ֻ34जֻ4௹ િฒ॓࿐ඌ 2006୍4ᄅঀӁሧჷቋႪषҐඨथҦଆ࣮李新春1,刘二文2,孙 婷1,鲍俊平1(1.ᇏݓঀြն࿐ܵ࿐ჽ,ࡾ්ྷᇜ 221008;2.ଽܞ၈תિฒࠢႵཋᄳ܄ඳ,ଽܞሙ۬غ 010400)ᅋ ေ:针对我国不同区域矿产资源开采顺序的优化进行理论研究,并以煤炭资源为例进行实证研究bܱՍ:矿产资源;优化;决策模型ᇏٳোݼ:TD8 ໓ངѓ്:B ໓ᅣщݼ:0253-2336(2006)04-0044-04ResearchondecisionmodelofoptimizedminingsequenceforminerialresurcesLIX1in chun,LIUE2r wen,SUN11Ting,BAOJun ping(,ChinaUniversityofMiningandTechnology,Xuzhou 221008,China;.,Zhungeer 010400,China)1 ҂თঀӁሧჷषҐඨथҦุ༢2 ҂თঀӁሧჷषҐඨथҦଆ ҂თঀӁሧჷ֥षҐඨ൳֞ଽຓ҆؟ᇕ Ֆഈٳ༅ॖᆩ,႕ཙ҂თঀӁሧჷषҐඨၹ֥႕ཙb႕ཙঀӁሧჷषҐඨၹٳ3۱Ҫ֥ၹޓ؟,طႻٳູ؟۱ҪՑ,ၹطᄝࡹ৫҂Ցࢲܒ: ঀӁሧჷႪ߄षҐඨ; ႕ཙঀӁთঀӁሧჷषҐඨथҦଆభ൮༵ႋಒק۲ሧჷषҐၹ,ࡼః݂ବູଽຓ҆4۱ٚ૫(ঀၹ֥ᇶՑֹ໊,ࠧ۲ၹᄝथҦᇏ֥ಃᇗbଢభֹᇉሧჷ่ࡱ,ঀषҐඌ่ࡱ,ঀߌಒקၹಃᇗ֥ٚمбࢠ؟,Ч໓ࡼҐ౼ҪՑٳ༅ಙሑঃ,ঀᇛшֹࣜ࠶ሑঃ);!ֻ2Ҫ֥4م(AHP)টಒק۲ҪՑၹᄝथҦ҂თঀ۱ٚ૫ᄜ༥ٳູ18۱ၹ,ࢲܒೂ1෮ൕbӁሧჷषҐඨൈ֥ಃᇗbঀԥਈ่ࡱ2 1 AHPಒק۲ၹಃᇗჰঀֹᇉሧჷ่ࡱֹᇉܒᄯ่ࡱ AHPಒק۲Ҫၹ֥ಃᇗླࣜݖ4҄:ঀӁሧჷᇉਈ(1)ࡹ৫ၹҪՑࢲܒb҂თঀӁሧჷঀӁሧჷᇕোঀӁሧჷڮթ่ࡱषؿथҦၹҪՑ(1)ॖٳູ2۱ҪՑࢲܒbঀӁሧჷषҐЉҐб(2)ܒᄯ؎इᆔbAHP֥ྐ༏ࠎԤᇶေ൞ঀषҐඌ่ࡱঀӁሧჷࢲܒ่ࡱದૌؓૄ၂ҪՑ۲ၹ֥ཌྷؓᇗေྟ۳ԛ֥؎,ঀగީ่ࡱᆃུ؎Ⴈඔᆴіൕԛট,ཿӮइᆔྙൔࣼ൞؎ঀषঀषҐഡСሑঃइᆔb؎इᆔіൕᆌؓഈ၂Ҫଖၹط,ЧҪҐඨሧჷषҐؓಛߊՑაᆭႵܱ֥۲ၹᆭࡗ֥ཌྷؓᇗေྟbೂঀֹঀߌಙሑঃሧჷषҐؓඣჷߊሧჷषҐؓॢగಙᇉሧჷ่ࡱა༯၂Ҫ֥ঀԥਈ่ࡱaֹᇉܒᄯ่ሧჷषҐᄮലಙࡱaঀӁሧჷᇉਈބঀӁሧჷᇕোႵ,ܱᄵܒᄯ֥ঀᄎൻ่ࡱ؎इᆔі1bі1ᇏAູঀֹᇉሧჷ่ࡱ,ঀᇛшࣜ࠶ؿᅚሑঃB1ູঀԥਈ่ࡱ,B2ֹູᇉܒᄯ่ࡱ,B3ູঀӁঀᇛшֹࣜ࠶ሑঃঀӁሧჷ൧ӆླሑঃঀӁሧჷषҐჰҋਘ܂ႋሑঃሧჷᇉਈ,B4ູঀӁሧჷᇕোbbijູؓႿAط,ঀఃӁြࠎԤBiؓBj֥ཌྷؓᇗေྟ֥ඔᆴіൕ,๙ӈbij౼1~9图1 矿区开采顺序决策因素层次结构ࠣః֚ඔ,ఃݣၬູ:ࠎࣁཛଢ:ݓࡅഠ߶॓࿐ࠎࣁሧᇹཛଢ bij=1,іൕBiაBj၂ဢᇗေ;(05CJL017);ࡾ්സۚᅽ࿐ഠ߶॓࿐ࠎࣁሧᇹཛଢ(05SJD630002) bij=3,іൕBiбBjັᇗေ;44
ֻ34जֻ4௹ િฒ॓࿐ඌ 2006୍4ᄅ bij=5,іൕBiбBjૼཁᇗေ;U={U1,U2,U3,U4}ঀԥਈ่ࡱ(0 35) bij=7,іൕBiбBj఼ਛᇗေ; bij=9,іൕBiбBjधؓᇗေbঀֹᇉሧჷ่ࡱֹᇉܒᄯ่ࡱ(0 28)(0 31)ঀӁሧჷᇉਈ(0 23)іঀӁሧჷᇕো(0 14)1 ঀֹᇉሧჷ่ࡱཌྷܱၹAHP؎इᆔඔᆴঀӁሧჷڮթ่ࡱ(0 28)AB1B2B3B4ঀӁሧჷषҐЉҐб(0 16)BঀӁሧჷࢲܒ่ࡱ(0 21)1b11b12bঀঀषҐඌ่ࡱ(0 30)13b14Bঀగީ่ࡱ(0 17)2b21b22b23b24BঀषҐഡСሑঃ(0 18)3b31bष32b33b34BሧჷषҐؓಛߊ(0 30)4b41b42bҐ43b44ඨঀߌಙሑঃሧჷषҐؓඣሧჷߊ(0 30)(0 17)ሧჷषҐؓॢగಙ(0 25) ૌᆭࡗ֥ඔ2,4,6,8ࠣ۲ඔ֥֚ඔऎႵሧჷषҐᄮലಙ(0 15)ཌྷႋ֥োරၩၬbᆜ۱ঀӁሧჷႪ߄षҐथҦ༢ঀᄎൻ่ࡱ(0 28)οᅶၹࢲܒླܒᄯೂഈ5۱؎इᆔbঀᇛшֹࣜ࠶ঀᇛшࣜ࠶ؿᅚሑঃ(0 17)ሑঃঀӁሧჷ൧ӆླሑঃ(0 26)(3)۲ҪՑၹಃᇗಒקb۲ҪՑၹಃᇗ(0 22)ಒקॖၛ݂ࢲູ࠹ෘ؎इᆔ֥หᆘ۴ބหᆘཟਈঀӁሧჷषҐჰҋਘ܂ႋሑঃ(0 13)ঀఃӁြࠎԤ(0 16)໙,ีࠧঀֹᇉሧჷ่ࡱ֥؎इᆔೂіൕູ图2 煤炭资源开采顺序决策因素权重B,࠹ෘડቀ:BW= maxW(1) ఃᇏૄ۱UiႻႵn۱ሰၹ:ঀԥਈ่ࡱ ఃᇏ, max,WູB֥ቋնหᆘ۴ބᆞܿ߃หU11,ֹᇉܒᄯ่ࡱU12,ঀӁሧჷᇉਈU13,ঀӁᆘཟਈ,W֥ٳਈWiࣼ൞ཌྷႋၹ֥ಃᇗbሧჷᇕোU14,ࠧ(4)၂ᇁྟဒbູਔဒइᆔ֥၂ᇁྟ,U1={U11,U12,U13,U14}ླေ࠹ෘ֥၂ᇁྟᆷѓCi,קၬ(2)ࡹ৫ಃᇗࠢbᆃൈॉ੮ಃᇗࠢ,࠻ေॉCi=( max-n)/(n-1)(2)੮۲োၹ֥ಃᇗ,Ⴛေॉ੮ૄ၂োᇏ۲ၹ֥ಃ ఃᇏnູइᆔࢨඔbCiᆴᄀཬᄀݺ,๙ӈCiᇗ,෮ၛླေࡹ৫ਆ۱ٚ૫֥ಃᇗࠢbᆴཬႿन၂ᇁྟᆷѓRiᆴ,Ri౼ᆴі2b ၹোಃᇗࠢ:A={0 31,0 30,0 17,0 22}і2 R౼ᆴקၬi ၹಃᇗࠢ:नइᆔࢨඔA1={0 35,0 28,0 23,0 14}၂ᇁྟ123456789A2={0 28,0 16,0 21,0 17,0 18}Ri000 580 901 121 241 321 411 45A3={0 30,0 30,0 25,0 15}A4={0 28,0 17,0 26,0 13,0 16}2 2 ঀӁሧჷषҐඨथҦၹಃᇗಒק(3)ࡹ৫СᄴࠢbСᄴࠢࣼ൞ؓᆷѓ֥۲ᇕ οᅶഈ૫֥AHPჰಒקԛݓ҂თঀॖିࡎࢲݔቆӮ֥ࠢކb҂ંᆷѓູ؟ഒ,СᄴӁሧჷषҐඨथҦၹಃᇗ,િฒሧჷषҐඨࠢᆺႵ၂۱bࡌקሹ֥ࢲݔ܋Ⴕ4۱,СᄴࠢथҦၹಃᇗೂ2෮ൕbV၂Ϯॖіൕູ2 3 ঀӁሧჷषҐඨथҦଆࡹ৫V={v1,v2,v3,v4}={90,80,70,60} ঀӁሧჷषҐඨथҦଆࡼҐႨ؟ࠩሸކଆ ᆷѓ֥ࡎࢲݔ၂ϮҐႨႪaਅaᇏބҵ,ࠇ,؟ࠩଆሸކ҄ᇧ:ູҐႨ၂ࠩaؽࠩaࠩބඹࠩbႵൈູਔିࡎ(1)ࡼၹٳোbࡼၹࠢUٳӮ4۱ၹࢲݔਈ߄,္ӈҐႨٳᇅ,ೂႪaਅaᇏބҵؓႋሰࠢ:ঀֹᇉሧჷ่ࡱU1,ঀषҐඌ่ࡱٳᆴູ90,80,70ބ60bU2,ঀߌಙሑঃU3,ঀᇛшֹࣜ࠶ሑ(4)၂ࠩଆሸކb෮໌၂ࠩଆ,ঃU4bࠧࣼ൞οૄ၂োᇏ֥۲۱ၹࣉྛሸކbࡌקο45
ֻ34जֻ4௹ િฒ॓࿐ඌ 2006୍4ᄅֻ၂োၹ,ၹ֥ࡎࢲݔඋႿСᄴࠢᇏֻk۱ჭ֥৮උ؇ູ3 ൌ২࣮rik,i=1,2,3,4,k=1,2,3,4bᄵॖၛ֤֞၂۱इᆔR1ູ ၛݓၘषؿބሙСषؿ֥7ն฿િঀູr11r12r13r14২ࣉྛ࣮bі4ᇏ۳ԛਔህࡅؓ7۱ঀ۲োၹr21r22r23r24֥קࢲݔbі4ᇏ7ն฿ঀٳљၛA,B,R1=rC,D,E,F,Gіൕb18۱ᇏ֮Ҫၹၛa,b,31r32r33r34r41r42rc,d,e,f,g,h,I,j,k,i,m,n,o,p,q,r43r44টіൕ,܋טҰ10໊ህࡅ,і4ᇏ۳ԛ֥ඔᆴі इᆔᇏ۲༢ඔіൕοֻ၂োၹࣉྛൈ,۲ၹࢲݔؓႪaਅaᇏބҵ֥৮උ؇bೂൕؓଖঀଖၹህࡅູႪaਅaᇏaҵ֥ದඔbr11іൕᄝؓঀֹᇉሧჷ่ࡱࣉྛൈ,ঀԥਈ่ࡱࢲݔؓႪ֥৮උ؇bᆃ৮උ؇֥ಒק൞Ⴎህࡅ֥ࢲݔಒק֥b২ೂህࡅؓଖ၂ၹі4 7ն฿ঀህࡅࢲݔࣉྛ,ࡌ܋Ⴕ10۱ህࡅࣉྛ,ఃᇏಪঀၹ ູႪaਅaᇏބҵ֥ದඔٳљູ3ࡎabcdefghijklmnopqr,4,2ބ1,ପહھၹؓႪaਅaᇏބҵ֥৮උ؇ࣼٳљູႪ2232322324344342330 3ਅ433434434343343223,0 4,0 2ބ0 1bAᇏ342222222222222332 ॖၛ֤֞οঀषҐඌ่ࡱ,ঀߌҵ112222222111111322ಙሑঃ,ঀᇛшֹࣜ࠶ሑঃൈ֥R2,R3ބR4bᆃဢ,ֻؓ၂োၹࣉྛଆႪ343434434333444333,ࣼਅ434343343334434334ॖ֤֞ࠢBB1ູᇏ222222222232222232Bҵ1111111112110102111=A1R1={b11,b12,b13,b14}(3) ఃᇏႪ232422343423223234,b1jֻູ၂োၹؓႪaਅaᇏaҵ֥৮උ؇bဢॖၛ࠹ෘֻ֤֞ؽaaඹোၹؓਅ434343334343443443CႪaਅaᇏaҵ֥৮උ؇ࠢކᇏ222234222222222222B2,B3,B4bҵ222111211122222211(5)ؽࠩଆሸކb၂ࠩଆࣇ൞Ⴊ434234344443443424ؓૄ၂োᇏ֥۲۱ၹࣉྛሸކ,ູؓଖ၂ঀਅ343443443434334343ঀӁሧჷषҐඨࣉྛथҦ,ߎྶؓૄ၂োၹDᇏ222222222222222222ࣉྛሸކ,ࠧᄜࣉྛ၂Ց,ؽࠩଆሸކҵ111211101011111121bՎൈૄ၂োၹࢲݔBটྙӮؽࠩႪ444423233323343442֥؎इᆔRູਅ434333433422334334Eᇏ222242223233222222B1ҵ010112221132211112B2Ⴊ233223223233343423R=Bਅ2234334434334343443Fᇏ332342222223222222B4ҵ322112222221111121 ؽࠩࢲݔູႪ333343443443444444D=AR={d1,d2,d3,d4}(4)ਅ334434334334343433ᇏ232222222222222222 d1,d2,d3,d4ٳљіൕঀঀӁሧჷषҐඨؓႪaਅaᇏaҵ֥৮උ؇bҵ211111111111101011 ູਔ֤֞ঀঀӁሧჷषҐૼಒඨႵൈ࠹ෘषҐඨ֤ٳv: ০Ⴈі4ᇏඔऌॖၛٳљ֤֞7նঀࣉྛ၂v=90d1+80d2+70d3+60d4(5)ࠩଆൈ֥؎इᆔ,οᅶభ૫ଆൔ vᄀۚঀሧჷᄀႪ༵षҐb(3),ؓ7նঀ4োၹٳљࣉྛ၂ࠩଆ46
ֻ34जֻ4௹ િฒ॓࿐ඌ 2006୍4ᄅ,ࢲݔі5bі6 7նঀሸކࢲݔঀ і5 7նঀֻ2ҪՑ4োၹࢲݔࡎABCDEFGঀঀֹᇉঀषҐႪ0 270 330 270 350 320 270 36ࡎሧჷ่ࡱඌ่ࡱঀߌঀᇛшֹࣜ࠶ਅ0 340 350 350 360 330 310 33Ⴊᇏ0 230 210 220 20 230 250 210 230 240 370 29ਅҵ0 160 110 160 090 120 170 100 350 360 330 29Aᇏ0 290 20 20 24ҵ0 130 20 10 18Ⴊ ۴ऌ7۱ঀषҐඨࢲݔ:ູD,G,0 340 340 310 34ਅB,E,C,A,Fb0 360 360 340 33Bᇏ0 20 20 230 21ҵ4 ࢲ ე0 10 10 120 12Ⴊ0 250 270 290 26 Ֆၛഈ࣮ॖၛुԛ,҂თ֥ঀӁሧჷఃਅ0 360 340 340 37CᇏषҐඨ൳֞؟ᇕၹ֥ᇅჿ,۲ᇕ႕ཙၹᄝथ0 20 270 20 2ҵҦঀषҐඨൈ෮ԩᇶՑֹ໊҂၂bູՎ,ᄝሸ0 190 120 170 17Ⴊ0 340 350 370 36ކॉ੮۲ၹ֥ᇅჿࠎԤഈ,ҐႨҪՑٳ༅ބଆਅ0 340 370 360 33ંؓ҂თ֥၂ᇕঀӁሧჷࣉྛႪषDᇏ0 20 20 20 2Ґ,๙ݖൌᆣ࣮,ٚمކ,ࢲݔॖྛbҵ0 120 080 070 11Ⴊ0 40 250 270 36ҕॉ໓ང:ਅ0 360 320 270 33Eᇏ[1] ౩၂.ᇏݓિฒ۽ြ:ဆэࠣభࣟ(ഈ,༯)[J].ᇏݓ0 20 280 250 2ҵঀြ,2001(1).0 040 150 210 11[2] ჯݓ.ঀӁሧჷაॖӻ࿃ؿᅚ࣮[J].ֹთ࣮აؿႪ0 250 230 270 34ਅᅚ,1997(3).0 250 340 340 35Fᇏ[3] ྷඹ.ঀӁሧჷაഠ߶ॖӻ࿃ؿᅚ[J].॓ࣉ҄აؓ0 280 260 220 2ҵҦ,2000(2).0 220 170 170 11[4] ဗӄૼ.ঀӁሧჷॖӻ࿃ؿᅚ࣮֥ࣉᅚ[J].ᇏݓֹᇉႪ0 30 370 380 4ਅঀӁࣜ࠶,1999(6).0 340 330 320 35Gᇏ[5] Ⴥೋབ.ঀӁሧჷᄝ༆҆նषؿᅞᇏֹ໊֥[J].ᇏݓ0 230 20 20 2ҵֹᇉն࿐࿐Б,2001(6).0 130 10 10 05[6] ڈఓૼ.ঀӁሧჷሸކ০Ⴈაॖӻ࿃ؿᅚ໙ี࣮[J].ঀӁሸކ০Ⴈ,2000(1).[7] ᅦზሜ.༆҆նषؿᅞᇏ֥િฒ۽ြॖӻ࿃ؿᅚ[J]. і5ᇏ۳ԛ֥൞7նঀࣉྛ၂ࠩଆࢲݔ,ࠧ۲ঀֻ2ҪՑ4োၹࢲݔbࠧ۳ԛ༆ν॓࿐ჽ࿐Б,2000(ᄹ़).ਔ[8] ඎၿ.ંሧჷაߌ֥ླྀטؿᅚ[J].െࡅሌࣜ࠶࿐ჽ7նঀؽࠩଆइᆔ,ಖު০Ⴈൔ(4)ބൔ(5)ٳљؓ7۱ঀࣉྛሸކ,ࢲ࿐Б,1998(2).[9] फ.ঀӁሧჷॖӻ࿃षؿ০Ⴈ֥༢࿐නॉ[J].ݓݔі6b০Ⴈі6ࢲݔٳљ࠹ෘ۲ঀቋު֤ٳაሱಖሧჷ࣮,2001(3).ູ[10] ྍԽ.ႋႨҪՑࢲܒപࣜຩࡎ฿ঀሧჷ่ࡱAঀ֤ٳv1=77 2[J].ᇏݓঀြն࿐࿐Б,1998(2).[11] ᅦೋྍ.฿િโषؿՑაषҐ۽ၜႪ߄थҦᇆି༢Bঀ֤ٳv1=79 0Cঀ֤ٳ֥࣮[D].Кࣘ:ᇏݓঀြն࿐,=77 3Dঀ֤ٳv1=79 7Eঀ֤ٳ ቔᆀࡥࢺ:李新春(1972-),ଳ,༆ඬᇜದ,ڬ࢝൱,Ѱv1=78 5ൖު,གྷᄝᇏݓঀြն࿐ܵ࿐ჽ۽ቔbFঀ֤ٳv1=76 8Gঀ֤ٳv1=79 5收稿日期:2006-02-13;责任编辑:李军涛47
