뗚26뻭뗚7웚볆쯣믺펦폃퇐뺿쓪7퓂ꆡ믹폚뮮럖뫍맂솢뗣볬닢뗄짳볆횤뻝믱좡퇐뺿3헅쿾캰1,킻ꆡ잿1,돂ꆡ캰2(1.쓏뺩몽뿕몽쳬듳톧탅쾢뿆톧폫벼쫵톧풺,쓏뺩210016;2.쓏뺩짳볆톧풺,쓏뺩210029)햪ꆡ튪:캪쇋룄뷸뒫춳뗄뷶뷶쫇냑쫖릤짳볆쇷돌볆쯣믺뮯뗄볆쯣믺뢨훺짳볆랽램뫍랢쿖놻짳볆쫽뻝훐뗄틾님탅쾢뫍룼뛠뗄짳볆횤뻝,쳡돶쇋튻훖쿈뛔몣솿쫽뻝뷸탐쫽뻝뮮럖,좻뫳닉폃룄뷸뗄맂솢뗣볬닢벼쫵뗄짳볆횤뻝믱좡랽램ꆣ룃랽램쫗쿈샻폃룄뷸솣ퟓ좺쯣램뛔놻짳볆쫽뻝뷸탐뮮럖폅뮯,헒떽룟쓚뻛ꆢ뗍뫏뗄쫽뻝뮮럖;좻뫳쪹폃믹폚뻠샫뗄룄뷸맂솢뗣볬닢벼쫵,닩헒돶맂솢뗣쫽뻝;ퟮ뫳춨맽럖컶랢쿖짳볆쿟쯷ꆣ춨맽쿠맘뛔뇈쪵퇩뇭쏷,룃랽램틗랢쿖몣솿놻짳볆쫽뻝훐뗄틾님탅쾢,맂솢뗣볬닢킧싊튲폐뫜듳쳡룟,듓뛸쳡룟쇋짳볆킧싊ꆣ맘볼듊:볆쯣믺뢨훺짳볆;맂솢뗣볬닢;솣ퟓ좺쯣램;쫽뻝뮮럖;보횦벼쫵훐춼럖샠뫅:TP31115ꆡꆡꆡ컄쿗뇪횾싫:Aꆡꆡꆡ컄헂뇠뫅:100123695(2009)0722495204doi: 1994-2010 China Academic Journal Electronic Publishing House. All rights reserved.
ꆤ2496ꆤ볆쯣믺펦폃퇐뺿ꆡ뗚26뻭뗚뛾샠닺짺뗄맂솢뗣쫽뻝ꆣ쯷[7],틲듋쯣램쿠뛔볲떥,쫕솲쯙뛈뿬ꆣ쒿잰,솣ퟓ좺폅뮯쯣램쿖폐뗄맂솢뗣볬닢랽램듳훂뿉틔럖캪쇹훖샠탍,벴믹폚춳틑뺭놻맣랺펦폃떽몯쫽폅뮯ꆢ짱뺭췸싧통솷뫍쒣뫽쾵춳뿘훆뗈볆ꆢ짮뛈ꆢ뻠샫ꆢ뻛샠ꆢ쏜뛈뫍맘솪뗄랽램[5]ꆣ평폚놻짳볆쫽뻝쇬폲[8]ꆣ럇뎣엓듳,횱뷓폃뒫춳뗄맂솢뗣볬닢랽램킧싊믡뫜뗍,놾컄쳡PSO뷢뻶폅뮯컊쳢쪱,쎿룶폅뮯컊쳢뗄뷢돆횮캪솣ퟓ,쎿돶쇋튻훖믹폚쫽뻝뮮럖뫍맂솢뗣볬닢뗄짳볆횤뻝믱좡쒣탍ꆣ룶솣ퟓ뻹폐튻룶놻폅뮯뗄몯쫽뻶뚨뗄쫊펦횵틔벰ퟔ벺뗄쯙뛈웤풭샭죧춼1쯹쪾ꆣ뫍캻훃,폃살뻶뚨량탐뗄랽쿲뫍뻠샫ꆣ쯣램춨맽뗼듺톰헒ퟮ폅뷢ꆣ퓚쎿듎뗄뗼듺훐,솣ퟓ춨맽룺ퟙ솽룶벫횵놾짭쯹헒떽뗄ퟮ폅뷢pbest뫍쒿잰쯹헒떽뗄좫뻖벫횵gbest살룼탂ퟔ벺ꆣ떱헒떽헢솽룶ퟮ폅횵쪱,솣ퟓ룹뻝쪽(1)살룼탂ퟔ벺뗄쯙뛈뫍캻훃:k+1v=ꛘkv+cii1r1(pbest-pk)+ci2r2(gbest-pk)i(1)pk+1=pk+k+1viii웤훐k:v뇭쪾뗚k듎뗼듺훐솣ퟓk+1i뗄떱잰쯙뛈;v뇭쪾솣ퟓiii룼탂뫳뗄쯙뛈;ꛘ캪맟탔틲ퟓ;c1뫍c2캪톧쾰틲ퟓ;r1뫍r2캪쟸볤[0,1]짏뗄쯦믺쫽;pbest뇭쪾솣ퟓi뗄ퟮ폅횵;gbest뇭쪾솣놾컄쳡돶뗄믹폚쫽뻝뮮럖뫍맂솢뗣볬닢벼쫵뗄짳볆횤뻝ퟓ좺좫뻖ퟮ폅횵k;p뇭쪾솣ퟓi퓚뗚k듎뗼듺훐뗄캻훃k+1;p뇭ii믱좡랽램뗄풭샭뿉볲쫶죧쿂쪾솣ퟓi룼탂뫳뗄캻훃ꆣ:평틔짏뿉횪,뒫춳PSO쯣램횻쫊폚솬탸뿕볤컊쳢뗄쟳뷢,a)냑놻짳볆쫽뻝춨맽쫽뻝뷓뿚뗷죫떽쫽뻝뮮럖뫍맂솢뗣볬닢쾵춳훐살ꆣ듋뒦뗄쫽뻝횸뗄쫇뺭맽쿻돽훘뢴볇슼ꆢ쟥돽듭늻쫊폚샫즢뿕볤컊쳢뗄쟳뷢ꆣ헫뛔샫즢뿕볤컊쳢뗄폅뮯쟳뷢,컳쫽뻝틔벰뇪ힼ뮯쫽뻝룱쪽뗈쫽뻝쟥샭뫳뗄쫽횵탍쫽뻝,죧Kennedy뗈죋[8]폖쳡돶쇋뛾뷸훆PSO쯣램ꆣ룃쯣램뗄믹놾쮼듋뿉틔쳡룟맂솢뗣볬닢뗄ힼ좷뛈ꆣ쿫쫇붫캻훃뗄쎿튻캬럖솿쿞훆캪0믲1,뛸쯙뛈뗄쎿튻캬럖솿뇭쪾뛔펦캻훃럖솿좡0믲1뗄룅싊ꆣb)뛔틑뺭뒦샭뫃뗄쫽뻝뷸탐쫽뻝뮮럖ꆣ퓚듋뮷뷚훐,톡퓱폅탣쯣램뛔쫽뻝뷸탐럖ퟩ뮮럖,ퟮ뫳뗃돶룟쓚뻛뗍뫏뗄쫽1ꆡ룄뷸뗄쯣램뻝뮮럖살,틔쳡룟맂솢뗣볬닢뗄킧싊ꆣ쫽뻝뗄뮮럖쪵훊짏뻍쫇뻶뚨쒳룶쫽뻝펦룃실퓚쒳룶ퟓ쫽c)퓙뛔뮮럖뗄쎿ퟩ쫽뻝럖뇰뷸탐맂솢뗣볬닢,횱떽뛔쎿뻝벯뫏뗄맽돌,쫇튻룶샫즢뿕볤컊쳢뗄쟳뷢맽돌ꆣ뛾뷸훆PSOퟩ뗄쫽뻝뚼뷸탐볬닢횮뫳,냑볬닢돶뗄맂솢뗣쫽뻝럅죫맂솢뗣쯣램늻쓜횱뷓폃폚쫽뻝뗄뮮럖,틲캪쫽뻝쯹퓚뗄캻훃늻쫇0믲쫽뻝뿢훐ꆣ1뗄컊쳢,뛸쫇쯹퓚뗄ퟓ쫽뻝벯뫏뇠뫅ꆣ컄훐룹뻝뛾뷸훆PSOd)붫맂솢뗣쫽뻝쳡릩룸튵뗄짳볆죋풱,평짳볆죋풱춨쯣램뗄믹놾쮼쿫,쳡돶쇋튻훖펦폃폚쫽뻝뮮럖뗄PSO쯣램ꆣ맽튻뚨뗄랽램뷸탐짳볆튵에뛏,듓뛸ퟮ훕랢쿖짳볆쿟쯷ꆣ붫쫽뻝뮮럖뗄튻룶뷢(튻룶솣ퟓ)뇭쪾캪튻룶쫽ퟖ뒮,볙ꆡ믹폚룄뷸뗄솣ퟓ좺폅뮯쯣램뗄쫽뻝뮮럖짨X쫇뮮럖뗄튻룶뷢,퓲X=xiii1xi2ꆭxin,웤훐헻쫽xꇊ[1,k],ij쟒1ꇜkꇜn,k캪뷢X뮮럖뗄ퟓ쫽뻝벯뫏쫽쒿ꆣ쪹폃쫽뻝실죫i1ꆡ쫽뻝뮮럖쒳룶ퟓ쫽뻝벯뫏뗄룅싊ퟷ캪쯙뛈[9],퓲뷢X뗄쯙뛈캪V=ii놾컄쫽뻝뮮럖뗄뛔쿳쫇쫽횵탍쪵쫽쫽뻝vi1vi2ꆭvin,0<v<1,v뇭쪾쫽뻝D쫴폚쒣뿩뇠뫅캪x뗄룅싊ꆣijijjij,쫽뻝뗄쳘뗣쫇폐튻뚨뗄뫏샭뷧쿞,죧릤쫽뻝,쯼튻냣튪퓚뗍놣횮짏ꆢ탐튵ퟮ룟m룶솣ퟓ탎돉쇋뮮럖뗄뷢뻘헳X=(X1,X2,ꆭ,Xn),웤쯙뛈뻘릤횮쿂ꆣ헳캪V=(V1,V2,ꆭ,Vn)ꆣ뛔폚솣ퟓX,폃P={piii1pi2ꆭpin}뇭뚨틥쪾웤뗼듺맽돌훐뗄ퟮ폅뷢,P1ꆡ쫽뻝벯뫏D=g={pg1pg2ꆭpgn}뇭쪾솣ퟓ좺뗄ퟮ{c1,c2,ꆭ,cn,cꇊR,A<c<B,A,iiB캪뎣쫽폅뷢,퓲솣ퟓX뗄쯙뛈뚨틥캪i,1ꇜiꇜn},|D|뇭쪾쫽뻝벯뫏뗄쫽뻝룶쫽ꆣ뚨틥2ꆡퟓ쫽뻝벯뫏쫇쫽뻝벯뫏뗄튻늿럖k+1kv=ꛘkv+c(Pk-x)+cijij1r1ijij2r2(Pkg-x)jij,ퟓ쫽뻝벯뫏DS뇭쪾캪DS<Dꆣ웤훐:맟탔틲ퟓꛘꇊ[,1],톧쾰틲ퟓc1뫍c2퓚ꆫ좡뚨틥3ꆡ붫쫽뻝벯뫏D뮮럖캪뛠룶ퟓ쫽뻝벯뫏D횵ꆣ캪쇋쪹룅싊퓚1k+1(0,1)횮볤,뛔k+v뷸탐죧쿂뒦샭:v=ijijS1,DS2,k+1-1[9]D(1+lnv)ꆣ쪹폃rand()닺짺튻룶쯦믺킡쫽ꛄ,죧맻S3,ꆭ,DSn,펦싺ퟣ틔쿂쳵볾:ija)Dꛄꇝk+1v,퓲닺짺쯦믺헻쫽ꛊꇊ[1,k],0<k<n,쇮k+1x=ꛊ,랴S1ꇈDS2ꇈDS3ꇈꆭꇈDSn=D;ijij횮k+1b)Πi,j,iꇙj,DsꇉDis=Áꆣx늻뇤,퓲뺭맽뗼듺뫳탎돉탂뗄뷢:jij1ꆡ솣ퟓ좺쯣램Xk+1=k+1k+1xxꆭk+1xii1i2in솣ퟓ좺폅뮯(PSO)쯣램쫇평Kennedy뗈죋쳡돶뗄튻훖뷸1ꆡ믹폚룄뷸뗄쫽뻝뮮럖쯣램뮯볆쯣벼쫵,풴폚뛔쓱좺늶쪳뗄탐캪퇐뺿[6]ꆣ솣ퟓ좺폅뮯뫍11ꆡ쯣램뗄쫊펦뛈몯쫽틅뒫쯣램뚼쫇믹폚뗼듺폅뮯뗄쮼쿫,쾵춳돵쪼뮯캪튻ퟩ쯦믺움볛뗼듺맽훐쎿룶솣ퟓ뗄뻖늿ퟮ폅뷢뫍솣ퟓ좺뗄좫뻖ퟮ뷢,춨맽뗼듺쯑쯷ퟮ폅뷢ꆣ떫쫇솣ퟓ좺폅뮯쯣램쎻폐틅뒫쯣램폅뷢쫇쯣램맘볼횮튻ꆣ놾컄틔쫽뻝벯뫏뮮럖뫳탎돉뗄ퟓ쫽뻝뗄붻닦뫍뇤틬,횻쫇평솣ퟓ퓚뷢뿕볤ힷ쯦ퟮ폅뗄솣ퟓ뷸탐쯑벯뫏뗄쓚뻛뛈뫍쯼쏇횮볤뗄뫏뛈ퟷ캪움볛횸뇪ꆣퟓ쫽뻝벯' 1994-2010 China Academic Journal Electronic Publishing House. All rights reserved.
뗚7웚헅쿾캰,뗈:믹폚뮮럖뫍맂솢뗣볬닢뗄짳볆횤뻝믱좡퇐뺿ꆤ24ꆡ97ꆡꆤꆡ뫏뗄쏜뛈풽듳,쓚뻛뛈풽룟;랴횮,ퟓ쫽뻝벯뫏횮볤뗄붻벯쏜뛈foreachXinXi풽킡ꆡ볆쯣f(X)뫍g(X)ii,뫏뛈풽뗍ꆣퟓ쫽뻝벯뫏뗄쓚뻛뛈풽룟ꆢ뫏뛈풽뗍,퓲쫽뻝뮮럖뗄킧맻뻍풽뫃ꆣꆡ볆쯣ꛗ(X)iꆡifꛗ(X)ꇝꛗ(X)iimaxthen뚨틥4ꆡ쫽뻝뮮럖뗄쓚뻛뛈f(X)캪룷ퟓ쫽뻝벯뫏쏜뛈횮ꆡꆡꛗ(X)iimaxꇻꛗ(X)i뫍ꆡꆡPꇻXii,벴ꆡendiff(X)=(ꇆ|D|)/y,1ꇜjꇜk,1ꇜkꇜniijijꆡifꛗ(X)ꇝꛗ(XM)imaxthen웤훐:y쫇뇠뫅캪j뗄ퟓ쫽뻝벯뫏뗄횵폲;|D|쫇뇠뫅캪j뗄ퟓꆡꆡꛗ(XM)ijijmaxꇻꛗ(X)i쫽뻝벯뫏뗄쫽뻝룶쫽ꆡꆡP;X쫇쫽뻝벯뫏뗄튻룶뮮럖ꆣgꇻXii뚨틥ꆡendif5ꆡ쫽뻝뮮럖뗄뫏뛈g(X)캪룷ퟓ쫽뻝벯뫏횮볤붻iꆡfori=1ton벯쏜뛈횮뫍,벴ꆡꆡk+1v=ꛘkv+kcx)ijij1r1(Pkk-x)+cijij2r2(Pg-jijꆡꆡk+1v=(1+lnk+1-1g(X)=ꇆ|DꇉDiijih|/y(DꇉDv)ijijijih)ꆡꆡ짺돉쯦믺킡쫽ꆡrꇊ(0,1)1ꇜjꇜk,1ꇜhꇜk,1ꇜkꇜn,jꇙh웤훐:y(DꇉDD쫇쫽뻝벯뫏뗄튻룶ih붻벯뗄횵폲ꆡꆡ1ifrꇝk+vthenij,Xiih)뇭쪾D뫍ijijꆡꆡ짺돉쯦믺헻쫽ꛊꇊ[1,k],0<k<n뮮럖ꆣꆡꆡ짨훃dꇊD쯹퓚ퟓ쫽뻝벯뫏뇠뫅k+1xꇻꛊk+1,웤룅싊캪vꇻvjijijij틲캪쫽뻝벯뫏뗄뮮럖킧맻쯦f(X)뗄짽룟뛸짽룟,쯦ꆡelseiꆡꆡ짨훃dꇊD쯹퓚쒣뿩뇠뫅캪k+1xꇻkx,웤룅싊캪k+1vꇻvjijijijijg(X)뗄짽룟뛸붵뗍,탨튪뛔헢솽룶횸뇪뷸탐ퟛ뫏살탎돉튻룶iꆡꆡendif움볛횸뇪,벴PSO쯣램뗄쫊펦뛈몯쫽:ꆡꆡendforꛗendfor(X)=ꛌ)-ꛌi1f(Xi2g(X)i웤훐:ꛌ1ꆢꛌ2럖뇰캪t=t+1f(X)ꆢg(X)뗄좨훘ꆣii11ꆡ쯣램듦퓚컊쳢벰룄뷸d)볬닩뗼듺훕횹쳵볾,죧맻ꛗ(X)max<ꛖ쟒t<ꛃ퓲늽훨c),뷸죫쿂튻싖톭뮷,럱퓲쯣램뷡쫸ꆣ1)쫊펦뛈뗄볆쯣ꆡ평폚쓚뻛뛈뫍뫏뛈뚼쫇쫽뻝쏜뛈횮뫍,믡돶쿖럖쒸캪뗼듺뷡쫸뫳,좫뻖ퟮ폅뷢Pg={pg1pg2ꆭpgn}뻍쫇쫽뻝뮮럖0뗄쟩뿶,퓚튻룶쫽뻝벯뫏훐,횻폐튻룶쫽뻝믲쯹폐쫽뻝뚼쿠뗈쪱,뻍믡돶쿖듎뮮럖뗄쫊펦뛈쫇컞쟮듳뗄쟳뷢뷡맻,캪뷸탐쿂튻늽뗄맂솢뗣볬닢ힼ놸뫃쫽뻝ꆣ,뻍믡죃쯣램돶쿖퓧쫬쿖쿳ꆣ뷢뻶듋컊쳢뿉틔퓚럖쒸캪0쪱,죃쫊ꆡ믹폚뻠샫뗄맂솢뗣볬닢펦뛈뗄횵뗈폚폫럖쒸늻캪0쪱볆쯣뗄쫊펦뛈쿠뇈뫜듳뗄쫽ꆣ샽죧,럖쒸늻캪놾컄쳡돶퓚쫽뻝뮮럖뗄믹뒡짏,뛔ퟮ폅뷢뗄쎿룶ퟓ쫽뻝벯0쪱볆쯣뗄쓚뻛뛈뚼퓚0ꆫ100,쓇뻍퓚럖쒸캪0뗄쟩뿶쿂쓚뻛뛈캪뫏쪹폃믹폚뻠샫뗄맂솢뗣볬닢쯣램ꆣ룃쯣램쳡룟쇋맂솢뗣볬10000ꆣ2)쯦믺짺돉돵쪼뷢뻘헳ꆡ쯦믺짺돉쫽뻝벯뫏뇠뫅쪱닢뗄쯙뛈,늢춨맽믹폚쇚폲(by2neighbor)보횦벼쫵쪵쿖,쪹웤,믡돶쿖룶뇰럖ퟩ샯쎻폐쫽뻝뗄쟩뿶ꆣ틲듋튪에뛏쫇럱쯹폐럖ퟩ퓚듳탍쫽뻝벯볬닢맂솢뗣쪱뇈쿖폐뗄웤쯻쯣램룼폐킧[10]ꆣ샯뚼폐쫽뻝1ꆡ믹폚뻠샫뗄맂솢뗣볬닢쯣램,죧맻폐뗄럖ퟩ샯쎻폐쫽뻝,퓲훘탂짺돉돵쪼뷢뻘헳ꆣKnorr뗈죋[11]쳡돶쇋믹폚뻠샫(DB)뗄맂솢뗣ꆣ믹폚뻠샫11ꆡ쯣램뗄늽훨뗄맂솢뗣췚뻲쯣램룹뻝쒳룶뻠샫몯쫽볆쯣쿠뮥횮볤뗄뛔쿳뻠폃폚쟳뷢쫽뻝뮮럖뗄PSO쯣램늽훨죧쿂샫,죧맻쫽뻝벯뫏S훐훁짙폐p늿럖뛔쿳폫뛔쿳o뗄뻠샫듳폚:ad,퓲뛔쿳o쫇튻룶듸닎쫽p뫍d뗄믹폚뻠샫뗄맂솢뗣,벴DB)돵쪼뮯닎쫽ꆣ짨훃ꛘꆢc1ꆢc2ꆢꛌ1ꆢꛌ2ꆢ솣ퟓ좺뗄맦쒣m(뷢뗄룶쫽)ꆢ뮮럖쫊펦뛈웚췻횵ꛖ뫍컞램듯떽웚췻횵쪱뗄벫쿞뗼(p,d)ꆣ평폚놾컄훐짦벰뗄쫽뻝뛔쿳쫇쪵쫽,솽룶뛔쿳횮볤뗄듺듎쫽ꛃ(쯣램훕횹쳵볾),뗼듺듎쫽돵쪼횵t=0ꆣ뻠샫뻍쫇솽룶쫽뻝횮볤뗄닮횵ꆣb)쯦믺짺돉돵쪼뗄뷢뻘헳뫍솣ퟓ뗄쯙뛈뻘헳1ꆡ폃쇚폲보횦벼쫵살쪵쿖믹폚뻠샫뗄맂솢뗣볬닢쯣램fori=1tomꆡ쫗쿈,룸돶맘폚쇚폲보횦벼쫵[10]뗄튻킩뚨틥뫍탔훊ꆣforj=1ton//n캪쫽뻝뗄룶쫽ꆡꆡ짺돉쯦믺헻쫽ꛊꇊ[1뚨틥6,k],0<k<nꆡꆡ짺돉쯦믺킡쫽ꛑꇊ(0,1)a)Nbr(O,D),횸뗣O뗄D쇚폲ꆣNbr(O,D)={xꇊX|ꆡꆡ짨훃dꇊD쯹퓚ퟓ쫽뻝벯뫏뇠뫅xꇻꛊ,웤룅싊vꇻꛑjijijꆡ|O-x|ꇜD},웤훐X쫇쫽뻝벯,x쫇쫽뻝벯훐뗄튻룶뗣,|O-nextj뗃떽솣ퟓx|쫇뗣O뫍뗣x횮볤뗄뻠샫ꆣX=xii1xi2ꆭxin벰쯙뛈V=vii1vi2ꆭvinnextib)N(Nbr(O,D)),횸쇚폲훐뗣뗄룶쫽ꆣ죧맻폐룶뇰럖ퟩ쎻폐쫽뻝퓲훘탂듓b)뾪쪼,ퟮ뫳뗃떽뷢c)맂솢뗣ꆣ믹폚쇚폲뗄뚨틥,죧맻늻뗈쪽N(Nbr(O,D))ꇜ뻘헳X=(X1,X(2,ꆭ,Xn)틔벰쯙뛈뻘헳V=(V1,V2,ꆭ,Vn)ꆣ1-P)ꇁ|X|돉솢(웤훐|X|쫇쫽뻝벯훐뗣뗄ퟜ룶쫽),퓲뿉죏c)볆쯣쫊펦뛈,쟳돶듋뿌솣ퟓ뗄뻖늿ퟮ폅뷢뫍솣ퟓ좺뗄캪뗣O쫇튻룶DB(P,D)맂솢뗣ꆣ좫뻖ퟮ폅뷢,볆쯣솣ퟓ뗄쯙뛈폫캻훃ꆣ탔훊짨ꛗ(X)a)쇚폲Nbr(O,D)훐죎틢솽룶뗣횮볤뗄ퟮ듳뻠샫캪2ꇁimax캪뷢X뗄ퟮ듳쫊펦뛈,P={piii1pi2ꆭpin}캪Xi뗄뻖늿ퟮ폅뷢,ꛗ(X)max캪솣ퟓ좺뗄ퟮ듳쫊펦뛈,퓲ꛗ(X)max=D,벴D뗄2놶ꆣmax(ꛗ(X1)max,ꛗ(X2)max,ꆭ,ꛗ(Xn)max),Pg={pg1pg2ꆭpgn}캪b)죧맻늻뗈쪽N(Nbr(O,D/2))ꇝ(1-P)ꇁ|X|돉솢,퓲솣ퟓ좺뗄좫뻖ퟮ폅뷢ꆣ쇚폲Nbr(O,D/2)훐뗄쯹폐뗣뚼늻쫇맂솢뗣ꆣ' 1994-2010 China Academic Journal Electronic Publishing House. All rights reserved.
ꆤ2498ꆤ볆쯣믺펦폃퇐뺿ꆡ뗚26뻭c)죧맻늻뗈쪽N(Nbr(O,2D))<(1-P)ꇁ|X|돉솢,퓲룹뻝튽쇆놣쿕놨쿺뗄맦퓲,쓪쇤퓚50쯪뗄죋놨쿺뛮뛈퓚O뗄D쇚폲(Nbr(O,D))뗄쯹폐뗣뚼쫇맂솢뗣ꆣ2췲풪틔쿂,틔듋뿉틔뛏뚨듋맂솢뗣쫽뻝쫇폐컊쳢뗄,듓뛸랢탔훊b)폃폚탞보맦퓲,룹뻝탔훊b),쯹폐쇚폲Nbr(Q,D/쿖쇋짳볆횤뻝ꆣ춨맽쿈볬닢돶맂솢뗣쫽뻝살,좻뫳퓙평짳볆죋2)훐뗄뗣뚼늻쫇맂솢뗣,퓲뿉틔퓚뫳탸볬닢훐뫶싔ꆣ쪹폃보풱뷸탐에뛏,헢퇹뻍쳡룟쇋짳볆킧싊,뷚쪡쇋죋솦ꆣ횦맦퓲뿉틔쳡룟볬닢뗄쯙뛈ꆣ룹뻝탔훊c),O뗄D쇚폲훐뗄룹뻝놾컄쯣램폫뒫춳뗄믹폚맂솢뗣볬닢쯣램뗄뛔뇈쪵퇩쯹폐뗣뚼뿉틔뇪볇캪맂솢뗣,틲듋,샻폃룃탔훊뻍늻퓙탨튪볬뇭쏷,놾컄쳡돶뗄랽램쓜뫜뫃뗘볬닢돶놻짳볆쫽뻝훐뗄맂솢닢쯹폐뗣,듓뛸뿉틔폐킧뗘뇪볇돶맂솢뗣,헢뻍쿔훸뗘볓뿬쇋뗣,늢쟒퓚쫽뻝솿뫜듳뗄쪱뫲쯣램뗄킧싊믡듳듳쳡룟,뛸헽좷맂솢뗣볬닢뗄쯙뛈ꆣ싊늻믡붵뗍,듓뛸퇩횤쇋놾컄쯣램뗄뿉탐탔ꆣ룹뻝쇚폲뗄뚨틥뫍탔훊,믹폚쇚폲보횦벼쫵뗄맂솢뗣볬닢쯣램쏨쫶죧쿂:a)퓚춨맽쫽뻝뮮럖뫳뗄ퟓ쫽뻝벯뫏훐,죎틢톡퓱튻룶ퟓ쫽뻝벯뫏X,에뛏웤쫽뻝룶쫽,죧맻룶쫽캪1,퓲붫듋쫽뻝뇪볇캪맂솢뗣쫽뻝,늢볓죫떽맂솢뗣벯훐좥,늢훘탂듓a)뾪쪼,럱퓲퓚듋ퟓ쫽뻝벯뫏X훐죎틢톡퓱캴놻뇪볇뗄튻뗣Oꆣb)쯑쯷뗣O뗄D쇚폲,늢볆쯣N(Nbr(O,D))ꆣ춼2훐,떱N(Nbr(O,D))ꇝ(1-P)ꇁ|X|쪱(웤훐|X|쫇쫽뻝벯훐뗣뗄ퟜ쫽),붫D쯵킡튻냫,벴D=D/2,볆쯣N(Nbr(O,D/2))ꆣ죧맻N(Nbr(O,D/2))>(1-P)3|X|,퓲O뗄D/2쇚폲훐뗄뗣뚼늻쫇맂솢뗣,틲듋,헢킩뗣뿉틔뫶싔,늻탨튪퓙뷸튻늽볬닢,늢놻뇪볇캪럇맂솢뗣쫽뻝ꆣ헢퇹뻍뿉틔쿔훸뗘쳡룟쯣램뗄킧싊ꆣ춼2훐,믒즫뗄D/2쇚폲훐뗄뗣뿉틔돽좥ꆣ떱N(Nbr(O,D))<(1-P)ꇁ|X|,쯣램붫D삩듳튻놶,벴D=2ꇁD,퓙볆쯣N(Nbr(O,2ꇁD))ꆣ죧맻N(Nbr(O,2ꇁD))<(1-P)ꇁ|X|,퓲O뗄D쇚폲훐뗄쯹폐뗣뚼뿉틔뇪뇭1ꆡ맂솢뗣쫽뻝쪵샽볇캪맂솢뗣쫽뻝,늢붫볬닢돶뗄맂솢뗣쳭볓떽맂솢뗣벯훐;럱탕쏻탔뇰쓪쇤쓪뛈놨쿺뛮놨쿺쓪뛈퓲뷶뷶횻폐뗣O캪맂솢뗣,뷶붫뗣O쳭볓떽맂솢뗣벯훐좥ꆣ헅죽쓐췲2002헢퇹춬퇹믡쳡룟쯣램뗄킧싊ꆣ춼2훐,믒즫뗄D쇚폲훐뗄뗣뚼쫇맂솢뗣ꆣꆡ뷡쫸폯c)훘뢴a)뫍b),횱떽볬닢췪쯹폐ퟓ쫽뻝벯뫏훐뗄쯹폐뗣ꆣ놾컄쳡돶쇋샻폃쫽뻝뮮럖뫍맂솢뗣볬닢벼쫵살랢쿖놻짳볆쫽뻝훐뗄틬뎣쫽뻝,캪짳볆죋풱쳡릩짳볆틀뻝,쳡룟짳볆킧싊ꆣ샻폃솣ퟓ좺쯣램뗄뿬쯙쫕솲탔살쪵쿖쫽뻝뮮럖,캪맂솢뗣볬닢쳡릩룟쓚뻛ꆢ뗍뫏뗄쫽뻝,틔쳡룟몣솿쫽뻝뗄짳볆횤뻝믱좡킧싊;닉폃믹폚뻠샫뗄쇚폲보횦벼쫵살쪵쿖맂솢뗣볬닢,쳡룟쇋맂솢뗣뗄볬닢킧싊ꆣ춨맽쪵퇩뇭쏷,놾컄랽램쓜릻싺ퟣꆡ쪵퇩퇩횤쪵볊탨쟳,쪵쿖쪵볊킧맻ꆣ놾컄훐쫇ퟶ떽쇋뛔놻짳볆쫽뻝뗄맂솢뗣볬닢,뛸볬닢돶뗄맂솢뗣쫽뻝폫웤쯻짳볆랽램뷡뫏웰살뷸틔쒳튽놣탅쾢쾵춳훐뗄쓪뛈놨쿺뇭캪샽탐럖컶뗄컊쳢,쫇뷱뫳퇐뺿뗄훘뗣ꆣ,럖컶쫽뻝뿢룃뇭훐뗄쯹폐쫽뻝,살퇩횤놾컄쳡돶뗄믹폚쫽뻝뮮럖뫍맂솢뗣볬닢닎뾼컄쿗:벼쫵뗄짳볆횤뻝믱좡랽램뗄뿉탐탔ꆣ쯣램퓚ꆢ[1]믆폀욽.맂솢뗣럖컶랽램퓚볆쯣믺짳볆훐뗄펦폃[J].짳볆퇐뺿,2006,(S1):쓚듦캢믺짏뷸탐쪵퇩,닙ퟷ쾵춳캪Windows2000Serverꆣ퓚쫽뻝뮮럖뷗뛎,룹뻝뺭퇩짨훃솣ퟓ좺폅뮯쯣램뗄돵쪼닎[2]쫽[D].Finland:TheSwedishSchoolofEconomicsandBusinessAd2:ꛘ=,c1=,c2=,ꛌ1=,ꛌ2=ꆣ룹뻝쫽뻝솿뗄듳킡뫍뺭퇩톡퓱뗼듺듎쫽뫍뮮럖ퟩ쫽,틔벰맂솢뗣볬닢쪱뗄ministration,2002.룷룶닎쫽ꆣ퓚쪵퇩훐[3]돂캰,쇵쮼럥,쟱맣뮪.볆쯣믺짳볆훐튻훖믹폚맂솢뗣볬닢뗄쫽뻝,쇮쎿듎폃폚쪵퇩뗄맂솢뗣ퟜ쫽캪n,볬뒦샭랽램[J].짌튵퇐뺿,2006(17):44247.닢돶뗄헽좷맂솢뗣쫽캪b,뚨틥맂솢뗣볬닢뗄헽좷싊캪accura2[4][M].London:Chapmancy=b/nꆣ룹뻝놾컄쯣램폫뒫춳뗄믹폚뻠샫뗄맂솢뗣볬닢쯣andHall,1980:1280.램뷸탐쪵퇩,뗃돶틔쿂쪵퇩뷡맻,죧춼3쯹쪾ꆣ[5]쯯퓆,샮훛뻼,돂믰췺.맂솢뗣볬닢쯣램벰웤퓚쫽뻝쇷췚뻲훐뗄뿉룹뻝맂솢뗣볬닢뷡맻(춼3)뿉틔뾴돶,놾컄쳡돶뗄랽램쓜폃탔[J].볆쯣믺뿆톧,2007,34(10):2002205.랢쿖놻짳볆쫽뻝훐뗄맂솢뗣쫽뻝,쯼쏇훐뗄튻킩쫽뻝뻍폐뿉쓜[6]EBERHARTRC,쫇틬뎣쫽뻝rithmsandparticleswarmoptimization[C]//Procofthe7thInterna2,벴짳볆횤뻝ꆣ샽죧,퓚쫽뻝솿캪췲뗄쪱뫲,볬닢돶뗄맂솢뗣쫽뻝룶쫽캪28룶,헽좷싊캪98%,틔웤훐튻쳵:Springer2맂솢뗣쫽뻝캪샽,죧뇭1쯹쪾ꆣVerlag,1998:6112616.(쿂뗚2501튳)' 1994-2010 China Academic Journal Electronic Publishing House. All rights reserved.
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