#  Copyright 2018, Oscar Dowson
#  This Source Code Form is subject to the terms of the Mozilla Public
#  License, v. 2.0. If a copy of the MPL was not distributed with this
#  file, You can obtain one at http://mozilla.org/MPL/2.0/.
#############################################################################

#==
The Asset Management problem taken from

    J. R. Birge,  F. Louveaux,  Introduction to Stochastic Programming,
    Springer Series in Operations Research and Financial Engineering,
    Springer New York, New York, NY, 2011
    solver = CplexSolver(CPXPARAM_ScreenOutput = 0),
    solver = GurobiSolver(OutputFlag = 0),
    print(Gurobi.getlibversion())


==#


using SDDP, JuMP, CSV, Gurobi, MathProgBase
using Base.Test
print("gurobi version: ", Gurobi.getlibversion(),"; ")

thermal_ub = Array{Float64, 2}[[657 1350 36 250 250 28 529 44 255 235 386 386 145 226 131 87 204 923 923 400 100 200 169 386 28 200 272 30 168 440 400 258 258 258 64 340 1058 1058 10 197 175 206 54],
              [66 485 485 350 161 72 4 20 100 132 262 363 24 126 320 20 640],
              [13 11 32 11 347 152 150 13 15 220 220 13 15 138 347 149 149 15 102 15 168 13 13 103 136 53 66 186 50 156 171 533 323],
              [166 166]]
thermal_lb = Array{Float64,2}[[520.0  1080.0  0.0  59.3  27.1  0.0  0.0  0.0  219.78  199.99  0.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0  399.99  0.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0  71.7  28.8  0.0  132.98  0.0  0.0  0.0],
              [0.0 0.0 0.0 210.0 0.0 27.0 0.0 9.56 25.0 79.46 147.54 228.02 0.0 49.66 105.0 5.0 0.0],
              [0.0 0.0 0.0 0.0 0.7 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 223.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 348.8 0.0],
              [0 0]]
thermal_obj = Array{Float64, 2}[[21.49 18.96 937.0 194.79 222.22 140.58 6.27 505.92 0.01 112.46 159.97 250.87 550.66 188.89 645.3 150.0 145.68 274.54 253.83 37.8 51.93 90.69 131.68 317.98 152.8 470.34 317.98 523.35 730.54 310.41 730.54 101.33 140.34 292.49 610.33 487.56 122.65 214.48 1047.38 0.01 329.57 197.85 733.54],
               [564.57 219.0 219.0 50.47 541.93 154.1 180.51 218.77 189.54 143.04 142.86 116.9 780.0 115.9 115.9 248.31 141.18],
               [464.64 464.64 455.13 464.64 834.35 509.86 509.86 464.64 464.64 185.09 492.29 464.64 464.64 188.15 82.34 329.37 329.37 464.64 464.64 464.64 317.19 464.64 464.64 678.03 559.39 611.57 611.56 204.43 325.67 678.03 329.2 70.16 287.83],
               [329.56 329.56]]

hydro_ub = [45414.3, 13081.5, 9900.9, 7629.9]
storedEnergy_initial = [59419.3000, 5874.9000, 12859.2000, 5271.5000]
storedEnergy_ub = [200717.6, 19617.2, 51806.1, 12744.9]
exchange_ub =  Array{Float64, 2}[[0	7379	1000	0	4000],
            [5625	0	0	0	0],
            [600	0	0	0	2236],
            [0	0	0	0	99999],
            [3154	0	3951	3053	0]]
deficit_obj = [1142.8, 2465.4, 5152.46, 5845.54]
deficit_ub = [0.05, 0.05, 0.1, 0.8]

demand =  Array{Float64, 2}[
         [45515  11692  10811  6507],
         [46611  11933  10683  6564],
         [47134  12005  10727  6506],
         [46429  11478  10589  6556],
         [45622  11145  10389  6645],
         [45366  11146  10129  6669],
         [45477  11055  10157  6627],
         [46149  11051  10372  6772],
         [46336  10917  10675  6843],
         [46551  11015  10934  6815],
         [46035  11156  11004  6871],
         [45234  11297  10914  6701]]

scenarios =
[[[56896.8, 56451.95, 65408.16, 46580.39, 54645.97, 36916.81, 63301.09, 53645.87, 57959.52, 54200.71, 48448.49, 45010.7, 81105.82, 35019.44, 41229.43, 80514.3, 51163.61, 53329.75, 50702.92, 42240.62, 55109.13, 33675.91, 25129.81, 29190.4, 36301.34, 37791.77, 58268.57, 39743.58, 62565.51, 49713.71, 72890.69, 45726.42, 66364.28, 37928.66, 62789.08, 73042.18, 66665.7, 52993.58, 31559.83, 56002.39, 30617.05, 40899.73, 54433.46, 62568.66, 51341.31, 40927.71, 73413.29, 69900.43, 66850.87, 76182.63, 72077.01, 84213.88, 64555.38, 72950.98, 53957.75, 53046.27, 47082.36, 58093.71, 80492.3, 47948.51, 60261.41, 47993.66, 64712.19, 52583.97, 55161.47, 92429.3, 43304.33, 58739.64, 55468.74, 40817.11, 63727.25, 60146.67, 47266.3, 67074.83, 46916.31, 95400.9, 38313.51, 54999.69, 71369.67, 76664.21, 73633.5, 46999.32], [86488.31, 61922.34, 51128.33, 37113.35, 72711.15, 29950.27, 43981.97, 45561.95, 57663.45, 75154.55, 38353.62, 51036.28, 73890.02, 47726.22, 71175.26, 62788.22, 61001.38, 57412.95, 72857.05, 65235.58, 67209.56, 50100.68, 26092.14, 44292.32, 27535.59, 25749.92, 62387.31, 57549.88, 50654.11, 59386.44, 77049.72, 60836.23, 59055.5, 61202.37, 78078.5, 78991.29, 71465.94, 47197.58, 37602.63, 57691.13, 20504.58, 58197.41, 54655.96, 45842.69, 48096.68, 47690.98, 71610.48, 47429.75, 89520.11, 92447.91, 47928.35, 71909.26, 47626.61, 70620.4, 50034.14, 59045.22, 57525.75, 61449.32, 41790.65, 65572.44, 86433.67, 68600.8, 51672.08, 83801.3, 41190.08, 73474.32, 53990.6, 50665.03, 67756.3, 40550.35, 70939.21, 61771.53, 71467.42, 59049.86, 49152.53, 91724.84, 63801.6, 66431.93, 59988.07, 50373.33, 49701.05, 56717.86], [88646.94, 50742.1, 40424.25, 35392.72, 61323.17, 53709.93, 39542.99, 40185.12, 34083.82, 68610.98, 35718.51, 62628.01, 69692.0, 51495.85, 62809.69, 70220.74, 93477.21, 59883.76, 53172.92, 56491.72, 65725.0, 77701.54, 32542.38, 29444.29, 29070.61, 37872.92, 63481.8, 47988.85, 52728.54, 63441.32, 78376.69, 60248.39, 41110.96, 37183.08, 83982.68, 72883.91, 61051.15, 52788.25, 33315.79, 58386.71, 25463.7, 52687.47, 48144.5, 63161.07, 36378.46, 48314.32, 39789.9, 54422.3, 57184.51, 62386.9, 43430.01, 85259.92, 39652.55, 71335.51, 47263.74, 47293.6, 62981.06, 54515.96, 43462.15, 68127.72, 55948.83, 56153.76, 61042.16, 52448.52, 54230.46, 57821.91, 55790.78, 59436.74, 62295.26, 38312.37, 49257.88, 48780.76, 62710.63, 57188.43, 59325.77, 51971.26, 64294.7, 47939.56, 54351.96, 86775.98, 37212.98, 49482.34], [64581.71, 35954.27, 34627.46, 27179.93, 54644.39, 37115.42, 35188.12, 30857.44, 28957.8, 38145.67, 33851.76, 45004.41, 41888.5, 32537.77, 61618.73, 45492.33, 57661.37, 40768.91, 36675.8, 39891.03, 46600.38, 41833.13, 35331.16, 24828.12, 28963.44, 26392.81, 57277.26, 40083.16, 39037.46, 40510.26, 49649.42, 35895.16, 28420.51, 27653.31, 52072.86, 47120.75, 42126.42, 31221.08, 23267.58, 33811.21, 21492.44, 37357.77, 49257.71, 56164.65, 34749.3, 38150.11, 44706.32, 35701.34, 40448.63, 52746.17, 40067.9, 62428.88, 42785.49, 52326.19, 32913.93, 41161.01, 44123.86, 36565.93, 35065.17, 68823.2, 50669.57, 47121.6, 43602.65, 47373.13, 36659.8, 45289.32, 45618.72, 34198.26, 38268.72, 28944.83, 31516.06, 42862.66, 48390.75, 37943.12, 50501.94, 35807.24, 52671.46, 49262.74, 46138.46, 55543.29, 32317.51, 51632.89], [43078.74, 27000.91, 24456.72, 19080.88, 34731.77, 24512.01, 27671.57, 25654.34, 24788.09, 29380.5, 18923.09, 30031.07, 26936.13, 22540.12, 34858.01, 30581.26, 34635.02, 24931.13, 27008.57, 27616.21, 28566.65, 25574.69, 21342.69, 30732.45, 17083.18, 29745.45, 34161.48, 32373.28, 25060.83, 30213.42, 39757.11, 26435.75, 20601.37, 21707.83, 45436.42, 34622.49, 28792.77, 22897.49, 17471.04, 24573.34, 18395.36, 23937.22, 31238.07, 34468.55, 23514.07, 29321.19, 29379.36, 28537.54, 34587.4, 35207.58, 27619.03, 39712.36, 35169.64, 37162.41, 31130.86, 39983.01, 35946.54, 28366.52, 29951.98, 40186.78, 50571.36, 32563.19, 32207.74, 34805.16, 26620.61, 32791.29, 35023.07, 26037.19, 25014.17, 22937.9, 28856.74, 27047.64, 37864.66, 31422.07, 29368.14, 29439.74, 36583.08, 31676.46, 29744.25, 34050.76, 30086.86, 29348.76], [32150.18, 25285.24, 19099.7, 14173.57, 26184.86, 17752.6, 23148.61, 20780.68, 20168.94, 21178.59, 16560.55, 29365.82, 23855.04, 17234.34, 26267.7, 26141.76, 26250.48, 22090.39, 21541.84, 20595.83, 23051.97, 22945.63, 17305.82, 23164.67, 18172.0, 32394.56, 25360.63, 28995.24, 20275.84, 24027.02, 27505.81, 22703.44, 17584.25, 16834.37, 30722.54, 25847.39, 26649.2, 18519.69, 18348.12, 20415.98, 19592.53, 19778.88, 25505.35, 29621.4, 18642.25, 33204.9, 25960.33, 27167.15, 26294.99, 28241.02, 25324.0, 39552.75, 24145.72, 28054.54, 22726.21, 34494.79, 32289.77, 23823.56, 23255.09, 29651.66, 34628.41, 31515.82, 28821.56, 25045.89, 21037.21, 39653.57, 26762.9, 24243.85, 21432.57, 20539.73, 20990.06, 22862.46, 33766.52, 28192.96, 23389.44, 24328.4, 28371.8, 25816.19, 23648.83, 28276.29, 38658.88, 38515.33], [25738.04, 19913.2, 16790.67, 11860.9, 19927.38, 14706.5, 16354.45, 18619.35, 16549.77, 16631.69, 15759.09, 23062.33, 18597.07, 14480.2, 24962.54, 26915.97, 22787.45, 17159.91, 17111.7, 17576.81, 19086.23, 17400.83, 13620.22, 15434.43, 15196.4, 21098.2, 28206.5, 22466.48, 16221.58, 20073.41, 21229.3, 17647.23, 14939.49, 15664.9, 27837.17, 21366.45, 21327.28, 15599.11, 13938.13, 19611.86, 17830.94, 21998.19, 23299.17, 23916.43, 18258.67, 26281.64, 20098.85, 24116.7, 22630.54, 26739.58, 19458.87, 38487.54, 20195.47, 23486.83, 19228.76, 24159.73, 21535.23, 21521.31, 24639.11, 24871.76, 26304.24, 23268.23, 24487.15, 23871.07, 18284.17, 28291.17, 20945.59, 22369.94, 19811.22, 17389.8, 18273.11, 19522.99, 27882.67, 21450.9, 20552.6, 23607.35, 21404.13, 28296.36, 20808.6, 24527.67, 26593.14, 31033.18], [20606.05, 16801.72, 14192.07, 9904.96, 19833.32, 13891.48, 13870.17, 16287.23, 13383.61, 13732.02, 15122.03, 16335.75, 15380.33, 12027.54, 16431.03, 18109.8, 19971.19, 16989.68, 14138.87, 13614.16, 15974.7, 14098.04, 11590.2, 11597.36, 11400.63, 23751.08, 25079.71, 16940.29, 15396.49, 17698.38, 17329.15, 15414.73, 13043.51, 13406.36, 21583.89, 17619.21, 16981.52, 15169.28, 11339.97, 14285.46, 13204.94, 19390.34, 18399.97, 18752.41, 14739.07, 25994.83, 15773.26, 18723.76, 21783.59, 21137.32, 17354.26, 26962.54, 20638.69, 19665.77, 22455.74, 18405.64, 17890.93, 25762.9, 22246.87, 19802.24, 22481.12, 20835.04, 19030.91, 16927.84, 16072.49, 21382.07, 22745.14, 15799.05, 18981.85, 14811.25, 16522.04, 15604.83, 19421.44, 17115.78, 17471.55, 19105.94, 22977.11, 24641.57, 16121.9, 24298.46, 17342.35, 19248.41], [22772.16, 15034.4, 13741.74, 11835.56, 18289.43, 17056.12, 12040.76, 14448.98, 12275.62, 12255.37, 17561.96, 16624.51, 14661.5, 10510.08, 14125.62, 14929.4, 24107.77, 13659.7, 12283.03, 11761.84, 13469.6, 14120.36, 12719.73, 10034.25, 11259.79, 16559.39, 31762.07, 20615.73, 12660.14, 13992.03, 15396.42, 16368.64, 11565.03, 10941.74, 17168.12, 17513.5, 16020.86, 13917.48, 9500.66, 19390.18, 12671.12, 18785.94, 18905.01, 16947.82, 12242.09, 29837.37, 18936.32, 19703.51, 27774.12, 22748.74, 14303.81, 22450.11, 22886.6, 18904.29, 17416.04, 18858.4, 15528.36, 26579.42, 26121.59, 17212.57, 28153.06, 23376.16, 15224.49, 15583.27, 21217.4, 20427.43, 23452.75, 16741.52, 30198.36, 15672.8, 17535.92, 15052.75, 15273.23, 19793.78, 18612.71, 13365.51, 16452.14, 32081.91, 13964.53, 16749.78, 14773.73, 17116.17], [23767.55, 22347.14, 17339.43, 12925.78, 34902.46, 14124.93, 21610.55, 18611.16, 13874.47, 14368.61, 21513.16, 18401.39, 23147.1, 11673.81, 17407.93, 19596.07, 25084.21, 15580.89, 14990.72, 17952.25, 15543.08, 16393.5, 18436.23, 11431.06, 11965.3, 14726.15, 22453.76, 21456.65, 14941.06, 16395.21, 14685.41, 25111.82, 13330.21, 17590.17, 30383.6, 23226.29, 15479.99, 17075.9, 18972.43, 21841.24, 18849.04, 42223.31, 26037.88, 20118.15, 22821.5, 30995.92, 18894.75, 18612.61, 25497.0, 21882.33, 26321.83, 32933.12, 21215.67, 18142.29, 15945.98, 21042.48, 20583.84, 20560.02, 26845.0, 26617.84, 34139.15, 29715.86, 16112.45, 25927.78, 22152.14, 25137.8, 33871.69, 13858.76, 18798.82, 22151.35, 13284.47, 15851.55, 21942.79, 23406.24, 26217.27, 13559.07, 21131.23, 37332.1, 22115.41, 25199.08, 15185.71, 24053.0], [25831.89, 25004.76, 18503.66, 13594.84, 26176.69, 18411.58, 35511.48, 22441.18, 24967.68, 29859.02, 27124.93, 25773.5, 31708.34, 21600.95, 29777.43, 22391.65, 24543.99, 22869.29, 21100.25, 30429.5, 16296.95, 24523.57, 22523.1, 15501.59, 18872.23, 22472.39, 28037.37, 24399.38, 22887.14, 26654.33, 22534.09, 26281.36, 20988.75, 24865.56, 34692.72, 35360.85, 27010.2, 20988.36, 38522.5, 24500.92, 25310.61, 43420.75, 35193.52, 21707.73, 31387.95, 40779.06, 28225.77, 30537.62, 33284.42, 27321.85, 47896.08, 38532.69, 22792.1, 24029.92, 17271.2, 29198.04, 26072.51, 27553.75, 24614.4, 22967.04, 46357.71, 21313.7, 23953.59, 25345.95, 36517.51, 33685.87, 28944.96, 20108.6, 29306.63, 26133.38, 22837.29, 21655.14, 26349.73, 29076.36, 29204.23, 23931.0, 26396.78, 37931.62, 29379.11, 27410.53, 23276.7, 22846.94], [38566.5, 48755.6, 36070.84, 33700.23, 32033.65, 34416.72, 53788.68, 40579.16, 37058.66, 34210.67, 40816.63, 41600.78, 39227.88, 27408.38, 59081.29, 28648.63, 44644.33, 48005.17, 34140.7, 43351.87, 25642.92, 28734.88, 33971.28, 23822.86, 35724.0, 44481.07, 41970.5, 30205.39, 27119.48, 42229.06, 26492.55, 52567.64, 16616.9, 38767.96, 53610.53, 42361.49, 41348.52, 38279.56, 39293.9, 24936.41, 45488.06, 47985.13, 44074.47, 36129.72, 44509.73, 59740.8, 50561.77, 46501.2, 43322.51, 53996.58, 63642.28, 60795.26, 44335.09, 32110.3, 41561.28, 48844.35, 32901.12, 63065.14, 25343.75, 35462.89, 54242.97, 35365.63, 36427.0, 34081.72, 46049.51, 50920.23, 39745.84, 31191.19, 45301.54, 40578.93, 35212.74, 33943.97, 40568.42, 56921.92, 56973.22, 30130.6, 38489.84, 62539.4, 44712.54, 44675.39, 27895.03, 40031.75]],[[7409.65, 5285.8, 3001.83, 4138.99, 3066.59, 10383.66, 5287.43, 8187.34, 3943.3, 10381.68, 6545.04, 4552.72, 2079.84, 6164.98, 1251.1, 8897.66, 6681.96, 5057.3, 2765.38, 5640.01, 6542.95, 3614.85, 5157.45, 9775.0, 3532.37, 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inflow_initial = [39717.564, 6632.5141, 15897.183, 2525.938]

m = SDDPModel(
                  sense = :Min,
                 stages = 120,
                 solver = GurobiSolver(OutputFlag = 0),
                 objective_bound = 0.0,
                                        ) do sp, t

    s = t%12==0?12:t%12
    @state(sp, 0 <= storedEnergy_now_1 <= storedEnergy_ub[1], storedEnergy_past_1==storedEnergy_initial[1])
    @state(sp, 0 <= storedEnergy_now_2 <= storedEnergy_ub[2], storedEnergy_past_2==storedEnergy_initial[2])
    @state(sp, 0 <= storedEnergy_now_3 <= storedEnergy_ub[3], storedEnergy_past_3==storedEnergy_initial[3])
    @state(sp, 0 <= storedEnergy_now_4 <= storedEnergy_ub[4], storedEnergy_past_4==storedEnergy_initial[4])

    @variable(sp, spillEnergy[i=1:4] >=0)
    @variable(sp, 0 <= hydroGeneration[i=1:4] <= hydro_ub[i])
    @variable(sp, thermal_lb[1][i] <= thermal_1[i=1:43] <= thermal_ub[1][i] )
    @variable(sp, thermal_lb[2][i] <= thermal_2[i=1:17] <= thermal_ub[2][i] )
    @variable(sp, thermal_lb[3][i] <= thermal_3[i=1:33] <= thermal_ub[3][i] )
    @variable(sp, thermal_lb[4][i] <= thermal_4[i=1:2] <= thermal_ub[4][i] )

    @variable(sp, 0 <= exchange_1[i=1:5] <= exchange_ub[1][i])
    @variable(sp, 0 <= exchange_2[i=1:5] <= exchange_ub[2][i])
    @variable(sp, 0 <= exchange_3[i=1:5] <= exchange_ub[3][i])
    @variable(sp, 0 <= exchange_4[i=1:5] <= exchange_ub[4][i])
    @variable(sp, 0 <= exchange_5[i=1:5] <= exchange_ub[5][i])

    @variable(sp, 0 <= deficit_1[i=1:4] <= (demand[s][1] * deficit_ub[i]) )
    @variable(sp, 0 <= deficit_2[i=1:4] <= (demand[s][2] * deficit_ub[i]))
    @variable(sp, 0 <= deficit_3[i=1:4] <= (demand[s][3] * deficit_ub[i]))
    @variable(sp, 0 <= deficit_4[i=1:4] <= (demand[s][4] * deficit_ub[i]))

    @stageobjective(sp, sum(deficit_obj[i] * deficit_1[i] for i=1:4) + sum(deficit_obj[i] * deficit_2[i] for i=1:4) +
    + sum(deficit_obj[i] * deficit_3[i] for i=1:4) + sum(deficit_obj[i] * deficit_4[i] for i=1:4) +
    sum(thermal_obj[1][i] * thermal_1[i] for i=1:43) + sum(thermal_obj[2][i] * thermal_2[i] for i=1:17) +
    sum(thermal_obj[3][i] * thermal_3[i] for i=1:33) + sum(thermal_obj[4][i] * thermal_4[i] for i=1:2))

    @constraint(sp, sum(deficit_1[i] for i=1:4) + hydroGeneration[1] + sum(thermal_1[i] for i=1:43) + exchange_1[1] + exchange_2[1] + exchange_3[1] + exchange_4[1] + exchange_5[1]- sum(exchange_1[i] for i=1:5)== demand[s][1])
    @constraint(sp, sum(deficit_2[i] for i=1:4) + hydroGeneration[2] + sum(thermal_2[i] for i=1:17) + exchange_1[2]+ exchange_2[2] + exchange_3[2] + exchange_4[2] + exchange_5[2]- sum(exchange_2[i] for i=1:5)== demand[s][2])
    @constraint(sp, sum(deficit_3[i] for i=1:4) + hydroGeneration[3] + sum(thermal_3[i] for i=1:33) + exchange_1[3]+ exchange_2[3] + exchange_3[3] + exchange_4[3] + exchange_5[3]- sum(exchange_3[i] for i=1:5)== demand[s][3])
    @constraint(sp, sum(deficit_4[i] for i=1:4) + hydroGeneration[4] + sum(thermal_4[i] for i=1:2) + exchange_1[4]+ exchange_2[4] + exchange_3[4] + exchange_4[4] + exchange_5[4]- sum(exchange_4[i] for i=1:5)== demand[s][4])
    @constraint(sp, exchange_1[5] + exchange_2[5] + exchange_3[5] + exchange_4[5] + exchange_5[5] - sum(exchange_5[i] for i=1:5) == 0 )
    if t == 1
        @constraint(sp, storedEnergy_now_1 + spillEnergy[1] + hydroGeneration[1] - storedEnergy_past_1 == inflow_initial[1])
        @constraint(sp, storedEnergy_now_2 + spillEnergy[2] + hydroGeneration[2] - storedEnergy_past_2 == inflow_initial[2])
        @constraint(sp, storedEnergy_now_3 + spillEnergy[3] + hydroGeneration[3] - storedEnergy_past_3 == inflow_initial[3])
        @constraint(sp, storedEnergy_now_4 + spillEnergy[4] + hydroGeneration[4] - storedEnergy_past_4 == inflow_initial[4])
    else
        r = (t-1)%12==0?12:(t-1)%12
        @rhsnoise(sp, inflow_1 = scenarios[1][r], storedEnergy_now_1 + spillEnergy[1] + hydroGeneration[1] - storedEnergy_past_1 == inflow_1)
        @rhsnoise(sp, inflow_2 = scenarios[2][r], storedEnergy_now_2 + spillEnergy[2] + hydroGeneration[2] - storedEnergy_past_2 == inflow_2)
        @rhsnoise(sp, inflow_3 = scenarios[3][r], storedEnergy_now_3 + spillEnergy[3] + hydroGeneration[3] - storedEnergy_past_3 == inflow_3)
        @rhsnoise(sp, inflow_4 = scenarios[4][r], storedEnergy_now_4 + spillEnergy[4] + hydroGeneration[4] - storedEnergy_past_4 == inflow_4)
    end
end
srand(parse(Int,ARGS[1]))
solve(m,
    time_limit = 200,
    print_level    = 2,
    solve_type     = Serial()
)
