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                | Model Hydro | 
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                |   | 
                MODEL Hpower | 
               
              
                |   | 
                SET | 
               
              
                |   | 
                  | 
                maxi={1 .. 3},  | 
               
              
                |   | 
                  | 
                maxh={1 .. 2},  | 
               
              
                |   | 
                  | 
                 maxt={1 .. 5};  | 
               
              
                |   | 
                DATA | 
               
              
                |   | 
                  | 
                minlevel[maxi]=[0.85,1.25,1.5],  | 
               
              
                |   | 
                  | 
                 maxlevel[maxi]=[2,1.75,4],  | 
               
              
                |   | 
                  | 
                 costph[maxi]=[1,2.6,3],  | 
               
              
                |   | 
                  | 
                 excostph[maxi]=[2,1.3,3],  | 
               
              
                |   | 
                  | 
                 exctminl[maxi]=[1.7,1.625,4.5],  | 
               
              
                |   | 
                  | 
                 startcost[maxi]=[2,1,0.5],  | 
               
              
                |   | 
                  | 
                demand[maxt]=[15,30,25,40,27],  | 
               
              
                |   | 
                  | 
                nhours[maxt]=[6,3,6,3,6],  | 
               
              
                |   | 
                  | 
                number[maxi]=[12,10,5],  | 
               
              
                |   | 
                  | 
                 hydrolevel[maxh]=[0.9,1.4],  | 
               
              
                |   | 
                  | 
                 startcosth[maxh]=[1.5,1.2],  | 
               
              
                |   | 
                  | 
                 costphh[maxh]=[0.09,0.15],  | 
               
              
                |   | 
                  | 
                 numhyd[maxh]=[1,1],  | 
               
              
                |   | 
                  | 
                 redheight[maxh]=[0.31,0.47];  | 
               
              
                |   | 
                VARIABLES | 
               
              
                |   | 
                  | 
                out[maxi,maxt],  | 
               
              
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                 num[maxi,maxt] integer,  | 
               
              
                |   | 
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                nst[maxi,maxt] integer,  | 
               
              
                |   | 
                  | 
                 numh[maxh,maxt] integer,  | 
               
              
                |   | 
                  | 
                 nsth[maxh,maxt] integer,  | 
               
              
                |   | 
                  | 
                 heit[maxt],  | 
               
              
                |   | 
                  | 
                pump[maxt];  | 
               
              
                |   | 
                OBJECTIVE | 
               
              
                |   | 
                   | 
                MINIMIZE cost = sum{i in maxi, t in maxt} (excostph[i]*nhours[t]*out[i,t] - exctminl[i]*nhours[t]*num[i,t] + costph[i]*nhours[t]*num[i,t] + startcost[i]*nst[i,t]) +sum{h in maxh,t in maxt} costphh[h]*nhours[t]*numh[h,t] +sum{h in maxh,t in maxt} startcosth[h]*nsth[h,t]; | 
               
              
                |   | 
                CONSTRAINTS | 
               
              
                |   | 
                   | 
                for {t in maxt} { dem{t} : sum {i in maxi} out[i,t] +sum {h in maxh} hydrolevel[h]*numh[h,t] -pump[t] >= demand[t], guar{t}: sum {i in maxi} maxlevel[i]*num[i,t] >= 1.15*demand[t]-sum{h in maxh} hydrolevel[h], | 
               
              
                |   | 
                   | 
                for {i in maxi} { min{i,t} : out[i,t] - minlevel[i]*num[i,t] >= 0, max{i,t} : out[i,t] - maxlevel[i]*num[i,t] <= 0, st{i,t,t>1} : nst[i,t] - num[i,t] + num[i,t-1] >= 0, st{i,t,t=1} : nst[i,t] - num[i,t] + num[i,maxt] >= 0, bounds{i,t} : num[i,t] <= number[i], bounds{i,t} : nst[i,t] <= number[i] }, | 
               
              
                |   | 
                    | 
                for {h in maxh} { sth{h,t,t>1} : nsth[h,t] - numh[h,t] + numh[h,t-1] >= 0, sth{h,t,t=1} : nsth[h,t] - numh[h,t] + numh[h,maxt] >= 0, bounds{h,t} : nsth[h,t] <= numhyd[h], bounds{h,t} : numh[h,t] <= numhyd[h] }, high{t,t<maxt} : heit[t+1] - heit[t] - (nhours[t]/3)*pump[t] +sum {h in maxh} nhours[t]*redheight[h]*numh[h,t] = 0, high{t, t=maxt} : heit[1] - heit[t] - (nhours[t]/3)*pump[t]+sum {h in maxh} nhours[t]*redheight[h]*numh[h,t] = 0 | 
               
              
                |   | 
                  | 
                 bounds{t,t=1} : heit[t] = 16,  | 
               
              
                |   | 
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                 bounds{t,t>2} : heit[t] <= 20,  | 
               
              
                |   | 
                  | 
                 bounds{t,t>2} : heit[t] >= 15 };  | 
               
              
                |   | 
                END MODEL | 
               
              
                |   | 
                  | 
                solve Hpower;  | 
               
              
                |   | 
                  | 
                print solution for Hydro >> "Hpower.sol";  | 
               
              
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                  | 
                quit;  | 
               
             
            
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