层次分析法在城市防洪工程方案选择中的应用

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5120073JournalofWaterResourcesandArchitecturalEngineeringVol.5No.1Mar.,2007:2006208230:2006209208:(1981),(),,,,,(,430072):,,,:;;;:TV87:A:16721144(2007)01005204ApplicationofAnalyticHierarchyProcess(AHP)inChoosingEngineeringSchemeofUrbanFloodControlHUANGJun,FUXiang,KEZhi2bo(CollegeofWaterConservancyandHydroelectricPower,WuhanUniversity,Wuhan,Hubei430072,China)Abstract:Applyingthebasicdecision2makingtheoriesofAnalyticHierarchyProcess(AHP),themodelofAna2lyticHierarchyProcessforchoosingtheengineeringschemeofurbanfloodcontrolisestablished.Combiningwiththepracticalconditionsofaproject,thecomprehensiveevaluationfortheengineeringschemesofurbanfloodcontrolismadebyusingtheprincipleofAnalyticHierarchyProcessandthemethodofgreyrelevancyanal2ysis.Keywords:AnalyticHierarchyProcess;urbanfloodcontrol;grayrelevancyanalysis;comprehensiveevalua2tion0,,,,,;,;,;,[1],(AnalyticHier2archyProcess,AHP),,1[23](T.L.Saaty)2070,1982,():,,,,AHP,4:(1);(2);(3);(4)()(),1AHP1AHP1.1;,,;,,,2[1]21.2,,(aij)nn,aij0,aji=1aij;i,j=1,2,,n,19,1,,1aij1ij3ij5ij7ij9ij2,4,6,8ij,aji=1/aij,aii=12(A-B)AB1B2B3B4B11375B21/3153B31/71/511/3B41/51/3313(B1-C)B1C1C2C111C2114(B2-C)B1C3C4C5C3153C41/511/3C51/3315(B3-C)B3C6C7C611C7116(B4-C)B4C8C9C10C8133C91/311C101/3111.3,,,351,:,(1)MiMi=nj=1aiji=1,2,,n(1)(2)MinWiWi=nMi(2)(3)W=[W1,W2,,Wn]T,wiwi=Wi/ni=1Wi(3)W=(w1,w2,,wn)T,,(4)maxmax=ni=1(AW)inwi(4),AWiAWi(5)CI(Consi2stencyIndex):CI=(max-n)/(n-1)(5)CR(ConsistencyRatio):CR=CI/RI;RISaatyRI,77123456789RI0.000.000.580.901.121.241.321.411.45CR0.1,,;,,5,81.4A,C1C109:CI=mj=1wjCIj=0.5640+0.2630.019+0.0550+0.1180=0.0050RI=mj=1wjRIj=0.5640+0.2630.58+0.0550+0.1180.58=0.2210CR=CI/RI=0.02260.1,8WmaxCIRICRA-B(0.564,0.263,0.055,0.118)T4.1170.0390.90.043B1-C(0.5,0.5)T2000B2-C(0.637,0.105,0.258)T3.3090.0190.580.03B3-C(0.5,0.5)T2000B4-C(0.600,0.200,0.200)T30009A-CAB1B2B3B40.5640.2630.0550.118WjC10.50.2820C20.50.2820C30.6370.1675C40.1050.0276C50.2580.0679C60.50.0275C70.50.0275C80.6000.0708C90.2000.0236C100.2000.02361.5,,,,,,(),6,,,109,,,,,,,1145510D1D2D3D4D5D60.0230.0400.1420.0750.3600.360/16001900930027001180012000/1.972.612.794.662.352.63/00.180.250.330.500.580.0470.1050.1640.0470.2550.3830.0230.0400.0750.1420.3600.3600.0400.0230.2630.0740.4560.1420.0400.0230.2630.0740.4560.1420.0740.0400.1420.0230.2630.4560.0400.0230.2630.0740.4560.14211D1D2D3D4D5D60.1380.2400.8520.4502.1602.1602.160/0.2440.2901.4200.4121.8021.8320.244/0.6950.9210.9841.6440.8290.9280.695/0.0000.5870.8151.0761.6301.8911.8910.2820.6290.9830.2821.5282.2962.2960.1380.2400.4500.8522.1602.1602.1600.2400.1381.5810.4452.7410.8542.7410.2400.1381.5810.4452.7410.8542.7410.4450.2400.8540.1381.5812.7412.7410.2400.1381.5810.4452.7410.8542.741{x0(t)},{xi(t)},t=k,{x0(t)}{xi(t)}[4]:i(k)=minimink|x0(k)-xi(k)|+maximaxj|x0(k)-xi(k)||x0(k)-xi(k)|+maximaxk|x0(k)-xi(k)|(i=1,2,,6;k=1,2,,10):,0.5=0.5,,R,1.4W,A=WR6,1212D1D2D3D4D5D6W0.3920.4040.4990.432110.2820/10.9660.5250.8860.4550.4500.2820/10.8520.8180.5780.9070.8480.1675/0.4080.4990.5470.6150.83310.02760.3930.4040.4320.499110.06790.3920.4040.4320.499110.02750.3420.3330.5290.36210.4080.02750.3420.3330.5290.36210.4080.07080.3620.3420.4080.3330.52910.02360.3420.3330.5290.36210.4080.0236A0.6590.6320.5610.5780.7900.747346512(75)551,:1237456788:,,,,,(2),,44.1,:(1),;(2),;(3),,4.2(3),(7),,,,,,5,:,CFD,,,:[1].[M].:,1988.[2].[J].:,2006,35(3):15218.[3].[J].:,2006,32(5):52254.[4].CFD[J].:,2005,26(S1):57260.[5].[J].2006,23(2):1062110.(55)12,50.790,,2,,,,,,,,:[1].:[M].:,2001.[2].[M].:,2000.[3].[M].:,2002.[4].[M].:,1992.571,:

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