lakes.gms
<![CDATA[
* NLP written by GAMS Convert at 10/06/06 11:33:49
*
* Equation counts
* Total E G L N X C
* 79 79 0 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 91 91 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 301 211 90 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36
,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53
,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
,x88,x89,x90,objvar;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
,e71,e72,e73,e74,e75,e76,e77,e78,e79;
e1.. - x1 + x2 + x16 =E= -22;
e2.. - x2 - x3 + x4 + x18 =E= -1;
e3.. - x4 - x5 + x6 + x20 =E= 3;
e4.. - x6 - x7 + x8 + x22 =E= -27.2;
e5.. - x8 - x9 + x10 + x24 =E= 51.5;
e6.. - x16 + x17 + x31 =E= 44;
e7.. - x17 - x18 + x19 + x33 =E= 162;
e8.. - x19 - x20 + x21 + x35 =E= 8;
e9.. - x21 - x22 + x23 + x37 =E= 12.5;
e10.. - x23 - x24 + x25 + x39 =E= 53.5;
e11.. - x31 + x32 + x46 =E= -11;
e12.. - x32 - x33 + x34 + x48 =E= 60;
e13.. - x34 - x35 + x36 + x50 =E= 10;
e14.. - x36 - x37 + x38 + x52 =E= 18;
e15.. - x38 - x39 + x40 + x54 =E= 39;
e16.. - x46 + x47 + x61 =E= 124;
e17.. - x47 - x48 + x49 + x63 =E= 246;
e18.. - x49 - x50 + x51 + x65 =E= 6;
e19.. - x51 - x52 + x53 + x67 =E= 9.7;
e20.. - x53 - x54 + x55 + x69 =E= 17.2;
e21.. - x61 + x62 + x76 =E= 127;
e22.. - x62 - x63 + x64 + x78 =E= 175;
e23.. - x64 - x65 + x66 + x80 =E= 3;
e24.. - x66 - x67 + x68 + x82 =E= 10;
e25.. - x68 - x69 + x70 + x84 =E= 30.2;
e26.. x1 - x76 + x77 =E= 78;
e27.. x3 - x77 - x78 + x79 =E= 156;
e28.. x5 - x79 - x80 + x81 =E= 3;
e29.. x7 - x81 - x82 + x83 =E= 14;
e30.. x9 - x83 - x84 + x85 =E= 23.2;
e31.. 0.0841168*sqr(x11)*sqrt(x12) - x4 =E= 0;
e32.. 0.1280849*sqr(x13)*sqrt(x14) - x6 =E= 0;
e33.. 0.2605*exp(2.2*log(x15)) - x8 =E= 0;
e34.. 0.00103993344425957*x3 + 0.108695652173913*x5 - x11 =E= 543.4;
e35.. 0.00207986688851913*x3 - 0.217391304347826*x5 - x12 =E= 0;
e36.. 0.217391304347826*x5 - x13 =E= 543.4;
e37.. 0.217391304347826*x5 - 0.00951022349025202*x7 - x14 =E= 0;
e38.. 0.00951022349025202*x7 - x15 =E= 550.11;
e39.. 0.0841168*sqr(x26)*sqrt(x27) - x19 =E= 0;
e40.. 0.1280849*sqr(x28)*sqrt(x29) - x21 =E= 0;
e41.. 0.2605*exp(2.2*log(x30)) - x23 =E= 0;
e42.. 0.00103993344425957*x18 + 0.108695652173913*x20 - x26 =E= 543.4;
e43.. 0.00207986688851913*x18 - 0.217391304347826*x20 - x27 =E= 0;
e44.. 0.217391304347826*x20 - x28 =E= 543.4;
e45.. 0.217391304347826*x20 - 0.00951022349025202*x22 - x29 =E= 0;
e46.. 0.00951022349025202*x22 - x30 =E= 550.11;
e47.. 0.0841168*sqr(x41)*sqrt(x42) - x34 =E= 0;
e48.. 0.1280849*sqr(x43)*sqrt(x44) - x36 =E= 0;
e49.. 0.2605*exp(2.2*log(x45)) - x38 =E= 0;
e50.. 0.00103993344425957*x33 + 0.108695652173913*x35 - x41 =E= 543.4;
e51.. 0.00207986688851913*x33 - 0.217391304347826*x35 - x42 =E= 0;
e52.. 0.217391304347826*x35 - x43 =E= 543.4;
e53.. 0.217391304347826*x35 - 0.00951022349025202*x37 - x44 =E= 0;
e54.. 0.00951022349025202*x37 - x45 =E= 550.11;
e55.. 0.0841168*sqr(x56)*sqrt(x57) - x49 =E= 0;
e56.. 0.1280849*sqr(x58)*sqrt(x59) - x51 =E= 0;
e57.. 0.2605*exp(2.2*log(x60)) - x53 =E= 0;
e58.. 0.00103993344425957*x48 + 0.108695652173913*x50 - x56 =E= 543.4;
e59.. 0.00207986688851913*x48 - 0.217391304347826*x50 - x57 =E= 0;
e60.. 0.217391304347826*x50 - x58 =E= 543.4;
e61.. 0.217391304347826*x50 - 0.00951022349025202*x52 - x59 =E= 0;
e62.. 0.00951022349025202*x52 - x60 =E= 550.11;
e63.. 0.0841168*sqr(x71)*sqrt(x72) - x64 =E= 0;
e64.. 0.1280849*sqr(x73)*sqrt(x74) - x66 =E= 0;
e65.. 0.2605*exp(2.2*log(x75)) - x68 =E= 0;
e66.. 0.00103993344425957*x63 + 0.108695652173913*x65 - x71 =E= 543.4;
e67.. 0.00207986688851913*x63 - 0.217391304347826*x65 - x72 =E= 0;
e68.. 0.217391304347826*x65 - x73 =E= 543.4;
e69.. 0.217391304347826*x65 - 0.00951022349025202*x67 - x74 =E= 0;
e70.. 0.00951022349025202*x67 - x75 =E= 550.11;
e71.. 0.0841168*sqr(x86)*sqrt(x87) - x79 =E= 0;
e72.. 0.1280849*sqr(x88)*sqrt(x89) - x81 =E= 0;
e73.. 0.2605*exp(2.2*log(x90)) - x83 =E= 0;
e74.. 0.00103993344425957*x78 + 0.108695652173913*x80 - x86 =E= 543.4;
e75.. 0.00207986688851913*x78 - 0.217391304347826*x80 - x87 =E= 0;
e76.. 0.217391304347826*x80 - x88 =E= 543.4;
e77.. 0.217391304347826*x80 - 0.00951022349025202*x82 - x89 =E= 0;
e78.. 0.00951022349025202*x82 - x90 =E= 550.11;
e79.. - 0.001*((-202761.072 + x1)*(-202761.072 + x1) + (-232.252 + x2)*(-
232.252 + x2) + (-277791.816 + x3)*(-277791.816 + x3) + (-174.665 + x4)*(
-174.665 + x4) + (-2636.996 + x5)*(-2636.996 + x5) + (-180.539 + x6)*(-
180.539 + x6) + (-59987.0235 + x7)*(-59987.0235 + x7) + (-211.558 + x8)*(
-211.558 + x8) + (-19490.4 + x9)*(-19490.4 + x9) + (-232.252 + x10)*(-
232.252 + x10) + (-202703.646 + x16)*(-202703.646 + x16) + (-83.789 + x17
)*(-83.789 + x17) + (-277849.512 + x18)*(-277849.512 + x18) + (-173.255
+ x19)*(-173.255 + x19) + (-2638.1 + x20)*(-2638.1 + x20) + (-179.917 +
x21)*(-179.917 + x21) + (-59998.59 + x22)*(-59998.59 + x22) + (-210.585
+ x23)*(-210.585 + x23) + (-19555.2 + x24)*(-19555.2 + x24) + (-215.254
+ x25)*(-215.254 + x25) + (-202720.536 + x31)*(-202720.536 + x31) + (-
82.916 + x32)*(-82.916 + x32) + (-277955.288 + x33)*(-277955.288 + x33)
+ (-173.721 + x34)*(-173.721 + x34) + (-2639.894 + x35)*(-2639.894 + x35
) + (-182.676 + x36)*(-182.676 + x36) + (-60046.959 + x37)*(-60046.959 +
x37) + (-207.838 + x38)*(-207.838 + x38) + (-19597.6 + x39)*(-19597.6 +
x39) + (-203.855 + x40)*(-203.855 + x40) + (-202808.364 + x46)*(-
202808.364 + x46) + (-80.134 + x47)*(-80.134 + x47) + (-278104.336 + x48)
*(-278104.336 + x48) + (-178.654 + x49)*(-178.654 + x49) + (-2640.906 +
x50)*(-2640.906 + x50) + (-185.917 + x51)*(-185.917 + x51) + (-60074.298
+ x52)*(-60074.298 + x52) + (-206.416 + x53)*(-206.416 + x53) + (-
19652.8 + x54)*(-19652.8 + x54) + (-186.308 + x55)*(-186.308 + x55) + (-
202916.46 + x61)*(-202916.46 + x61) + (-65.345 + x62)*(-65.345 + x62) + (
-278224.536 + x63)*(-278224.536 + x63) + (-188.01 + x64)*(-188.01 + x64)
+ (-2641.458 + x65)*(-2641.458 + x65) + (-192.568 + x66)*(-192.568 + x66
) + (-60091.122 + x67)*(-60091.122 + x67) + (-204.3 + x68)*(-204.3 + x68)
+ (-19708.8 + x69)*(-19708.8 + x69) + (-201.1 + x70)*(-201.1 + x70) + (-
202953.618 + x76)*(-202953.618 + x76) + (-72.005 + x77)*(-72.005 + x77)
+ (-278277.424 + x78)*(-278277.424 + x78) + (-193.833 + x79)*(-193.833
+ x79) + (-2641.458 + x80)*(-2641.458 + x80) + (-196.651 + x81)*(-
196.651 + x81) + (-60082.71 + x82)*(-60082.71 + x82) + (-204.25 + x83)*(-
204.25 + x83) + (-19706.4 + x84)*(-19706.4 + x84) + (-241.079 + x85)*(-
241.079 + x85)) + objvar =E= 0;
* set non default bounds
x12.lo = 0.0001;
x14.lo = 0.0001;
x15.lo = 0.0001;
x27.lo = 0.0001;
x29.lo = 0.0001;
x30.lo = 0.0001;
x42.lo = 0.0001;
x44.lo = 0.0001;
x45.lo = 0.0001;
x57.lo = 0.0001;
x59.lo = 0.0001;
x60.lo = 0.0001;
x72.lo = 0.0001;
x74.lo = 0.0001;
x75.lo = 0.0001;
x87.lo = 0.0001;
x89.lo = 0.0001;
x90.lo = 0.0001;
* set non default levels
x1.l = 1;
x2.l = 1;
x3.l = 1;
x4.l = 1;
x5.l = 1;
x6.l = 1;
x7.l = 1;
x8.l = 1;
x9.l = 1;
x10.l = 1;
x11.l = 1;
x12.l = 1;
x13.l = 1;
x14.l = 1;
x15.l = 1;
x16.l = 1;
x17.l = 1;
x18.l = 1;
x19.l = 1;
x20.l = 1;
x21.l = 1;
x22.l = 1;
x23.l = 1;
x24.l = 1;
x25.l = 1;
x26.l = 1;
x27.l = 1;
x28.l = 1;
x29.l = 1;
x30.l = 1;
x31.l = 1;
x32.l = 1;
x33.l = 1;
x34.l = 1;
x35.l = 1;
x36.l = 1;
x37.l = 1;
x38.l = 1;
x39.l = 1;
x40.l = 1;
x41.l = 1;
x42.l = 1;
x43.l = 1;
x44.l = 1;
x45.l = 1;
x46.l = 1;
x47.l = 1;
x48.l = 1;
x49.l = 1;
x50.l = 1;
x51.l = 1;
x52.l = 1;
x53.l = 1;
x54.l = 1;
x55.l = 1;
x56.l = 1;
x57.l = 1;
x58.l = 1;
x59.l = 1;
x60.l = 1;
x61.l = 1;
x62.l = 1;
x63.l = 1;
x64.l = 1;
x65.l = 1;
x66.l = 1;
x67.l = 1;
x68.l = 1;
x69.l = 1;
x70.l = 1;
x71.l = 1;
x72.l = 1;
x73.l = 1;
x74.l = 1;
x75.l = 1;
x76.l = 1;
x77.l = 1;
x78.l = 1;
x79.l = 1;
x80.l = 1;
x81.l = 1;
x82.l = 1;
x83.l = 1;
x84.l = 1;
x85.l = 1;
x86.l = 1;
x87.l = 1;
x88.l = 1;
x89.l = 1;
x90.l = 1;
* set non default marginals
Model m / all /;
m.limrow=0; m.limcol=0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
Solve m using NLP minimizing objvar;
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