뗚12뻭ꆡ뗚2웚퓋ꆡ돯ꆡ폫ꆡ맜ꆡ샭,쓪4퓂OPERATIONSRESEARCHANDMANAGEMENTSCIENCEApr.,2003ꆡꆡ컯쇷훐엤쯍쟸폲폫엤쯍슷쿟뗄췸싧폅뮯램돘뷠,ꆡ샮샲(훘쟬붻춨톧풺맜샭릤돌쾵,훘쟬400074)햪ꆡ튪:놾컄쳖싛컯쇷훐엤쯍쟸폲뗄뮮럖폫엤쯍슷쿟뗄톡퓱컊쳢,펦폃췸싧ꆢ춼싛뗄폅뮯랽램,뷢뻶엤쯍쟸폲뗄뮮럖폫엤쯍슷쿟뗄톡퓱컊쳢ꆣ맘볼듊:퓋돯톧;믵컯엤쯍;췸싧폅뮯;ퟮ뛌슷;뚯첬맦뮮훐춼럖샠뫅:O224ꆡꆡꆡ컄헂뇪쪶싫:Aꆡꆡꆡ컄헂뇠뫅:100723221(2003)0220123205NetworkꆯsOptimizeMethodsofDeliverAreaAndDeliverPathsInLoglsticsCHIJie,LILi(DepartmentofManagementEngineering,ChongqingJiaotongInstitute,Chongqing400074,China)Abstract:Inthispaper,:physicaldistribution;shortestpath;dynamicprogramming0ꆡ틽퇔컯쇷톧쫇떱듺폐펰쿬뗄탂톧뿆횮튻ꆣ쯻틔컯뗄뚯첬맽돌캪훷튪퇐뺿뛔쿳,뷒쪾쇋컯쇷믮뚯뗄쓚퓚솪쾵,쪹컯쇷쾵춳퓚뺭볃믮뚯훐듓잱틾ힴ첬쿔쿖돶살[1]ꆣ튪쪵쿖컯쇷뗄쪱볤킧틦뫍뿕볤킧틦,컯쇷쾵춳훐폐튻훘튪뗄뮷뷚,벴:컯쇷뗄엤쯍쳥쾵ꆣ뛔엤쯍췸싧쳥쾵살쮵,폐떥닣듎믲뛠벶ꆢ뛠닣듎췸싧쳥쾵,웳튵뿉룹뻝ퟔ짭뗄뺭펪맦쒣ꆢ랶캧ꆢ훖샠뗈,좷뚨붨솢뫎훖탎쪽ꆢ맦쒣뗄엤쯍쳥쾵ꆣ떫컞싛붨솢뫎훖샠탍엤쯍쳥쾵,뚼듦퓚쿂솽랽쏦뗄컊쳢:(1)뚨쎿룶엤쯍훐탄뫏샭뗄엤쯍쟸폲;(2)엤쯍맽돌훐엤쯍슷쿟뗄톡퓱ꆣ평폚퓚믵컯엤쯍맽돌훐,퓋쫤럑폃쫇돉놾릹돉훷튪틲쯘횮튻,틲듋,좷뚨퓋쫤뻠샫ퟮ뛌뗄랽낸,쫇훆뚨엤쯍볆뮮펦룃뾼싇뗄컊쳢ꆣ놾컄붫닉폃췸싧춼싛뗄랽램뛔컊쳢(1)ꆢ(2)뷸탐쳖싛ꆣ뛔컊쳢(1),춨맽뮯뿉붫룃컊쳢뮯캪폐듎쿞훆뗄ퟮ킡횧독쫷컊쳢[2];뛔컊쳢(2),놾컄뛔컊쳢(2)닉폃뚯첬맦뮮풭샭랽램,늢룸돶룃컊쳢뗄뚯첬맦뮮뷢램,캪훆뚨뫏샭뗄엤쯍슷쿟랽낸쳡릩폐킧뗄랽램ꆣ1ꆡ엤쯍랶캧뗄뮮럖111ꆡ컊쳢뗄춼싛뇭쪾뛔폫쟸폲엤쯍훐탄뫍믹닣엤쯍훐탄살쮵,웤쳘뗣쫇:믮뚯랶캧뷏킡,벴쯍뗄믵컯틔킡엺솿캪훷,벴횱뷓쿲폃뮧엤쯍컯;폐쪱폖뗃내헕룷룶쇣쫛짌뗄튪쟳엤쯍컯ꆣ볙죧쒳웳튵틔퓚쒳돇쫐(뗘쟸)붨솢쇋k룶엤쯍훐탄(n>k),룃돇쫐폐n-k룶뻓쏱쟸(뷓믵뗣),쎿쫕룥죕웚:2002210211ퟷ헟볲뷩:돘뷠(19562),쓐,훘쟬쫐죋,훘쟬붻춨톧풺뢱뷌쫚,훷튪듓쫂췸싧폅뮯벰펦폃퇐뺿;샮샲(19772),얮,훘쟬쫐죋,훘쟬붻춨톧풺뷌쪦ꆣ' 1994-2010 China Academic Journal Electronic Publishing House. All rights reserved.
124퓋ꆡ돯ꆡ폫ꆡ맜ꆡ샭ꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡ2003쓪뗚12뻭룶엤쯍훐탄뗄엤쯍쓜솦,틔뿉돐떣뛠짙룶뻓쏱쟸(뷓믵뗣)살좷뚨,b(jj=1,2,3,ꆭ,k)뇭쪾뗚j룶엤쯍훐탄뿉돐떣bj룶뻓쏱쟸(뷓믵뗣)뗄엤죎컱,쎿룶뷓믵뗣폫엤쯍훐탄횮볤뚼폐뗀슷솬춨ꆣ볙죧쎿룶엤쯍훐탄뗄엤쯍랶캧뗄뮮럖,틔퓋쫤뻠샫ퟮ뛌캪쒿뇪,뿉붫컊쳢(1)뮯캪췸싧훐뗄폅뮯컊쳢ꆣ짨G=(V,E,W)쫇틔V캪뚥뗣벯,틔E캪뇟벯,틔W캪뢳좨벯뗄솬춨춼[3]ꆣ웤훐:(1)V={v0,v1,v2,v3,ꆭ,vn}뇭쪾춼뗄뗣벯(2)Vk={vi1,vi2,vi3,ꆭ,vik}캪엤쯍훐탄릹돉뗄뗣벯,VkΑV;(3)V\Vk뇭쪾n-k룶뷓믵뗣:(4)E={eij=(vi,v)j:vi,viꇊV},eij뇭쪾vi폫vj횮볤횱뷓폐뗀슷쿠솬;(5)W={w(vi,v)j=wij:(vi,v)jꇊE},wij뇭쪾vi폫vj횮볤횱뷓뗀슷뗄뎤뛈ꆣ짨춼G뗄횧독ퟓ춼T=(V,E(T),W(T)),죴:뛔죎뫎viꇊV폐:d(tj)=|{vj:(vi,v)jꇊE(T)}|(뇭쪾vi퓚춼T훐뗄듎),죧맻튪쪹춼G뗄횧독ퟓ춼T싺ퟣ엤쯍훐탄폫뷓믵뗣뗄맘쾵튪쟳,뻍뇘탫싺ퟣ틔쿂쳵볾:(a)쎿룶뷓믵뗣훁짙폐튻룶엤쯍훐탄뢺퓰쯍믵,벴:뛔죎틢viꇊV\Vk,듦퓚vjꇊVk,쪹vi폫vj퓚E(T)훐폐슷솬춨;(b)쎿룶엤쯍훐탄뢺퓰뗄랶캧늻쓜뎬맽엤쯍쓜솦,벴:뛔죎틢vjꇊVk,d(tj)=|vi:vi폫vj퓚춼T훐폐슷솬춨,쟒viꇊV\Vk|,d(tj)ꇜbjꆣ짨H쫇싺ퟣ쳵볾(a)춼G훐쯹폐횧독춼ퟩ돉뗄벯뫏W(T)=minꆡ6w(1)(i,j)(i,j)ꇊE(T):TꇊH떱H쫇싺ퟣ쳵볾(a)ꆢ(b)춼G훐쯹폐횧독춼ퟩ돉뗄벯뫏,뛔틽퇔훐쳡돶뗄컊쳢2뿉쿂쇐컊쳢뗄폅뮯:W(T)=min6w(i,j)(2)(i,j)ꇊE(T);TꇊH112붫컊쳢뮯캪ퟮ킡횧독쫷컊쳢쫗쿈뛔춼G뷸탐삩돤,퓚춼G뗄뷡뗣췢퓙퓶볓튻룶뷡뗣vn+1,퓚뷡뗣vn+1폫Vk횮볤럖뇰퓶볓튻쳵뇟,뗃떽춼G0=(V0,E0,W0),웤훐0:V=Vꇈ{vn+1};E0=Eꇈ{vn+1,v)j:vjꇊVk};W0=Wꇈ{w(vn+1,v)j=0:vjꇊVk}ꆣ뚨샭1ꆡ짨T0쫇춼G0뗄ퟮ킡횧독쫷ꆣ릹퓬죧쿂T:V(T)=V0\{vn+1}=V;E(T)=E0(T0)\{(vn+1,v)j:vjꇊVk}ꆣ퓲T캪(1)뗄ퟮ폅뷢쟒W(T0)=W(T)ꆣ횤쏷ꆡ내헕T뗄릹퓬랽램,T쿔좻쫇(1)뗄뿉탐뷢ꆣ틲캪w(vn+1,v)j=0,vjꇊV,쯹틔W(T0)=W(T)ꆣ죧맻T늻쫇(1)뗄ퟮ폅뷢,짨T3쫇(1)뗄ퟮ폅뷢,W(T3)<W(T)=W(T0)ꆣ릹퓬죧쿂T1:V(T1)=Vꇈ{vn+1};E(T1)=E(T3)ꇈ{(vn+1,v)j:vjꇊVk};w(vn+1,v)j=0,vjꇊVkꆣT1쫇춼G0뗄횧독춼,퓚춼T1훐,뛔죎틢vj,viꇊVk솽뗣,춨맽뗣vn+1솬춨ꆣ내헕쳵볾(a),뛔죎틢viꇊV\Vk,듦퓚vjꇊVk,쪹vi폫vj퓚E(T3)훐폐슷솬춨,E(T1)ΒE(T3),T1쫇춼G0뗄솬춨횧독춼,쿔좻W(T3)=W(T1)ꇝW(T0),폫짨T0쫇춼G0뗄ퟮ킡횧독쫷쎬뛜ꆣ맊T쫇(1)뗄ퟮ폅뷢ꆣ뚨샭2ꆡ짨T쫇춼G훐컊쳢(1)뗄ퟮ폅뷢ꆣ릹퓬죧쿂T0V(T0)=Vꇈ{vn+1};E0(T0)=E(T)ꇈ{(vn+1,v)j:vjꇊVk};w(vn+1,v)j=0,vjꇊVkꆣ퓲T0쫇춼G0뗄ퟮ킡횧독쫷쟒W(T0)=W(T)ꆣ횤쏷ꆡ평뚨샭1뗄횤쏷맽돌뿉횪:T0쫇춼G0뗄솬춨횧독춼,볙짨춼T0늻쫇쫷,퓲퓚춼T0훐듦퓚좦C=(vi1,vi2,vi3,ꆭ,vim),쟒|V(C)|=mꇝ3;평춼T0릹퓬랽램뿉뗃:E(C)ꇉE(T)ꇙ«,럱퓲E(C)Α{(vn+1,v)j:vjꇊVk},C=(vi1,vi2,vi3,ꆭ,vim)늻쫇좦,틲듋듦퓚(vi,v)jꇊE(C),쪹w(vi,v)j=wij>0ꆣ좡T1=T0\(vi,v)j,T1튲쫇춼G0뗄솬춨횧독춼,쟒W(T1)<W(T0),짨T3쫇춼G0뗄ퟮ킡횧독쫷,W(T3)ꇜW(T1),폫뚨샭1뗄뷡싛쎬뛜ꆣ틲듋뚨샭뷡싛돉솢ꆣ췆싛1ꆡ짨T쫇춼G훐컊쳢(1)뗄ퟮ폅뷢,퓲퓚춼G0훐E(vn+1)ꇉE(T)=«ꆣ' 1994-2010 China Academic Journal Electronic Publishing House. All rights reserved.
뗚2웚ꆡꆡꆡꆡꆡꆡꆡꆡꆡ돘뷠,뗈:컯쇷훐엤쯍쟸폲폫엤쯍슷쿟뗄췸싧폅뮯램125횤쏷ꆡ내헕뚨샭2뗄횤쏷맽돌뿉뗃ꆣ췆싛2ꆡ짨T쫇춼G훐컊쳢(1)뗄ퟮ폅뷢,퓲뛔죎틢viꇊV\Vk폐쟒뷶폐튻룶vjꇊVk,쪹vi폫vj퓚E(T)훐폐슷솬춨ꆣ췆싛2뿉틔평뚨샭1,뚨샭2뗄뷡싛뫍횤쏷맽돌뗃돶ꆣ뛔컊쳢(2),죧맻춼G싺ퟣ틔쿂쳵볾:뛔죎틢viꇊV\Vk,듦퓚vjꇊVk,쪹vi떽vj뗄ퟮ뛌슷뻠샫ꇜbj;6bjꇝn-kꆣ퓚춼G튻뚨듦퓚싺ퟣ쳵볾(a)ꆢ(b)뗄횧독ퟓ춼T,컊쳢(2)듦퓚ퟮ폅뷢ꆣvꇊVjm춬샭뿉횤쿂쫶뷡싛ꆣ췆싛3ꆡ짨T0쫇춼G0뗄ퟮ킡횧독쫷:뛔죎틢vjꇊVk,d(tj)ꇜbjꆣ릹퓬죧쿂T:V(T)=V0\{vn+1}=V;E(T)=E0(T0)\{(vn+1,v)j:vjꇊVk}ꆣ퓲T캪(1)뗄ퟮ폅뷢쟒W(T0)=W(T)ꆣ짏쫶맽돌뇭쏷:뷢컊쳢(1)뿉춨맽쟳춼G0=(V0,E0,W0)뗄ퟮ킡횧독쫷;뷢컊쳢(2)뿉펦폃컄쿗[2]쳡돶뗄쯣램쟳뷢ꆣ평뚨샭1ꆢ뚨샭2ꆢ췆싛1ꆢ췆2ꆢ췆싛3뿉뗃틔쿂탔훊:뛔엤쯍쟸폲뗄뮮럖쏷좷,쪹쎿룶뷓믵뗣횻폐튻룶엤쯍훐탄뢺퓰쯍믵ꆣ샽ꆡ죧춼캪엤쯍훐탄폫뷓믵뗣뗄럖늼춼춼(G1)퓚춼훐엤쯍훐탄캪Vm={v0,v8},쟒b0=5,b8=4;W={w(0,1)=3,w(0,2)=3,w(2,1)=2,w(4,1)=3,w(2,3)=1,w(3,4)=5,w(3,5)=2,w(2,8)=4,w(6,8)=3,w(6,7)=5,w(5,6)=2,w(7,8)=4,w(4,5)=3}ꆣ룃컊쳢엤쯍훐탄v0,v8쯹좷뚨뗄엤쯍쟸폲춼캪T(v0)ꆢT(v8)T(v0)ꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡT(v8)2ꆡ쯍쿟슷뗄톡퓱엤쯍슷쿟뗄톡퓱컊쳢쫇퓚엤쯍훐탄뗄엤쯍쟸폲뮮럖틑뺭좷뚨틔뫳,뛔쒳룶엤쯍훐탄쎿듎엤쯍뗄튪쟳,쯹훆뚨뗄엤쯍슷쿟뗄톡퓱랽낸ꆣ' 1994-2010 China Academic Journal Electronic Publishing House. All rights reserved.
126퓋ꆡ돯ꆡ폫ꆡ맜ꆡ샭ꆡꆡꆡꆡꆡꆡꆡꆡꆡꆡ2003쓪뗚12뻭룃컊쳢폫춼싛훐뗄믵색떣컊쳢뗄쟸뇰,믵색떣컊쳢쫇횸:튻룶췆쿺풱탨튪좥n룶돇쫐췆쿺닺욷,듓쒳룶돇쫐돶랢,뺭맽웤쯻n룶돇쫐튻듎쟒뷶뷶튻듎,퓙랴믘떽풭돶랢돇쫐,쫔컊,죧뫎톡퓱탐돌슷쿟,쪹ퟜ슷돌ퟮ뛌[3]ꆣ떫퓚뫜뛠쪵볊컊쳢훐,늢늻튪쟳ꆰ췆쿺풱ꆱ좥n룶돇쫐훐뗄쯹폐돇쫐,뛸횻튪쟳좥n룶돇쫐훐뗄쒳m(mꇜn)룶돇쫐,퓙략믘떽풭돶랢돇쫐,컊,죧뫎톡퓱탐돌슷쿟,쪹ퟜ슷돌ퟮ뛌,뿉돆캪늻췪헻뗄믵색떣컊쳢ꆣ샽죧:쒳쿺쫛짌룹뻝튻뛎쪱볤쓚뗄짌욷뗄쿺쫛쟩뿶,폃쯍믵뎵솾붫짌욷쯍떽룷폃뮧,죧뫎톡퓱탐돌슷쿟,쪹ퟜ슷돌ퟮ뛌뗈컊쳢ꆣ짨쒳엤쯍훐탄뢺퓰b룶뷓믵뗣V3={v1,v2,v3,ꆭ,vb},v0캪엤쯍햾,G=(V,E,W)평돇쫐뗀슷릹돉뗄췸싧춼,V=V3ꇈ{v0},E,W럖뇰뇭쪾돇쫐뗀슷릹돉뗃뇟벯,틔벰뗀슷뎤뛈릹돉뗃좨벯ꆣ폐튻엤쯍죎컱,듓v0엤쯍돶랢,붫믵컯쯍떽m(mꇜb)룶뷓믵뗣Vm={vi1,vi2,vi3,ꆭ,vim},늢믘떽v0,컊죧뫎톡퓱엤쯍슷쿟,쪹쯍믵슷쿟ퟮ뛌ꆣ볇Vm={vi1,vi2,vi3,ꆭ,vim}ΑV\{v0}(mꇜb),|Vm|=m(힢:Vm훐뗄뷡뗣뇭쪾뷓믵뗣,v0뇭쪾엤쯍햾)ꆣP쫇춼G훐듓v0돶랢뺭맽Vm훐쯹폐뷡뗣,략믘떽v0뗄쯹폐뇕솴ퟩ돉뗄벯뫏(쎿쳵뇕솴캪P훐뗄풪),psꇊP,쟒VmΑV(pS)\{v0},웤훐V(ps)뇭쪾ps짏뗄뷡뗣,E(ps)뇭쪾ps짏뗄뇟벯ꆣmin6w(i,j)(3)(i,j)ꇊE(P):pꇊP쟳뷢컊쳢(3)쪱,쫗쿈컊쳢(2)쟳뷢뗃떽뗄쒳엤쯍훐탄엤쯍쟸폲뮮럖춼T(jvjꇊVk),퓚춼G훐뮹풭돉춼Gퟓ춼G(T)j,죧:춼T(v0)뿉뮹풭돉쿂춼:춼(G(T(v0)))퓙내헕뚯첬맦뮮뗄랽램쟳뷢ꆣ내헕뚯첬맦뮮뗄믹놾풭샭뫍랽램ꆣ(1)붫컊쳢뗄맽돌뮮럖캪m룶뷗뛎(놾듎뗄m룶뷓믵뗣),뷗뛎뇤솿kꆣ(2)ힴ첬뇤솿(vj,S):vjꇊVm,vj뇭쪾쯍믵뎵솾듓v0ퟟ떽vj,S뇭쪾떽vj횮잰춾훐쯹뺭맽뗄뷓믵뗣뗄벯뫏,SΑVmꆣ(3)뻶닟:뇭쪾캪평튻룶뷓믵뗣v(jvjꇊVm)ퟟ떽쇭튻룶뷓믵뗣v(iviꇊVm)ꆣ(4)ퟮ폅횸뇪몯쫽:fk(vj,S)=minfk-1(viꇊ{i,S/{vi})+|pij|}ꆡ(k=1,2,3,ꆭ,m)S웤훐,pi|pji|럖뇰뇭쪾vj떽vi뗄ퟮ뛌슷뫍ퟮ뛌슷뗄샯돌ꆣ뇟뷧쳵볾캪f0(vj,«)=|p0j|},j=1,2,3,ꆭ,mꆣ샽2ꆡ내춼(G(T(v0))듓v0춾뺶Vm={v1,v2,v4}략믘v0,쟳ퟮ뛌뮷폎슷쿟벰슷돌ꆣ뷢ꆡ폃뚯첬맦뮮랽램,평뇟뷧쳵볾뿉횪:f0(v1,«)=|p0,1|=3;f0(v2,«)=|p0,2|=3;f0(v4,«)=|p0,4|=6떱k=1쪱:f1(v1,{v2})=f0(v2,«)+|p2,1|=3+2=5f1(v1,{v4})=f0(v4,«)+|p4,1|=6+3=9f1(v2,{v4})=f0(v4,«)+|p4,2|=6+5=11f1(v2,{v1})=f0(v1,«)+|p1,2|=3+2=5f1(v4,{v1})=f0(v1,«)+|p1,4|=3+3=6f1(v4,{v2})=f0(v2,«)+|p2,4|=3+5=8떱k=2쪱:ꆡꆡꆡꆡꆡꆡf2(v1,{v2,v4})=min{f1(v2,{v4})+|p2,1|,f1(v4,{v2})' 1994-2010 China Academic Journal Electronic Publishing House. All rights reserved.
뗚2웚ꆡꆡꆡꆡꆡꆡꆡꆡꆡ돘뷠,뗈:컯쇷훐엤쯍쟸폲폫엤쯍슷쿟뗄췸싧폅뮯램+|p4,1|}=min{11+3,8+3}=11ꆡꆡꆡꆡꆡꆡf2(v2,{v1,v4})=min{f1(v4,{v1})+|p4,2|,f1(v1,{v4})+|p2,1|}=min{8+5,9+2}=11ꆡꆡꆡꆡꆡꆡf2(v4,{v1,v2})=min{f1(v1,{v2})+|p1,4|,f1(v2,{v1})+|p2,4|}=min{5+3,5+5}=8떱k=3쪱:ꆡꆡꆡꆡꆡf2(v0,{v1,v2,v4})=min{f2(v1,{v2,v4})+|p1,0|,f2(v2,{v1,v4})+|p2,0|,f2(v4,{v1,v2})+|p4,0|}=min{11+3,11+3,8+6}=14평듋뿉횪ퟮ뛌뮷폎샯돌캪14,쿟슷폐솽쳵,P1(v0,v1,v4,v1,v2,v0);P2(v0,v2,v1,v4,v1,v0)ꆣ3ꆡ뷡쫸폯룃쯣램뾪랢돉볆쯣믺죭볾뫳,퓚쪵볊펦폃훐,뛔믵컯엤쯍슷쿟랽낸뗄톡퓱,킧맻뷏뫃ꆣ닎뾼컄쿗[1]헅컀탇.컯쇷톧[M].놱뺩릤튵듳톧돶냦짧,2002쓪1퓂.[2]쇵헱뫪,십훖?,훬폀뷲,닌쎯돏.뻟폐듎쿞훆뗄ퟮ킡쫷컊쳢[J].펦폃쫽톧톧놨.(1):1212.[3]BondyJA,[M]..훐맺뿆킭2003쓪톧쫵쓪믡헷컄춨횪훐맺뿆킭2003쓪톧쫵쓪믡붫폚2003쓪9퓂13죕훁16죕퓚쇉쓾쪡짲퇴쫐헙뾪,믡잰헽쪽돶냦싛컄햪튪컄벯ꆣ싛컄햪튪컄벯붫쫕슼놨쏻닎볓쓪믡훷쳢믡뎡뫍럖믡뎡붻쇷뗄톧쫵싛컄햪튪,쾣췻좫맺맣듳뗄뿆벼릤ퟷ헟쓜붫ퟔ벺뗄ퟮ탂뿆퇐돉맻햹쪾폚듋ꆣ춬쪱,놾컄벯늻놣쇴횪쪶닺좨,ퟷ헟뿉볌탸쿲웤쯻뾯컯춶룥ꆣ놾컄벯평훐맺뿆톧벼쫵돶냦짧돶냦ꆣ쟫놨쏻닎볓훐맺뿆킭2003쓪톧쫵쓪믡뗄듺뇭,내헕놾춨횪뗄룷쿮맦뚨컄뫍춶룥ꆣ튻ꆢ톧쫵쓪믡뗄훷쳢뫍믡뎡짨훃(튻)톧쫵쓪믡뗄훷쳢2003쓪쓪믡뗄훷쳢캪ꆰ:좫쏦붨짨킡뾵짧믡:훐맺뿆벼릤ퟷ헟뗄샺쪷퓰죎ꆱꆣ듳믡쳘퇻놨룦붫캧죆쓪믡훷쳢틔벰뿆톧벼쫵뗄잰퇘쇬폲퇻쟫놨룦죋ꆣ(뛾)믡뎡짨훃벰ퟩ횯믡뎡럖캪듳믡쳘퇻놨룦믡뎡ꆢ훷쳢믡뎡뫍럖믡뎡ꆣ듳믡쳘퇻놨룦믡뎡훷튪쓚죝캪훐맺뿆킭ퟩ횯뗄듳믡쳘퇻놨룦;훷쳢믡뎡붫캧죆쓪믡훷쳢뷸탐붻쇷;럖믡뎡평폐맘좫맺탔톧믡뫍쇉쓾쪡ꆢ짲퇴쫐뢺퓰ퟩ횯,뷸탐틔톧뿆좺럖샠뗄ퟛ뫏탔톧쫵붻쇷ꆣ놾컄벯횻쫕슼뺭볒짳퓄뫳슼폃뗄컄헂햪튪,캪믡틩듺뇭퓚믡틩웚볤뗄붻쇷쳡릩랽뇣ꆣ훷쳢믡뎡뫍룷룶럖믡뎡뻹폐뇠뫅,쟫ퟷ헟룹뻝컄헂쓚죝톡퓱쯹닎볓뗄훷쳢믡뎡믲럖믡뎡,늢퓚룶죋놨쏻뇭뫍싛컄햪튪뗇볇뇭훐ힼ좷쳮킴믡뎡뇪쳢뫍뇠뫅,붫싛컄햪튪횱뷓춶뗝떽뢺퓰룷룶믡뎡ퟩ횯릤ퟷ뗄떥캻ꆣ뛾ꆢ헷컄뗄랶캧(튻)훷쳢믡뎡훷쳢믡뎡캧죆놾뷬톧쫵쓪믡훷쳢ꆰ좫쏦붨짨킡뾵짧믡:훐맺뿆벼릤ퟷ헟뗄샺쪷퓰죎ꆱ,뿉틔뾼싇틔쿂쓚죝춶룥:훐맺뿆벼릤ퟷ헟퓚좫쏦붨짨킡뾵짧믡훐뗄샺쪷퓰죎뫍훘튪ퟷ폃;맘폚좫쏦붨짨킡뾵짧믡뗄햽싔쮼뾼폫헾닟붨틩;좫쏦붨짨킡뾵짧믡뫍뿆톧벼쫵랢햹;2020쓪훐맺뿆벼랢햹잰뺰;ퟟ탂탍릤튵뮯뗀슷:틀뾿뿆벼뷸늽뫍쳡룟샍뚯헟쯘훊;췪짆뿆벼럾컱쳥쾵뗄쮼슷뫍랽램뗈ꆣ(뛾)럖믡뎡럖믡뎡캧죆룷룶럖믡뎡쳢짨뚨뗄쓚죝춶룥ꆣ죽ꆢ싛컄햪튪뗄튪쟳(튻)훐맺뿆킭2003쓪톧쫵쓪믡싛컄햪튪뗄ퟷ헟(냼삨퓚뗘랽뿆킭놨쏻뗄ퟷ헟),랲놨쏻훷쳢믡뎡뗄붫싛컄햪튪횱뷓춶뗝떽훐맺벼쫵뺭볃퇐뺿믡,놨쏻룷룶럖믡뎡뗄붫룥볾횱뷓춶뗝떽뢺퓰룷럖믡뎡ퟩ횯릤ퟷ뗄좫맺탔톧믡뫍쇉쓾쪡ꆢ짲퇴쫐뿆킭ꆣ틔짏룥볾튻싉뺭볒움짳즸톡뫳닅뿉슼폃,뇠죫컄벯ꆣ뗘랽뿆킭횻뢺퓰ퟩ췅놨쏻,늻퓙뢺퓰짳퓄싛컄ꆣ(뛾)쟫ퟷ헟내헕잰쫶톧쫵붻쇷훷쳢폫랶캧킴싛컄햪튪,폚2003쓪4퓂30죕잰놨쯍룷룶믡뎡ퟩ횯떥캻ꆣ(죽)싛컄햪튪뗄헷벯ꆢ짳뚨뫍췆볶릤ퟷ,붫평룷룶믡뎡뗄ퟩ횯떥캻뢺퓰ꆣ폐맘좫맺탔톧믡탫ퟩ횯볒뛔쯹헷쫕룥볾뷸탐짳퓄냑맘,퓚싛컄(쿂뗚100튳)' 1994-2010 China Academic Journal Electronic Publishing House. All rights reserved.
