第1题.docx

1、第1题赣南师范学院科技学院数学建模培训第1题 已知有两水库及两个水电站，位置如下图所示：已知发电站甲可以将水库A的1万m3的水转换为20万度电能，发电站乙由于设备比较陈旧，只能将1万m3的水转换为10万度电能。甲，乙两个发电站每月的最大发电能力分别是12000万度，8000万度。每月最多有9000万度电能以2000元/万度的价格出售，超出的部分只能1200元/万度的价格出售。两个水库的有关数据如下表：（单位：万立方米）水库A水库B水库最大储水量30002100水库最小储水量22001300水库初始储水量23001400（表一）若河流的干流和支流三个月的预测数据如下表：（单位：万立方米）本月流量

2、下月流量第三月流量干流400250200支流11008065支流212010580支流3756050（表二）1、请根据上面的数据制定三个月的发电计划；2、现已知该河流的干流及三条支流从1977年到2006年三十年每月的流量数据（见附件），请根据这些数据预测2007年干流及三条支流每月的流量；3、如果某月干流、支流1和支流2的总流量大于500万立方米时，根据防洪需要，其前一个月水库A,B的最大储水量应该分别降低到2500和1600万立方米，请根据预测值制定2007每月的发电计划；（水库相关数据见表一）4、如果发电机组每年都应该检修，检修时间可以在任意的一个月，检修的当月最大发电量会减少50%，但

3、检修后每月最大发电量会增加10%，请给出电站2007的检修计划；5、发电站乙的设备比较陈旧了，如果更换设备就可以达到和甲一样的发电能力，试讨论更换设备的条件及方案。附：河流干流及支流流量数据：（单位：万立方米）序号干流支流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.

4、47236.2642.6469337.69118.22223.6632.20610287.1291.244201.5754.4811239.1667.346174.255.81212164.3543.481156.5358.56613194.8865.275149.7947.33714217.9693.02198.8545.82515373.79118.68198.6947.94216353.14128.02216.8348.25717398.02133.2235.452.17618413.33152.1229.7466.84319422.76142.38224.9451.19520382.5

5、1136.73208.3256.50721330.07117.46202.5770.80122222.7187.827167.1846.60823226.2879.421161.5257.30124172.5343.185143.8252.9425104.6166.263136.741.50926169.2589.975174.7624.66127271.03115.16199.0426.21128320.21135.38189.346.53729320.44143.9200.6743.89130338.34141.34222.1845.91831344.89139.11210.0435.84

6、432280.45138.31209.8552.27133295.26111.51195.0952.0834217.0792.9173.4542.80335152.2281.783154.5457.57836123.1535.159123.0633.5693784.4374.211145.0139.43238221.7992.62147.5947.48339264.92118.6178.9437.01640272.77141.11193.662.33341315.17146.03190.5764.94642357.87154.4210.7352.35943315.56137.52195.535

7、.95644292.04140.44207.7556.58845245.23114.94171.8824.43446173.193.046163.1744.65147147.1983.55136.2782.0254864.62740.875100.1154.39249144.1371.833108.0638.50150147.6398.872151.1858.86851234.94120.63163.3347.16652284.68136.69193.8560.35353297.06149.62202.8846.35154339.38150.76216.9563.4255309.33142.9

8、7203.6360.08956229.25132.69182.5352.13957204.58117.28175.8547.00758138.2288.026142.6352.55859103.0973.892127.4248.092604.796849.64101.2849.2096144.63688.921122.1356.99962155.34103.43143.3942.03563276.77125.6176.8141.98764267.87130.13165.9849.92465386.79143.11196.6942.73266266.23138.75204.3135.091672

9、89.65152.1199.4258.70368294.18133.32188.0547.34369278.05117.08167.3234.33370161.62100.15152.3446.0547192.85677.451127.2548.5617272.33654.46193.94626.65873148.9876.577114.1136.42574237.73104.28138.9631.84375310.19127.54149.0661.08476326.91138.65176.1248.57977378.07137.9189.2861.12878378.23155.96194.4

10、655.59379306.15148.48201.2154.78480302.49137.16175.0743.20681289.92117.49167.9452.8582156.55107.61148.8136.67183124.9366.858125.9742.76841.96251.40282.69443.36485177.4184.556115.4151.98486261.28100.6139.7632.05187331.71112.62149.2636.12388349.69137.58167.5451.97889302.97143.28193.9564.69390451.25163

11、.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.

12、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.

13、41190.7762.941114406.24152.55181.4253.146115486.86153166.5658.596116420.67133.98167.1551.287117366.21120.95141.4850.166118338.29105.34118.7849.272119271.7872.494104.4540.057120210.5946.47889.50442.526121265.2283.564105.149.692122341.58106.53133.9759.884123355.23120.83138.2644.01124385.98149.36160.52

14、64.766125417.37152.5172.2941.862126436.85163.47167.1456.45127472.47174.99162.7836.901128360.74148.69173.0541.326129351.11136.72148.8845.258130312.97103.89122.2652.224131261.9890.42111.268.713132135.3454.62480.14851.1133194.0688.42492.42745.887134268.56115.37137.5155.112135324.59129.29148.7738.009136

15、378.36145.83175.3749.036137392.06162.71182.2954.458138383.82170.49169.347.042139383.58162.52160.4248.32140367.69144.08161.451.795141363.79128.71143.1954.211142277.23104.85117.8666.777143199.2581.252105.8169.969144133.5568.78688.84956.97145161.9394.194.01536.336146268.76110.37115.4353.63147281.09140.

16、9141.5544.33148363.09152.03165.6239.558149355.25171.59161.9656.971150379.38153.91162.2454.84151363.16165.28168.5748.062152371.12141.2159.0746.219153245.13128.97148.1341.136154187.78118.73117.6931.598155159.0388.90397.58633.718156102.5766.21269.13938.262157112.3884.12595.99645.846158169.21124.49134.6

17、451.751159277.93133.83136.0852.294160259.12165.48145.337.591161330.02155.78171.6557162373.14153.87162.754.269163317.62156.27167.7464.548164251.92152.2151.7844.898165306.23141.68146.3649.933166150.06109.78125.844.745167116.16102.7194.87757.17716859.89163.23552.33960.884169129.395.29695.83355.00617015

18、8.09111.15133.0977.718171237.35144.38148.6348.397172209.35144.65141.1454.295173292.25165.71164.6430.332174277.19169.38162.6244.54175239.73164.68156.1331.116176295.6161.78144.2548.92177261.86131.65142.0736.839178167.09135.48114.8943.27417959.53988.51395.14340.97618092.45772.23565.44848.45218195.68594

19、.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

20、.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.

21、5959.42655.10532.622205216.1390.08589.94545.505206267.22119.7695.24834.521207386.91127.98129.5649.042208405.11145.58154.0559.077209342.66157.34156.9973.696210404.29168.59174.4255.198211469.22173.79154.254.105212347.13156.4128.9660.526213330.51137.46122.9154.288214253.55119.6122.7962.951215236.75109.

22、4288.15248.139216105.1371.27466.70251.307217239.0698.67996.04743.424218282.65123.3892.58342.407219357.33133.2126.5844.048220439.75144.05141.9358.124221439.29156.07149.150.695222444.25178.99160.0331.663223407.03166.07171.9568.274224362.87154.47147.9256.541225373.57141.04143.4234.552226319.06122.75105

23、.446.249227246.84102.9387.61652.077228108.3964.28454.62142.344229272.8999.96791.29248.936230327128.18107.8753.388231415.17137.65135.1660.335232426.26147.88152.7435.952233455.85171.38156.0239.694234441.85174.23168.1343.566235419.35185.57177.551.708236413.63159.62151.4563.448237421.67143.96130.7369.36

24、3238374.08120.23118.3557.413239212.46106.4686.51358.12240191.6273.99850.16448.572241236.51111.0488.91649.001242308.04127.74108.6241.999243387.1152.11126.8954.932244376.94160.84156.7562.376245405.04172.72172.0362.96246453.21172.28153.9647.218247443.87167.87156.1952.171248399.79150.0513856.307249356.15137.16135.544.515250331.68126.6187.38352.296251217.9298.70693.45753.553252159.3169.09660.63455.213253218.73110.7485.50643.84254273.76131.87118.19