïUí65!å37#Ø Þ>ÜÕ2ìWÛsÕIââÞØIã!ßQäÕ!Ö=Üߗá,ï1ßQë!ßQï é6ÕIèÖ_Û,Ü>ìØIáò,ï'Üá,ìÜ Üè—è—ß—â,ê=ØIß-|16 ; -6%_ -6 i/6 Idl5'-6 59 @6 -//#- I; 9Y u]j%7>¯\'6 0E'b6'6 @?Y 46 I@J /9@?; 6 >I 21/sYT @9/6 Y#*X([K„†…6aIb'Z \I‡ˆ[K\!VW‰„UDaK\Š_ a$Vd‹ŒU0T  M-@6/6 /i-9©ƒª–ª–«Œ¬m­®G¯ ­°²±0³´±'µ‚­¶!·>¯0¸¹·/®G¯ º'°–³!ºŠ»3¯0®G·D­m±µd®G±0³I­m¬†¼·D­¶!±$½6¾¿A¶Œ·ª²·/µL­†¶!¯'³!½ŠÀ!¯'®G­ ¬ ¶Œ±'Á𬭶!·Aª–°–³Œ·(¬‚¯0³Œ½ÃÂD±0®m®G·(¬À6±'³!½$°–³Œº:Àı0°–³I­m¬A±'µ"½$°–Å6·/®G·G³I­n®m«I³Œ¬AÂ(±0³Œ¬°²½I·/®G·(½Ãµƒ±0®­¶!·‚¯'¸ ·/®G¯¹º0Æ °–³Œº¯¹¬™ÁA·/ª–ªP¯¹¬™­¶Œ·Ç®G·D¬«Kª²­°–³ŒºÀ6±0°–³I­m¬(¾]¿n¶Œ·†®m°²º0¶I­š¶Œ¯0³Œ½À!¯'®G­™¬¶Œ±0Á‚¬†­¶Œ·¯'¸¹·/®G¯ º¹·(½À6±0°–³I­m¬ ±'µP­¶!·™ÈŒ¸ ·†®G·(¬«Iª²­m¬šÀI®G·(¬m·/³I­m·(½«Œ¬°–³!ºª–°–³Œ·(¬(¾ 6 Multiobjective Sphere Model

É^Ê^ËÊ ¢WÌSÍ6Îd¦†ÏG¦ Ê Ï†Ð Ë$Ê ¦Ñ-ÒK¥ÓÏ/¦ Ê Ï/¢WÔ}£ÏGÕ6¦ Ë Í}Í6Îd¢WÐ Ë$Ö ¢dÎd¢dÏm׈Ò$ÑAÏGÕ6¦Ô6¦'Ø Ë Í}Í6¥GÒ Ë Ð(ՊÏ/Õ6¦ÚÙIÛ Ü ¢d̊¦'Ô Ê ¢dÒIÔ Ë Î)̤}ÎWÏ/¢dÒ ÖIÝ ¦'Ð0ÏG¢dÞI¦ Ê Í6Õ6¦'¥/¦ÚÍ6¥/Ò Ö Îd¦'ÌßÕ Ë$栅 ¦'¦'ÔÐ0ÒIÔ Ê ¢ Ü ¦'¥G¦ Ü ¨ ê3ñ ê^î î é ê é ê àKá$âLãPä ¨–åçæ(è æ ̊¢dÔ3ï à â ãPä ¨–åðæ(è â Ù6ò–Û ä æ ̊¢dÔ âÙ ä áë íì áë ì æ ó†Õ6¢ Ê Ñ-¤6Ô}Ð'ÏG¢dÒIÔÕ ËôÊ^Ë Ð'ÒIÔ!ÞK¦'õö Ë ¥G¦'Ï/ÒÑ-¥/ÒIÔ!Ϲ÷™¡6¤}¥GÏGÕ}¦'¥GÌSÒI¥G¦ Ö ÒIÏ/ՊѤ6Ô6Ð'Ï/¢WÒKÔ Ê>Ë ¥G¦ Ü ¢ùøí¦0¥G¦'Ô!ÏG¢ ËôÖ Îd¦ Ë Ô Ü Ð'ÒKÔ!ÞI¦'õ3÷ É ÙIÛ Ü ¢dÌS¦'Ô Ê ¢dÒKÔ Ë Î Ê ¦ Ë ¥GÐ(Õ Ê Í Ë Ð'¦ˆÕ ËôÊ^Ö ¦'¦'ÔÐ(Õ6Ò Ê ¦'Ô¢dÔ

@6 U-a\' -sRVST>WSB#>P>

EYX[Z7\7X$]J^_a`bX[ccd%0"$,)

4RFO)1!*$%&!&eFS"$%/f[)##"$'.)K*$23,)  )FO%R43)19M

ga #hUi3 1 8  jkj lj Dm n+oLn lm n1lpPoRqbp&i3r0stoR lm1i3j m.uvn w 8sk x lpn1li3jGpPoRsyoLz lqln1l mOiRh{n1w r0 n#oRrQi!xk qvx  1jk|oLj}i3skn lr0lm+oLn li3jQwyo.~3 -zt  jGn m1n x€-Sw 8 1 m kqn1mOwyo.~3 -zy & j m  rQr‚oL lm xƒjG€l 8 uvm1w iR„Slj Dn wyoLnOn w 8j r8zt  …iLhJlj p&i3 1 pnKqliR„a  Ozyi j x m n1lr‚oRn1li3j malmS~3  1†0qliR„K ‡

n#oRn lm1n lpPoRqpir0syoL lm ij m€zt n„a  jQi3s n1rQlm+oRn1li3j…m1n #oRn &3l mSoR am kr0r‚oL lm &xHlj

 Dˆ QSw †Gm w iR„Љy m1nKiRhHoLqqn wyoLnKn w Q‹ ‘

“’}”O•7

‡ ŒŽS 

lmKr8 p#w}hoRm n1  Kn1wyoRjn1w

„Swk j‚oLs s ioRp#w lj -n w K–7oR 1 n i—hU 1i3jnP7ga†8 m lj -n wk HrQ n+oLr0ix qlnapPoRj

zy QhUk n wk  ˜oLpp ql  #oRn1 x€™k n1w  1r0i3 1 8n w Ds 1  m p 1  j lj „Sln wn1w Dr0 n#oRrQi!xk q lr0s 1iR~3 xQn w O &m  qln miRh7n w š›ln wkjn1w }œS

 ‹

‘

‡ ŒŽS 

 ’}”O•7

i3jkq†8m1qlwn ql†!

s  m1p  &j lj ™ln-m  rQm8n iGzy Dlr0sti3 1n+oLj!nOn1iž m1

n w —qiR„a  S xk3 Ozyi j x mOoRmSs 1  m ql pn1li3j}p 1ln  1ij€bSwkmSrQl3wnbzt H &Ÿ!skq oLlj xDz† n w  #¡v pnan wyoLnbn w qliR„{  7zti3 jkx8p ln & li3j8x 1l~3 mbn1w …m1 PoR 1p#w0ljn iOn w Skj Ÿs qli3 1 x li3j maiRhvn w m PoL p#wDm syoLp 37Sw mSoOzt n n1  {xk~  m1ln†¢iLh€m i3ql n1li3j mbij8n w O–7oR &n i hU ijnSpPoRjDzt ¢oRp#w l ~ x}oRj x£h[oRqlm Ois n lr‚o£¤ ¥&¦€p.oRj}zt Ko.~3i3lx &x€

t> Y9 < UF>(#9J1 I@?@6 \'/JI/6@6-

Suggest Documents