層次分析法的應(yīng)用實(shí)例

第二節(jié)層次分析法的應(yīng)用實(shí)例設(shè)某港務(wù)局要改善一條河道的過河運(yùn)輸條件，要確定是否建立橋梁或隧道以代替現(xiàn)在的輪渡。此問題可得到兩個(gè)層次結(jié)構(gòu)：過河效益層次結(jié)構(gòu)和過河代價(jià)層次結(jié)構(gòu)；由圖5-3(a)和(b)分別表示。例過河的代價(jià)與效益分析。過河的效益A過河的效益B過河的效益經(jīng)濟(jì)效益B建筑就業(yè)C5過河的效益B過河的效益建筑就業(yè)C5當(dāng)?shù)厣虡I(yè)C4岸間商業(yè)C3收入C2節(jié)省時(shí)間C1自豪感C8交往溝通C安全可靠C美化cH進(jìn)出方便cW舒適C9(a)過河效益層次結(jié)構(gòu)過河的代價(jià)A環(huán)境代價(jià)B2社會(huì)代價(jià)B經(jīng)濟(jì)代價(jià)對(duì)生態(tài)的污染環(huán)境代價(jià)B2社會(huì)代價(jià)B經(jīng)濟(jì)代價(jià)對(duì)生態(tài)的污染C對(duì)水的污染C8汽車的排放物C居民搬遷C6

交往擁擠C5

安全可靠C4沖擊渡船業(yè)C操作維護(hù)C2投入資金C1橋梁D1隧道D2渡船D3(b)過河代價(jià)層次結(jié)構(gòu)圖5-3過河的效益與代價(jià)層次結(jié)構(gòu)圖表5-9AB1B2B33⑵B11360.61B21/3120.22B31/61/210.11C.I.=0

表5-10B1C1C2C3C4C531（3）C111/31/71/51/60.04C211/41/21/20.09C31750.54C411/50.11C510.23C.I.=0.14表5-11B2C6C7C832（3）C61690.76C7140.18C10.068C.I.=0.05

表5-12B3C9C10C1133（3）C911/460.25C10180.69C1110.06C.I.=0.07表5-13C1D1D2D33卜4）D11270.58D2160.35D310.07C.I.=0.02

表5-14C2D1D2D332（4）D111/280.36D2190.59D310.05C.I.=0.02表5-15CD|DeD.3（4）31233D11480.69D2160.25D.10.063C.I.=0.07

表5-16CD|DeD.3（4）41234D11160.46D2160.46D.10.083C.I.=0表5-17C5D1D2D335(4)D111/490.41D2190.54D310.05C.I.=0.11表5-18C6D1D2D336⑷D11470.59D2160.35。公10.063C.I.=0.09表5-19C7D1D2D337⑷D11150.46D2150.46D310.09C.I.=0表5-20C8D1D2D338⑷D11530.64D211/30.11D310.26C.I.=0.02表5-21C1D1D2D331(4)D11580.73D2150.21D310.06C.I.=0.07表5-22C2D1D2D332(4)D11370.64D2160.29。公10.073C.I.=0.05表5-23C”D|DeDa3(4)1112311D1161/50.27D211/30.10。公10.633C.I.=0.31這樣我們得到方案關(guān)于效益的合成順序?yàn)閛（4）二（0.57,0.36,0.07）t效益層次模型的整體一致性比例C.R.（4）＜0.1（最后一個(gè)矩陣的一致性較差，但因

表5-24表5-25AB1B2B33⑵B1C1C2C331（3）B11570.74C11790.77B2120.16C2150.17B310.09C310.06C.I.=0.01C.I.=0.1表5-26表5-27B2C4C5C632（3）B3C7C8C933（3）D111/31/50.11C71340.62D211/50.26C811/30.13D310.64C910.25C.I.=0.02C.I.=0.11表5-28表5-29C1D1D2D331(4)C2D1D2D332(4)D11790.77D111/380.30D2150.17D2190.65D310.06D310.05C.I.=0.05C.I.=0.05表5-30CD|DeD.3(4)31233D11190.47D2190.47D.10.053C.I.=0表5-31C4D1D2D334(4)D11490.69D2180.26。公10.053C.I.=0.09表5-32表5-33C5D1D2D335(4)C6D1D2D336⑷D11190.47D11190.47D2190.47D2190.47D310.05D310.05C.I.=0C.I.=0表5-34表5-35C7D1D2D337(4)C8D1D2D338⑷D11380.65D11370.65D2160.29D2150.28D310.06D310.07C.I.=0.04C.I.=0.03表5-36CD1DoD°3⑷91239D111/670.21D2180.73D.10.053C.I.=0.16得到方案關(guān)于代價(jià)的合成排序?yàn)镺（4）=（0.36,0.58,0.