2007赛题：水电站的生产计划问题

水电站的生产计划问题

已知某地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。

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3

1213.1170.418171.9941.051

2304.47102.31185.0155.891

3381.54109.55221.8468.426

4411.84122.72239.1963.48

5512.6138.27236.2745.087

6405.53145.49260.7228.224

7465.89128.85257.352.37

8430.54132.47236.2642.646

9337.69118.22223.6632.206

10287.1291.244201.5754.48

11239.1667.346174.255.812

12164.3543.481156.5358.566

13194.8865.275149.7947.337

14217.9693.02198.8545.825

15373.79118.68198.6947.942

16353.14128.02216.8348.257

17398.02133.2235.452.176

18413.33152.1229.7466.843

19422.76142.38224.9451.195

20382.51136.73208.3256.507

21330.07117.46202.5770.801

22222.7187.827167.1846.608

23226.2879.421161.5257.301

24172.5343.185143.8252.94

25104.6166.263136.741.509

26169.2589.975174.7624.661

27271.03115.16199.0426.211

28320.21135.38189.346.537

29320.44143.9200.6743.891

30338.34141.34222.1845.918

31344.89139.11210.0435.844

32280.45138.31209.8552.271

33295.26111.51195.0952.08

34217.0792.9173.4542.803

35152.2281.783154.5457.578

36123.1535.159123.0633.569

3784.4374.211145.0139.432

38221.7992.62147.5947.483

39264.92118.6178.9437.016

40272.77141.11193.662.333

41315.17146.03190.5764.946 42357.87154.4210.7352.359 43315.56137.52195.535.956 44292.04140.44207.7556.588 45245.23114.94171.8824.434 46173.193.046163.1744.651 47147.1983.55136.2782.025 4864.62740.875100.1154.392 49144.1371.833108.0638.501 50147.6398.872151.1858.868 51234.94120.63163.3347.166 52284.68136.69193.8560.353 53297.06149.62202.8846.351 54339.38150.76216.9563.42 55309.33142.97203.6360.089 56229.25132.69182.5352.139 57204.58117.28175.8547.007 58138.2288.026142.6352.558 59103.0973.892127.4248.092 60 4.796849.64101.2849.209 6144.63688.921122.1356.999 62155.34103.43143.3942.035 63276.77125.6176.8141.987 64267.87130.13165.9849.924 65386.79143.11196.6942.732 66266.23138.75204.3135.091 67289.65152.1199.4258.703 68294.18133.32188.0547.343 69278.05117.08167.3234.333 70161.62100.15152.3446.054 7192.85677.451127.2548.561 7272.33654.46193.94626.658 73148.9876.577114.1136.425 74237.73104.28138.9631.843 75310.19127.54149.0661.084 76326.91138.65176.1248.579 77378.07137.9189.2861.128 78378.23155.96194.4655.593 79306.15148.48201.2154.784 80302.49137.16175.0743.206 81289.92117.49167.9452.85 82156.55107.61148.8136.671