뗚7뻭뗚3웚ꆡꆡꆡꆡꆡ맜ꆡ샭ꆡ뿆ꆡ톧ꆡ톧ꆡ놨2004쓪6퓂ꆡꆡꆡꆡJOURNALOFMANAGEMENTSCIENCESINCHINAꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡ춬샠닺욷뛠욷없뗄ퟮ폅뚨볛쒣탍ꋙ뛅ꆡ죙1,뫺웦펢2,돂뾪훜3(11컷낲뗧ퟓ뿆벼듳톧뺭볃맜샭톧풺,컷낲710071;21짏몣듳톧짌맜톧풺,짏몣201800;31컷낲뗧ퟓ뿆벼듳톧샭톧풺,컷낲710071)햪튪:헫뛔춬튻볒웳튵짺닺뛠훖욷없뗄춬샠닺욷헢훖짌컱쪵볹훐뗄닺욷ퟮ폅뚨볛컊쳢,쳡돶쇋춬샠닺욷뛠욷없뗄ퟮ폅뚨볛쒣탍,뿌뮭쇋룷훖욷없뗄볛룱뛔쿺솿ꆢ쿺솿뛔떥캻돉놾뗄듭ퟛ뢴퓓뗄펰쿬,틔벰틲듋뛸닺짺뗄뛔웳튵샻죳뗄펰쿬;펦폃ퟮ탂쳡돶뗄튻훖짱뺭췸싧랽램붨솢쇋쟳뷢뛠욷없ퟮ폅뚨볛쒣탍쯹탨튪뗄짱뺭췸싧,뛔룃짱뺭췸싧붨쒣랽램뗄탔쓜뷸탐쇋움볛,룸돶쇋튻룶움볛쪵샽;ퟮ뫳룸돶쇋뛠욷없ퟮ폅뚨볛뗄낸샽,붨솢쇋룃낸샽뗄ퟮ폅뚨볛쒣탍,폃짱뺭췸싧랽램믱뗃쇋룃낸샽훐뛠욷없뗄ퟮ폅뚨볛뷡맻.뛔폚떥뷗뛎뗄뛠욷없ퟮ폅뚨볛뻟폐샭싛뫍쪵볊볛횵.맘볼듊:뚨볛;뛠욷없;짱뺭췸싧훐춼럖샠뫅:F22410ꆡꆡꆡ컄쿗뇪쪶싫:Aꆡꆡꆡ컄헂뇠뫅:1007-9807(2004)03-0069-060ꆡ틽ꆡ퇔떫쫇,닺욷뚨볛랽쏦뗄듳뛠쫽컄쿗벯훐폚떥튻욷없쟩뿶쿂뗄뚨볛퇐뺿\[5ꆫ9\],뛔웳튵뗄뛠욷없퓚쿻럑헟늻뛏ힷ쟳쪱짐뫍룶탔뮯뗄뷱쳬뚨볛퇐뺿뷏짙.듋췢,닺욷뚨볛퇐뺿듳뛠닉폃ퟮ폅,쿻럑욷짺닺짌캪쇋춬쪱싺ퟣ튻킩쿻럑헟ꆰ쾲탂ꆱ뫍쇭뿘훆ꆢ십뛻뿉럲뻶닟ꆢ캢럖뛔닟뗈뚯첬랽램뷸탐퇐튻킩쿻럑헟ꆰ솵뻉ꆱ뗄탨튪,퓚놣쇴풭폐닺욷늻췋뺿\[5ꆫ7\].뾼싇떽탭뛠탂닺욷뗄짺쏼훜웚폺살폺뛌,돶쫐뎡뗄쟩뿶쿂늻뛏췆돶룄뷸닺욷믲좫탂닺퓚뛌퓝뗄짺쏼훜웚훐튻킩닺욷뗄볛룱뇤뮯짵캢,욷\[1\];춬쪱,캪쇋싺ퟣ쿻럑탨쟳뗄뛠풪뮯뗄탨튪,벴쪹쫇짺쏼훜웚뷏뎤뗄닺욷,웤볛룱듓뛌웚살뾴ꆰ캪늻춬싲훷쳡릩늻춬탔쓜뫍/믲쯟쟳ꆱ(샽죧놦폐튻뚨컈뚨탔,쟒뛠쫽닺욷뚨볛틔캴살쒳튻뛎쪱뷠),믲ꆰ캪쇋놣뮤웤훷튪욷없ꆱ(샽죧뺫릤),믲헟웚쓚(죧쒳튻죎닺욷뺭샭뗄죎웚)뗄샻죳캪ퟅ퇛캪쇋럖즢닺욷뾪랢뗄럧쿕,탭뛠쿻럑욷짺닺짌퓚뗣.틲듋,폐뇘튪퇐뺿ퟷ캪닺욷뚨볛믹뒡뗄떥뷗뛎닺욷욷없햽싔뻶닟훐닉폃ꆰ뛠욷없ꆱ햽싔,뛔폚춬닺욷ퟮ폅뚨볛.헫뛔헢훖탨튪,놾컄샻폃짱뺭췸싧튻샠닺욷닉폃쿠뮥맘솪떫뻟폐늻춬쫴탔뗄뛠훖욷랽램퇐뺿뺲첬쟩뿶쿂떥뷗뛎뛠욷없뗄ퟮ폅뚨볛없\[2\],죧놦뷠퓚훐맺췆돶뗄쾴랢튺샠닺욷폐욯죡ꆢ컊쳢.몣량쮿ꆢ엋ꆢ즳탻뗈.짏쫶짌컱쪵볹뿉틔붫춶퓚웳튵뛔폚닺욷뗄떥뷗뛎뚨볛쪵볹훐,볛룱럖엤룸뛠훖욷없,럖즢춶럧쿕,춬쪱햼쇬룼뛠뗄훷튪쫇틔닺욷뗄욽뻹돉놾캪믹뒡뛸훆뚨뗄,폐돉럖쿺짌믵볜.떫쫇,듸살뗄횱뷓컊쳢쫇:죧뫎캪뛠놾볓돉뚨볛램ꆢ욽뻹돉놾뚨볛램ꆢ쒿뇪쫕틦뚨볛램훖욷없짨볆볛룱,틔뇣붫닺욷퇐랢뫍짺닺뗄돉놾뗈,떫쫇헢킩랽램쎻폐뾼싇떽볛룱뛔탨쟳솿(쿺쫛럖즢폚룷룶욷없\[3,4\].틲듋,탨튪뛔춬샠닺욷뛠욷솿)뗄펰쿬틔벰쿺쫛솿뛔떥캻돉놾쮮욽뗄펰쿬.뚨없뗄뚨볛뷸탐퇐뺿.볛맽룟믡틽웰쿺쫛솿뗄복짙듓뛸틽웰ퟜ샻죳뗄붵ꋙ쫕룥죕웚:2001-10-16;탞뚩죕웚:2003-11-25.믹뷰쿮쒿:맺볒ퟔ좻뿆톧믹뷰훺쿮쒿(70271021).ퟷ헟볲뷩:뛅ꆡ죙(1968ꆪ),얮,짂컷쿌퇴죋,쮶쪿,뢱뷌쫚.' 1994-2007 China Academic Journal Electronic Publishing House. All rights reserved.
ꆪ70ꆪ맜ꆡ샭ꆡ뿆ꆡ톧ꆡ톧ꆡ놨ꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡ2004쓪6퓂뗍,뚨볛맽뗍쯤좻믡삩듳쿺쫛솿,좴폐뿉쓜틔컾짼웤훐,0ꇜꛈi,jꇜ1(iꇙj)쫇욷없i뗄쿺솿뛔욷없샻죳캪듺볛\[10\].놾컄쳡돶떥뷗뛎닺욷뗄ퟮ폅뚨볛j뗄볛룱뗄쇩쏴쾵쫽,뇭쪾뺺헹욷없뗄볛룱뇤뚯램,쯼틔닺욷퓚튻뛎쪱웚쓚좡뗃뗄샻죳ퟜ뛮뗄ퟮ튻룶떥캻틽웰욷없i뗄쿺솿뗄뇤뮯솿.듳뮯캪쒿뇪,퓚훆뚨쒳닺욷뗄볛룱쪱,뾼싇떽룃볛짨i뇭쪾욷없i뗄떥캻돉놾,볇Y=(1,2,룱폫룃닺욷뗄쿺쫛솿ꆢ쿺쫛솿폫떥캻뇤뚯돉놾뗄ꆭT,n)뇭쪾떥캻돉놾쿲솿.튻냣뛸퇔,쯦ퟅ떱웚쿠뮥솪쾵,늢뾼싇떽웤쯻춬샠닺욷볛룱뛔룃닺욷닺쿺솿뗄퓶볓,떱웚짺닺떥캻닺욷쯹탨뗄떥캻돉쿺쫛솿뗄펰쿬.틲듋,놾컄쳡돶뗄떥뷗뛎닺욷뗄ퟮ놾믡붵뗍.틲듋,튻뛎쪱볤쓚쒳욷없뗄닺쿺솿zi뛔폅뚨볛램쓜쏖늹쿖폐뗄쪵볊뚨볛랽램훐뗄탭뛠좱룃쪱웚쓚뗄떥캻돉놾i믡폐펰쿬.죧컄쿗[13]쓇쿝,캪웳튵쳡릩튻훖틔샻죳ퟮ듳뮯캪쒿뇪뗄뇈뷏퇹,볙뚨헢훖펰쿬쫇쿟탔뗄,퓲떥캻돉놾i폫닺뿆톧뗄뚨볛랽램,뻟폐훘튪뗄쪵볹틢틥.쿺솿zi횮볤폐죧쿂맘쾵:i=ꛁi-ꛂiz(i2)1ꆡ뛠욷없ퟮ폅뚨볛쒣탍쏨쫶웤훐,ꛁi>0쫇뇭쪾욷없i퓚쯹뾼싇뗄뷗뛎쓚뗄돵쪼떥캻돉놾[14]뗄닎쫽,0ꇜꛂiꇜ1쫇욷없i뗄떥퓚쒳뷗뛎훐,짨쒳샠닺욷폐n룶욷없,뛔i=캻돉놾뛔쯼뗄닺쿺솿뗄쇩쏴쾵쫽,뇭쪾욷없i뗄1,2,ꆭ,n,짨xiꇝ0뇭쪾욷없i뗄볛룱,볇X=닺쿺솿쎿퓶볓튻룶떥캻틽웰떥캻돉놾뗄뇤뮯솿.T(x1,x2,ꆭ,xn)캪볛룱쿲솿;짨zi뇭쪾욷없i뗄쿺붫쪽(1)듺죫쪽(2)뗃솿,볇Z=T(z1,z2,ꆭ,zn)캪쿺솿쿲솿.쒳룶욷없뗄볛룱xi폫룃욷없쿺솿(탨쟳솿i=ꛁi-ꛂi+ꛂꛃiixi-ꛂiꇆnꛈi,jx(j3))zi횮jꇙi볤뗄맘쾵뿉틔폃룃욷없뗄탨쟳쟺쿟z(볇ꛐix)i살뿌뮭.i쫇욷없i퓚뚨볛캪xiꆢ쿺솿캪ziꆢ떥캻돉놾퓚튻킩쟩뿶쿂,탨쟳쟺쿟뿉틔뷼쯆뾴ퟷ튻쳵횱쿟[11]캪.i쪱뗄샻죳.룹뻝쪽(1),평폚욷없i뗄쿺솿zi늻뷶듋쪱,탨쟳쟺쿟뗄몯쫽쪽뿉틔킴캪z(폫욷없i뗄볛룱xi폐맘,뮹폫웤쯻뺺헹욷없뗄볛룱ix)i=1-ꛃixi.웤훐,닎쫽ꛃi쫇룃욷없뗄탨쟳솿뛔룃욷없볛룱뗄x(jjꇙi)폐맘,틲듋욷없i뗄샻죳ꛐi폫룷룶욷없뗄쇩쏴쾵쫽,뇭쪾룃욷없볛룱뇤뚯튻룶떥캻틽웰룃뚨볛x(ii=1,2,ꆭ,n)뚼폐맘.틲듋,볇캪욷없탨쟳솿뗄뇤뮯솿.퓚탂닺욷틽죫웚,늻듦퓚뺺ꛐ(ix1,x2,ꆭ,xn)=(xi-)(izi4)헹믲뺺헹캢죵,탨쟳솿뛔볛룱뗄쇩쏴쾵쫽뇈뷏킡,붫쪽(1)뫍(3)듺죫(4)늢헻샭,뗃떫쫇,뷸죫닺욷돉쫬웚뫳,뛠룶욷없쿠뮥뺺헹,탨ꆡꛐ(ix1,x2,ꆭ,xn)=(-ꛃi+ꛂꛃ22)iixi+쟳솿뛔볛룱뗄쇩쏴쾵쫽믡뇤듳.놾컄퇐뺿쫊뛈뺺헹쟩뿶쿂뛠욷없뗄ퟮ폅뚨볛,볙뚨탨쟳솿뛔볛룱(1+ꇆnꛈi,jxj+ꛁꛃii-2ꛂꛃii-2ꛂiꇆnꛈi,jxꛃji)xi+jꇙijꇙi뗄쇩쏴쾵쫽닎쫽캪0ꇜꛃiꇜ평폚n룶욷없쫴폚춬샠닺욷,쯼쏇뗄볛룱뛔[ꛂꛈi(ꇆni,jxj)+2ꛂiꇆnꛈi,jxj-ꛁiꇆnꛈi,jxj+ꛂi-ꛁi]jꇙijꇙijꇙi뇋듋뗄쿺솿폐붻닦펰쿬.튻냣뛸퇔,퓚쒳튻뷗뛎,(5)쒳튻욷없뗄붵볛(쳡볛)믡퓶볓(복짙)룃욷없헢퓚떥뷗뛎뛠욷없ퟮ폅뚨볛맽돌훐,웳튵뗄훘튻뷗뛎뗄쿺솿,떫믡복짙(퓶볓)웤쯻욷없헢튻뷗튪뚨볛쒿뇪횮튻쫇쪹웳튵뗄ퟜ샻죳ퟮ듳,벴쪹룷뛎뗄쿺솿[12].죴붫쯹폐웤쯻욷없뗄볛룱뛔룃욷없룶욷없뗄샻죳횮뫍ퟮ듳.틲듋,쒿뇪캪쿺솿뗄붻닦펰쿬폨틔뾼싇,늢볙뚨헢훖붻닦펰쿬쫇쿟탔뗄mꢻxꛐ(ix1,x2,ꆭ,xn)(6)x1,ꆭꇆn,퓲룹뻝컄쿗[13]뿉볙뚨쒳욷없뗄쿺쫛,xii=1솿z풼쫸쳵볾캪i폫룃욷없뗄볛룱xi뫍웤쯻욷없뗄볛룱x(jjꇙi)횮볤폐죧쿂맘쾵:iꇝ0zzi=1-ꛃixi+ꛈi,1x1+ꛈi,2x2+ꆭ+iꇝ0ꛈi,i-1xi-1+ꛈi,i+1xi+1+ꆭ+ꛈi,nxn=xi-iꇝ0쯼쏇럖뇰뇭쪾떥캻돉놾럇뢺ꆢ쿺쫛솿럇뢺뫍볛룱1-ꛃixi+ꇆnꛈi,jx(j1)jꇙi늻뗍폚떥캻돉놾.' 1994-2007 China Academic Journal Electronic Publishing House. All rights reserved.
뗚3웚ꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡ뛅ꆡ죙뗈:춬샠닺욷뛠욷없뗄ퟮ폅뚨볛쒣탍ꆪ71ꆪ컊쳢(6)뗄쿲솿탎쪽캪f(X)=-ꇆnꛐ(ix1,x2,ꆭ,xn)mꢻi=1xꇆnꛐ(iX)i=1쫇춹몯쫽,럇쿟탔맦뮮컊쳢(8)훐뗄풼쫸쳵볾Yꇝ0G1(X)ꆢG2(X)뫍G3(X)뻹캪쿟탔몯쫽,틲듋컊ꇝ0(7)쳢(8)쫇튻춹맦뮮(CNP).횤뇏.X-Yꇝ0뛔폚럇쿟탔춹맦뮮CNP(8),뿉릹퓬죧쿂짱뺭쇮췸싧쒣탍f(X)=-ꇆnꛐ(iX),퓲웳튵뛠욷없뗄ퟮi=1dz폅뚨볛컊쳢=-ýE(z),z=z(t)(10)(7)뇤돉죧쿂럇쿟탔맦뮮컊쳢:dt웤훐:zꇊR4n캪짱뺭췸싧뗄캴횪쿲솿;E(z)캪짱minf(X)=-ꇆnꛐ()iXi=1뺭췸싧뗄쓜솿몯쫽(뻟쳥뇭듯쪽뫳컄룸돶).G1(X)=Yꇝ0E(z)=0Ζz캪짱뺭췸싧뗄ퟮ폅뷢.s짨CNP(8)폐ퟮ폅뷢,쟒쫇잿쿠죝뗄,벴ϖX0ꇊ.(X)=Zꇝ0(8)GRn,쪹3(X)=X-Yꇝ0웤훐,Gg(iX)>0(i=1,2,ꆭ,3n)1(X)ꆢG2(X)뫍G3(X)럖뇰뇭쪾떥캻돉놾럇뢺풼쫸ꆢ쿺솿럇뢺풼쫸뫍볛룱늻뗍폚떥캻돉퓲CNP(8)뗄Wolfe뛔얼맦뮮DNP캪놾풼쫸mꢻxꆡL(XT,ꛋT)..ꆡýXL(XT,ꛋT)=0ꆡꆡꆡꆡꆡꛋꇝ0(11)2ꆡ뛠욷없ퟮ폅뚨볛쒣탍쟳뷢랽램웤훐:ꛋ=T(ꛋ1,ꛋ2,ꆭ,ꛋ3n);L(XT,ꛋT)=f(X)-ꛋTg(X),g(X)=(g1(X),g2(X)럇쿟탔맦뮮컊쳢,ꆭ,g3n(XT));ýXL(XT,ꛋT)=(8)늻뷶뇤솿룶쫽뛠(n룶뇤솿),뛸쟒풼쫸늻뗈쪽쫽솿룼뛠(풼쫸늻뗈쪽뗄쫽ýf(X)-ýg(XT)ꛋ솿쫇뇤솿룶쫽뗄볇z=(XT,ꛋT),퓲뛔폚컊쳢(8)뿉틔붨솢죧3놶,캪3n룶).뛔폚헢훖듳맦쒣뗄폅뮯컊쳢,쯤좻뿉틔닉폃뛠훖럇쿟탔폅뮯쯣램쿂쓜솿몯쫽:,떫캪쇋쳡룟쟳뷢킧싊,헫뛔놾컊쳢닉폃튻훖탂뗄E(z)=E(XT,ꛋT)=1[ꛋTg(X2)]+2짱뺭췸싧쟳뷢랽램.횤쏷뛠욷없뗄ퟮ폅뚨볛컊쳢1L(XT,ꛋT)ꆬ2+2ꆬýX(8)쫇럇쿟탔춹맦뮮.틽샭1ꆡ-ꛐ(ix1,x2,ꆭ,xn)쫇춹몯쫽(X)[g(X)-2|g(X)횤쏷ꆡ평쪽|]+(5)뿉뗃2-ꛐ1(ꛋT(ꛋix1,x2,ꆭ,xn)=(ꛃi-ꛂꛃ2)iixi--|ꛋ|)ꇝ02ꆡꆡꆡ뚨샭2ꆡE3(z)=0Ζ3z=(X3T,ꛋ3T)캪(1+ꇆnꛈi,jxj+ꛁꛃii-2ꛂꛃii-jꇙiCNP폫DNP뗄ퟮ폅뷢(횤쏷싔).ꆡꆡꆡ2ꛂ틲듋,쟳뷢CNP뫍DNP뗄짱뺭췸싧(10)뿉뻟iꇆnꛈi,jxꛃji)xi-[ꛂi(ꇆnꛈ2i,jxj)+jꇙijꇙi쳥킴캪ꆡꆡꆡ2ꛂdXiꇆnꛈi,jxj-ꛁiꇆnꛈi,jxj+ꛂi-ꛁ(i]9)jꇙ=-ýijꇙi평쪽(9)뿉횪,-ꛐdXE(z)=t(ix1,x2,ꆭ,xn)퓚(0,+ꇞ)짏뗄뛾뷗떼쫽캪ꆡꆡ-ꛋTg(X)ýg(XT)-d2ꆡꆡýg(XT)[g(X)-|g(X)|\]+[-ꛐ(ix1,x2,ꆭ,xn)]ꛃꛃ2i-2ꛂiid2=2xꆡꆡꆡꆡ[-ý2XXL(z)ýXL(z)](12)i틲캪0ꇜꛂiꇜ1뫍0ꇜꛃiꇜ1,쯹틔2ꛃi-2ꛂꛃ2ii>dꛋ=-ý0dꛋE(z)=t.맊-ꛐ(ix1,x2,ꆭ,xn)쫇춹몯쫽.횤뇏.뚨샭1ꆡ컊쳢(8)쫇튻룶춹맦뮮.ꆡꆡ-ꛋTg(X)g(X)+횤쏷ꆡ평틽샭1뿉횪ꆡꆡýg(X)ýXL(z)-(ꛋ-|ꛋ|)' 1994-2007 China Academic Journal Electronic Publishing House. All rights reserved.
ꆪ72ꆪ맜ꆡ샭ꆡ뿆ꆡ톧ꆡ톧ꆡ놨ꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡ2004쓪6퓂짏쫶짱뺭췸싧랽램쫕솲쯙뛈벫뿬(쪱볤뢴퓓웚쫕벯뗄쫐뎡뗷닩쇏뇭쏷,A웳튵욷없펵폐튻뛈벸뫵캪0),컈뚨탔뫃,뻟폐룟뛈뗄죝듭쓜솦.헢뚨쫽솿뗄욷없훒돏헟(쯻쏇뿏뚨믡릺싲A웳튵뗄킩폅풽뗄탔쓜뿉틔춨맽듳맦쒣늢탐뒦샭뫍럖늼쪽죽룶욷없훐뗄튻룶),떫죽룶욷없뗄볛룱믡뛔뇋듋탅쾢듦뒢살쪵쿖.뻟쳥헫뛔잰쏦붨솢뗄CNP(8)뫍뗄쿺솿폐펰쿬.쫐뎡죋풱뛔쫐뎡뗷닩쇏뷸탐춳룹뻝쯼붨솢뗄짱뺭췸싧(12)뛸퇔,놾컄쯹닉폃뗄볆럖컶뫳,뗃떽죧쿂탨쟳뛔볛룱뗄쇩쏴쾵쫽닎쫽짱뺭췸싧랽램퓚탔쓜랽쏦뻟폐죧쿂쳘뗣:(닎쫽틢틥볻뗚1뷚):1)죴짱뺭췸싧(12)횻폐캨튻욽뫢뗣3z쪱,ꛃ1=012,ꛃ2=,ꛃ3=룃욽뫢뗣3z쫇튻훂붥뷼컈뚨뗄.ꛈ1,j=,ꛈ2,j=,ꛈ3,j=(j=1,2,3)2)죴CNP(8)횻폐튻룶ퟮ폅뷢3z쪱,퓲3z돉놾뫋쯣죋풱튲뛔닺욷돉놾쇏뷸탐쇋춳볆럖쫇튻훂컈뚨뗄.컶,뗃떽죧쿂랴펳쿺솿폫떥캻돉놾맘쾵뗄닎쫽(닎3)죴짱뺭췸싧(12)횻폐캨튻욽뫢뗣3z,쟒쫽틢틥볻뗚1뷚):E(z)뗄쮮욽벯폐뷧,퓲3z퓚쓢쫕솲틢틥쿂쫇좫ꛁ1=1,ꛁ2=1,ꛁ3=1뻖튻훂ꆢ붥뷼컈뚨뗄.ꛂ1=,ꛂ2=,ꛂ3=)죴CNP(8)폐컞쟮뛠룶ퟮ폅뷢,쟒E(z)뗄쮮욽벯폐뷧,퓲죎룸돵쪼뗣0쇮X=T(x1,x2,x3),룹뻝짏쫶닎쫽,폐z,폐0z(tn,z)ꇺz.벴+(t,z)쓢쫕솲폚욽뫢뗣=+(힢:짏쫶짱뺭췸싧뗄붨솢ꆢ쳖싛틔벰폐맘뷡싛뗄횤쏷볻컄쿗[15\].)+캪쇋횤쪵놾컄쯹폃짱뺭췸싧랽램뗄뿉탐탔뫍++폐킧탔,뗚죽ퟷ헟뗄쇭튻욪싛컄훐룸돶쇋쒣쓢쯣Z=1++램뫍튻킩쪵퇩쯣샽,늢룸돶쇋춼쪾.쿂쏦뷶룸돶웤1++훐튻룶쯣샽,틔릩움볛룃짱뺭췸싧붨쒣랽램뗄+++탔쓜.X-Y=+++쯣샽+++(x)=+2x1+2x2-x1x2+3x1/30틲듋,A웳튵캪웤죽룶욷없뚨볛컊쳢뗄쒣탍죧쿂:+ꇝ,ꆡx1ꇝ0minf(X)=-(X-YT)Zꆡꆡ+x2ꇝ,ꆡx2ꇝ0G1(X)=Yꇝ0폃놾컄쯹폃짱뺭췸싧쯣램믱뗃뗄ퟮ폅뷢쫇(X)=Zꇝ0(13)3x=(,),ퟮ폅횵쫇3f(x)=(X)=X-Yꇝ0톡좡늽뎤ꚤt=,ퟮ폅횵뗄튻룶쿂뷧붫XꆢY뫍Z듺죫짏쫶쒣탍뿉횪,룃럇쿟탔맦MT1=0,죎틢톡퓱돵쪼뗣(7,4T),(-4,4),(-4,뮮컊쳢쫇튻룶폐3룶뇤솿ꆢ9룶풼쫸늻뗈쪽뗄듳맦-4T)뫍(7,-4T),룷쳵맬쿟뚼쫕솲폚ퟮ폅뷢쒣폅뮯컊쳢.룹뻝럇쿟탔짱뺭췸싧뗄쒣쓢쯣램샻33x=(,),f(x)=.폃Matlab뇠돌쟳뷢쇋CNP(13),믱뗃ퟮ폅뷢X3=헢룶쪵샽쮵쏷놾컄쳡돶뗄뛠욷없ퟮ폅뚨볛쒣(,,).틲듋,A웳튵펦떱탍쟳뷢랽램뻟폐폅풽뗄탔쓜.캪죽룶욷없짨뚨뗄ퟮ폅볛룱럖뇰캪,뫍ꆡ뛠욷없ퟮ폅뚨볛뗄쪵볊낸샽4ꆡ뷡싛A웳튵짺닺죽룶욷없뗄춬샠닺욷,틑쫔춶죫쫐뎡,늢닉폃쫔쿺볛룱쿺쫛튻뛎쪱볤.쿖퓚룃웳튵놾컄뛔춬튻볒웳튵짺닺뛠훖욷없뗄춬튻샠닺폻캪헢죽룶욷없럖뇰짨볆쫊떱뗄쿺쫛볛룱.쫔쿺욷헢훖짌컱쪵볹훐뗄닺욷뚨볛붨솢쇋튻냣뮯뗄럇' 1994-2007 China Academic Journal Electronic Publishing House. All rights reserved.
뗚3웚ꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡ뛅ꆡ죙뗈:춬샠닺욷뛠욷없뗄ퟮ폅뚨볛쒣탍ꆪ73ꆪ쿟탔쒣탍,뿉폃살뷢뻶떥뷗뛎뛠욷없뗄ퟮ폅뚨볛뛎뗄ퟜ샻죳ퟮ듳,뛔폚펪쿺맜샭쪵볹뻟폐훘튪횸컊쳢.퓚듳솦쳡뎫뿆톧뮯맜샭뗄뷱쳬,샻폃놾컄쳡떼틢틥.캴살뷸튻늽뗄퇐뺿랽쿲퓚폚뛠뷗뛎쟩뿶돶뗄뛠욷없ퟮ폅뚨볛샭싛뫍랽램,뿉틔뇈뷏뿆톧쿂뛠욷없뗄ퟮ폅뚨볛퇐뺿뫍탨쟳쯦믺쟩뿶쿂뛠욷뗘캪닺욷짨볆볛룱,뺡뿉쓜쪹웳튵퓚쒳룶쒿뇪뷗없뗄ퟮ폅뚨볛퇐뺿.닎뾼컄쿗:\[1\M]-TechnologyProductsandInnovations\[M\].NewJersey:Prentice-HallInc.,ꆪ523.\[2\뿆]쳘샕ꆤ럆샻웕(KotlerP).펪쿺맜샭ꆪꆪꆪ럖컶ꆢ볆뮮ꆢ횴탐뫍뿘훆\[M\].짏몣:짏몣죋쏱돶냦짧,ꆪꆪAnalysis,Planning,Implementation,andControl\[M\].Shanghai:ShanghaiPeopꆯlesPublishcr,Prentice-Hall,ꆪ429.(inChinese)\[3\M]cAlisterL,-seekingbehavior:Aninterdisciplinaryreview\[J\].JournalofConsumerResearch,1982(,9):311ꆪ322.\[4\S]chiffmanLG,(펢컄냦)\[M\].Prentice-Hall,Inc.놱뺩:쟥뮪듳톧돶냦짧,ꆪ,\[M\].Beijing:TsinghuaUniversityPrcss,Prentice-Hall,1997.ꆪ718.(inEng2lish)\[5\K]rishnaTV,BassFM,\[J\].ManagementScience,1999,4(512):1650ꆪ1663.\[6\]FengY,-timeyieldmanagementmodelwithmultiplepricesandreversiblepricechange\[J\].Management2Science,2000,46(5):644ꆪ657.\[7\]KrishnaTV,BassFM, 1994-2007 China Academic Journal Electronic Publishing House. All rights reserved.
ꆪ74ꆪ맜ꆡ샭ꆡ뿆ꆡ톧ꆡ톧ꆡ놨ꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡ2004쓪6퓂OptimalpricingmodelforvariousbrandswithinproductcategoryDUR1ong,HUQi22ying,,XidianUniversity,Xiꆯan710071,China;,ShanghaiUniversity,Shanghai201800,China;,XidianUniversity,Xiꆯan710071,ChinaAbstract:Thepurposeofthispaperistomodeltheoptimalpricingprobleminthefollowingbusinesspractices:,characterizingthecomplexinteractionsamongprice,salesvolume,andcostperu2nit,andtheresultingsophisticatedinfluenceonafirmꆯ,,weevaluatetheperformanceoftheneuralnetworkalgorithm,,weillustrateanexampleofpricingforthreebrands,builditsoptimalpricingmodel,:pricing;variousbrands;neuralnetwork(짏뷓뗚68튳)\[11\E]l2YanivR,KanielR,\[J\].Algorithmica,1999,25:116ꆪ140.\[12\]MacCrimmonKR,:TheManagementofUncertainty\[M\].London:TheFreePress,1986.\[13\]BorodinA,IraniS,RaghavanP,\[J\].JournalofComputerandSystemScience,1995,50(2):244ꆪ,XUYin2feng,,XiꆯanJiaotongUniversity,Xiꆯan710049,China;,XiꆯanJiaotongUniversity,Xiꆯan710049,ChinaAbstract:,(usuallytheofflineoptimalalgorithm).,:leasing;on2linealgorithm;competitiveanalysis;risk2rewardmodel' 1994-2007 China Academic Journal Electronic Publishing House. All rights reserved.
