2007賽題：水電站的生產(chǎn)計(jì)劃問(wèn)題

水電站的生產(chǎn)計(jì)劃問(wèn)題已知某地有兩水庫(kù)及兩個(gè)水電站，位置如下圖所示:已知發(fā)電站甲可以將水庫(kù)A的1萬(wàn)m3的水轉(zhuǎn)換為20萬(wàn)度電能，發(fā)電站乙由于設(shè)備比較陳舊，只能將1萬(wàn)m3的水轉(zhuǎn)換為10萬(wàn)度電能。甲，乙兩個(gè)發(fā)電站每月的最大發(fā)電能力分別是12000萬(wàn)度，8000萬(wàn)度。每月最多有9000萬(wàn)度電能以2000元/萬(wàn)度的價(jià)格出售，超出的部分只能1200元/萬(wàn)度的價(jià)格出售。兩個(gè)水庫(kù)的有關(guān)數(shù)據(jù)如下表：（單位：萬(wàn)立方米）水庫(kù)A水庫(kù)B水庫(kù)最大儲(chǔ)水量30002100水庫(kù)最小儲(chǔ)水量22001300水庫(kù)初始儲(chǔ)水量23001400（表一）若河流的十流和支流三個(gè)月的預(yù)測(cè)數(shù)據(jù)如下表：（單位：萬(wàn)立方米）本月流量下月流量第三月流量十流400250200支流11008065支流212010580支流3756050（表二）1、請(qǐng)根據(jù)上面的數(shù)據(jù)制定三個(gè)月的發(fā)電計(jì)劃；2、現(xiàn)已知該河流的十流及三條支流從1977年到2006年三十年每月的流量數(shù)據(jù)（見(jiàn)附件），請(qǐng)根據(jù)這些數(shù)據(jù)預(yù)測(cè)2007年十流及三條支流每月的流量；3、如果某月十流、支流1和支流2的總流量大于500萬(wàn)立方米時(shí)，根據(jù)防洪需要，其前一個(gè)月水庫(kù)A,B的最大儲(chǔ)水量應(yīng)該分別降低到2500和1600萬(wàn)立方米，請(qǐng)根據(jù)預(yù)測(cè)值制定2007每月的發(fā)電計(jì)劃；（水庫(kù)相關(guān)數(shù)據(jù)見(jiàn)表一）4、如果發(fā)電機(jī)組每年都應(yīng)該檢修，檢修時(shí)間可以在任意的一個(gè)月，檢修的當(dāng)月最大發(fā)電量會(huì)減少50%，但檢修后每月最大發(fā)電量會(huì)增加10%，請(qǐng)給出電站2007的檢修計(jì)劃；5、發(fā)電站乙的設(shè)備比較陳舊了，如果更換設(shè)備就可以達(dá)到和甲一樣的發(fā)電能力，試討論更換設(shè)備的條件及方案。

附：河流干流及支流流量數(shù)據(jù)：（單位：萬(wàn)立方米）序號(hào)干流支流1支流2支流31213.1170.418171.9941.0512304.47102.31185.0155.8913381.54109.55221.8468.4264411.84122.72239.1963.485512.6138.27236.2745.0876405.53145.49260.7228.2247465.89128.85257.352.378430.54132.47236.2642.6469337.69118.22223.6632.20610287.1291.244201.5754.4811239.1667.346174.255.81212164.3543.481156.5358.56613194.8865.275149.7947.33714217.9693.02198.8545.82515373.79118.68198.6947.94216353.14128.02216.8348.25717398.02133.2235.452.17618413.33152.1229.7466.84319422.76142.38224.9451.19520382.51136.73208.3256.50721330.07117.46202.5770.80122222.7187.827167.1846.60823226.2879.421161.5257.30124172.5343.185143.8252.9425104.6166.263136.741.50926169.2589.975174.7624.66127271.03115.16199.0426.21128320.21135.38189.346.53729320.44143.9200.6743.89130338.34141.34222.1845.91831344.89139.11210.0435.84432280.45138.31209.8552.27133295.26111.51195.0952.0834217.0792.9173.4542.80335152.2281.783154.5457.57836123.1535.159123.0633.5693784.4374.211145.0139.43238221.7992.62147.5947.48339264.92118.6178.9437.01640272.77141.11193.662.333

41315.17146.03190.5764.94642357.87154.4210.7352.35943315.56137.52195.535.95644292.04140.44207.7556.58845245.23114.94171.8824.43446173.193.046163.1744.65147147.1983.55136.2782.0254864.62740.875100.1154.39249144.1371.833108.0638.50150147.6398.872151.1858.86851234.94120.63163.3347.16652284.68136.69193.8560.35353297.06149.62202.8846.35154339.38150.76216.9563.4255309.33142.97203.6360.08956229.25132.69182.5352.13957204.58117.28175.8547.00758138.2288.026142.6352.55859103.0973.892127.4248.092604.796849.64101.2849.2096144.63688.921122.1356.99962155.34103.43143.3942.03563276.77125.6176.8141.98764267.87130.13165.9849.92465386.79143.11196.6942.73266266.23138.75204.3135.09167289.65152.1199.4258.70368294.18133.32188.0547.34369278.05117.08167.3234.33370161.62100.15152.3446.0547192.85677.451127.2548.5617272.33654.46193.94626.65873148.9876.577114.1136.42574237.73104.28138.9631.84375310.19127.54149.0661.08476326.91138.65176.1248.57977378.07137.9189.2861.12878378.23155.96194.4655.59379306.15148.48201.2154.78480302.49137.16175.0743.20681289.92117.49167.9452.8582156.55107.61148.8136.67183124.9366.858125.9742.76841.96251.40282.69443.36485177.4184.556115.4151.98486261.28100.6139.7632.05187331.71112.62149.2636.12388349.69137.58167.5451.97889302.97143.28193.9564.69390451.25163.88186.4353.66591382.96145.61187.7245.57292410.05138.62175.0149.51493282.11127.49152.6150.77794291.84104.35132.5869.57995213.4476.241117.4949.27296110.7760.54979.06859.38897310.180.2111749.20498365.34108.38139.241.9999386.63125.53147.453.094100408.14133.67168.360.518101451.4145.09169.9933.358102465.24155.95164.2639.092103417.48142.79189.5548.083104399.38145.64166.0254.634105408.22127.89157.7440.759106334.94108.64136.1943.503107246.2981.327110.1656.229108140.2161.48375.04836.649109237.7378.57498.2860.477110346.02109.52127.5558.633111388.81134.84140.9643.576112420.08143.45158.0256.6113472.94157.41190.7762.941114406.24152.55181.4253.146115486.86153166.5658.596116420.67133.98167.1551.287117366.21120.95141.4850.166118338.29105.34118.7849.272119271.7872.494104.4540.057120210.5946.47889.50442.526121265.2283.564105.149.692122341.58106.53133.9759.884123355.23120.83138.2644.01124385.98149.36160.5264.766125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166417.37152.5172.2941.862436.85163.47167.1456.45472.47174.99162.7836.901360.74148.69173.0541.326351.11136.72148.8845.258312.97103.89122.2652.224261.9890.42111.268.713135.3454.62480.14851.1194.0688.42492.42745.887268.56115.37137.5155.112324.59129.29148.7738.009378.36145.83175.3749.036392.06162.71182.2954.458383.82170.49169.347.042383.58162.52160.4248.32367.69144.08161.451.795363.79128.71143.1954.211277.23104.85117.8666.777199.2581.252105.8169.969133.5568.78688.84956.97161.9394.194.01536.336268.76110.37115.4353.63281.09140.9141.5544.33363.09152.03165.6239.558355.25171.59161.9656.971379.38153.91162.2454.84363.16165.28168.5748.062371.12141.2159.0746.219245.13128.97148.1341.136187.78118.73117.6931.598159.0388.90397.58633.718102.5766.21269.13938.262112.3884.12595.99645.846169.21124.49134.6451.751277.93133.83136.0852.294259.12165.48145.337.591330.02155.78171.6557373.14153.87162.754.269317.62156.27167.7464.548251.92152.2151.7844.898306.23141.68146.3649.933150.06109.78125.844.745167116.16102.7194.87757.17716859.89163.23552.33960.884169129.395.29695.83355.006170158.09111.15133.0977.718171237.35144.38148.6348.397172209.35144.65141.1454.295173292.25165.71164.6430.332174277.19169.38162.6244.54175239.73164.68156.1331.116176295.6161.78144.2548.92177261.86131.65142.0736.839178167.09135.48114.8943.27417959.53988.51395.14340.97618092.45772.23565.44848.45218195.68594.39588.51959.472182202.7113.75120.1665.504183229.19135.39144.0954.29184317.19157.93172.4344.392185315.41161.26151.251.793186300.98179.24157.6242.285187308.02165.59172.7640.566188274.61149.35149.9235.924189275.78137.04125.130.939190196.52119.2119.6649.347191118.7992.099106.6856.721192未知71.38773.19352.061193122.1893.393108.549.919194234.93122.15119.5450.2195317.37148.51152.544.416196293.45154.75148.5568.861197307.45166.82151.3447.8198406.95180.24163.135.856199348.79161.06172.3146.972200293.71156.82141.5644.304201235.74148.6141.4348.785202252.41112.49109.5946.098203193.5987.32995.84641.557204128.5959.42655.10532.622205216.1390.08589.94545.505206267.22119.7695.24834.521207386.91127.98129.5649.042208405.11145.58154.0559.077209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250342.66157.34156.9973.696404.29168.59174.4255.198469.22173.79154.254.105347.13156.4128.9660.526330.51137.46122.9154.288253.55119.6122.7962.951236.75109.4288.15248.139105.1371.27466.70251.307239.0698.67996.04743.424282.65123.3892.58342.407357.33133.2126.5844.048439.75144.05141.9358.124439.29156.07149.150.695444.25178.99160.0331.663407.03166.07171.9568.274362.87154.47147.9256.541373.57141.04143.4234.552319.06122.75105.446.249246.84102.9387.61652.077108.3964.28454.62142.344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217.9298.70693.45753.553159.3169.09660.63455.213218.73110.7485.50643.84273.76131.87118.1963.458369.18144.8125.5159.749365.88169.1142.6726.221394.29166.4142.4339.077393.26188.95142.346.743378.56173.31147.5329.878395.18167.75146.465.677283.24150.61123.1152.333255.68122.5295.26756.464119.2109.0592.80538.706148.1280.44350.8651.97165.8499.67981.71666.969243.56129.77105.9357.26242.55141.82124.457.925315.73163.09146.1156.034348.19165.7150.1549.416302.27174.61140.9638.913292.3173.64143.2771.442297.96171.43144.7336.472313.81148.02115.3454.57279.37123.47102.8153.912152.75104.1873.34570.7324.12271.35645.36446.767116.0410271.3564.681187.11139.43101.0444.976230.31151.49126.9352.096283.06161.78140.2257.548250.6175.98160.8340.518270.21175.99152.4556.132330.31172.36137.5967.605270.73165.28141.3550.888184.32148.01126.0175.956165.74130.85107.5143.24583.859115.3785.03977.86856.00378.21866.16149.83291.209105.4474.38552.717169.72136.9105.7840.859233.18157.3124.0330.486231.63171.85134.8146.826251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293293.44178.5169.2555.883294296.51174.91151.1258.29295311.14182.35137.3433.251296318.99166.64155.9730.777297227.75153.36127.0745.633298157.14128.8393.36250.4529993.404110.2684.89974.166300未知80.0464.86246.90130155.81105.7970.07551.876302189.64124.83103.4759.477303219.83147.7121.7244.743304289.37180.54128.3938.844305307.33192.57159.534.077306300.7177.2152.1261.748307313.07179.25153.6854.851308299.32170.31132.4166.455309237.87151.41117.0745.458310179.29144.34105.0960.08831177.562112.5779.170.49431274.47379.61468.89156.02313183.72103.474.53150.179314137.96135.57121.0433.896315210.68156.11135.4162.388316329.35163.37120.2256.836317319.91185.64132.5942.193318318.35185.34145.9655.31319424.98189.53146.0571.345320290.63170.21137.8153.544321236.57158.8129.3752.317322224.37131.0994.62462