palmer1e.gms
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* NLP written by GAMS Convert at 10/06/06 11:47:10
*
* Equation counts
* Total E G L N X C
* 1 1 0 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 9 9 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 9 1 8 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,x4,x5,x6,x7,x8,objvar;
Equations e1;
e1.. - (sqr(78.596218 - exp(-3.200388615369*x8)*x7 - x1 - 3.200388615369*x2 -
10.2424872893835*x3 - 32.7799397140047*x4 - 104.908545873183*x5 -
335.748115867451*x6) + sqr(65.77963 - exp(-3.046173318241*x8)*x7 - x1 -
3.046173318241*x2 - 9.27917188476338*x3 - 28.2659658107383*x4 -
86.1030308669832*x5 - 262.284755246686*x6) + sqr(43.96947 - exp(-
2.749172911969*x8)*x7 - x1 - 2.749172911969*x2 - 7.55795169990411*x3 -
20.7781160833464*x4 - 57.1226338980835*x5 - 157.039997772933*x6) + sqr(
27.038816 - exp(-2.467400073616*x8)*x7 - x1 - 2.467400073616*x2 -
6.08806312328024*x3 - 15.0216873985605*x4 - 37.0645125930448*x5 -
91.4529811006199*x6) + sqr(14.6126 - exp(-2.2008612609*x8)*x7 - x1 -
2.2008612609*x2 - 4.84379028973034*x3 - 10.6605104045911*x4 -
23.4623043708859*x5 - 51.6372767813275*x6) + sqr(6.2614 - exp(-
1.949550365169*x8)*x7 - x1 - 1.949550365169*x2 - 3.80074662633058*x3 -
7.40974697327763*x4 - 14.4456749175633*x5 - 28.1625708106482*x6) + sqr(
1.53833 - exp(-1.713473146009*x8)*x7 - x1 - 1.713473146009*x2 -
2.93599022209398*x3 - 5.03074040250303*x4 - 8.62003858423146*x5 -
14.770204631642*x6) + sqr((-exp(-1.485015206544*x8)*x7) - x1 -
1.485015206544*x2 - 2.20527016366692*x3 - 3.27485972758315*x4 -
4.86321649475952*x5 - 7.2219504474335*x6) + sqr(1.188045 - exp(-
1.287008567296*x8)*x7 - x1 - 1.287008567296*x2 - 1.6563910522933*x3 -
2.13178947509392*x4 - 2.74363131811731*x5 - 3.5310770119186*x6) + sqr(
4.6841 - exp(-1.096623651204*x8)*x7 - x1 - 1.096623651204*x2 -
1.20258343237999*x3 - 1.31878143449399*x4 - 1.44620691183484*x5 -
1.58594470405279*x6) + sqr(16.9321 - exp(-0.761544202225*x8)*x7 - x1 -
0.761544202225*x2 - 0.579949571942512*x3 - 0.44165723409569*x4 -
0.336341505996303*x5 - 0.256138923859109*x6) + sqr(33.6988 - exp(-
0.487388289424*x8)*x7 - x1 - 0.487388289424*x2 - 0.237547344667653*x3 -
0.115777793974781*x4 - 0.0564287409586526*x5 - 0.0275027075301877*x6) +
sqr(52.3664 - exp(-0.274155912801*x8)*x7 - x1 - 0.274155912801*x2 -
0.0751614645237495*x3 - 0.0206059599139685*x4 - 0.00564924574935486*x5 -
0.00154877412505155*x6) + sqr(70.163 - exp(-0.121847072356*x8)*x7 - x1 -
0.121847072356*x2 - 0.0148467090417283*x3 - 0.00180902803085595*x4 -
0.000220424769369737*x5 - 2.68581128224489e-5*x6) + sqr(83.4221 - exp(-
0.030461768089*x8)*x7 - x1 - 0.030461768089*x2 - 0.000927919315108019*x3
- 2.82660629821242e-5*x4 - 8.61034255350534e-7*x5 - 2.62286258031728e-8*
x6) + sqr(88.3995 - x1 - x7) + sqr(78.596218 - exp(-3.200388615369*x8)*x7
- x1 - 3.200388615369*x2 - 10.2424872893835*x3 - 32.7799397140047*x4 -
104.908545873183*x5 - 335.748115867451*x6) + sqr(65.77963 - exp(-
3.046173318241*x8)*x7 - x1 - 3.046173318241*x2 - 9.27917188476338*x3 -
28.2659658107383*x4 - 86.1030308669832*x5 - 262.284755246686*x6) + sqr(
43.96947 - exp(-2.749172911969*x8)*x7 - x1 - 2.749172911969*x2 -
7.55795169990411*x3 - 20.7781160833464*x4 - 57.1226338980835*x5 -
157.039997772933*x6) + sqr(27.038816 - exp(-2.467400073616*x8)*x7 - x1 -
2.467400073616*x2 - 6.08806312328024*x3 - 15.0216873985605*x4 -
37.0645125930448*x5 - 91.4529811006199*x6) + sqr(14.6126 - exp(-
2.2008612609*x8)*x7 - x1 - 2.2008612609*x2 - 4.84379028973034*x3 -
10.6605104045911*x4 - 23.4623043708859*x5 - 51.6372767813275*x6) + sqr(
6.2614 - exp(-1.949550365169*x8)*x7 - x1 - 1.949550365169*x2 -
3.80074662633058*x3 - 7.40974697327763*x4 - 14.4456749175633*x5 -
28.1625708106482*x6) + sqr(1.53833 - exp(-1.713473146009*x8)*x7 - x1 -
1.713473146009*x2 - 2.93599022209398*x3 - 5.03074040250303*x4 -
8.62003858423146*x5 - 14.770204631642*x6) + sqr((-exp(-1.485015206544*x8)*
x7) - x1 - 1.485015206544*x2 - 2.20527016366692*x3 - 3.27485972758315*x4
- 4.86321649475952*x5 - 7.2219504474335*x6) + sqr(1.188045 - exp(-
1.287008567296*x8)*x7 - x1 - 1.287008567296*x2 - 1.6563910522933*x3 -
2.13178947509392*x4 - 2.74363131811731*x5 - 3.5310770119186*x6) + sqr(
4.6841 - exp(-1.096623651204*x8)*x7 - x1 - 1.096623651204*x2 -
1.20258343237999*x3 - 1.31878143449399*x4 - 1.44620691183484*x5 -
1.58594470405279*x6) + sqr(16.9321 - exp(-0.761544202225*x8)*x7 - x1 -
0.761544202225*x2 - 0.579949571942512*x3 - 0.44165723409569*x4 -
0.336341505996303*x5 - 0.256138923859109*x6) + sqr(33.6988 - exp(-
0.487388289424*x8)*x7 - x1 - 0.487388289424*x2 - 0.237547344667653*x3 -
0.115777793974781*x4 - 0.0564287409586526*x5 - 0.0275027075301877*x6) +
sqr(52.3664 - exp(-0.274155912801*x8)*x7 - x1 - 0.274155912801*x2 -
0.0751614645237495*x3 - 0.0206059599139685*x4 - 0.00564924574935486*x5 -
0.00154877412505155*x6) + sqr(70.163 - exp(-0.121847072356*x8)*x7 - x1 -
0.121847072356*x2 - 0.0148467090417283*x3 - 0.00180902803085595*x4 -
0.000220424769369737*x5 - 2.68581128224489e-5*x6) + sqr(83.4221 - exp(-
0.030461768089*x8)*x7 - x1 - 0.030461768089*x2 - 0.000927919315108019*x3
- 2.82660629821242e-5*x4 - 8.61034255350534e-7*x5 - 2.62286258031728e-8*
x6) + sqr(108.18086 - exp(-3.52023488519521*x8)*x7 - x1 - 3.52023488519521
*x2 - 12.3920536469453*x3 - 43.6229395471875*x4 - 153.562993588771*x5 -
540.577807106201*x6) + sqr(92.733676 - exp(-3.35840699965849*x8)*x7 - x1
- 3.35840699965849*x2 - 11.2788975753551*x3 - 37.8791285655039*x4 -
127.213530515352*x5 - 427.234811334027*x6) + sqr(108.18086 - exp(-
3.52023488519521*x8)*x7 - x1 - 3.52023488519521*x2 - 12.3920536469453*x3
- 43.6229395471875*x4 - 153.562993588771*x5 - 540.577807106201*x6) + sqr(
92.733676 - exp(-3.35840699965849*x8)*x7 - x1 - 3.35840699965849*x2 -
11.2788975753551*x3 - 37.8791285655039*x4 - 127.213530515352*x5 -
427.234811334027*x6)) + objvar =E= 0;
* set non default bounds
* 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 = 4;
* 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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