ex14_1_7.gms:
References:
- Floudas, C A, Pardalos, P M, Adjiman, C S, Esposito, W R, Gumus, Z H, Harding, S T, Klepeis, J L, Meyer, C A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, 1999.
- Ratschek, H, and Rokne, J, A Circuit Design Problem. J. Global Opt. 3 (1993), 501.
- Original source: Global Model of Chapter 14 ex14.1.7.gms from Floudas e.a. Test Problems
Point:
<![CDATA[
* NLP written by GAMS Convert at 07/19/01 13:40:26
*
* Equation counts
* Total E G L N X
* 18 2 0 16 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 11 11 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 118 18 100 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,objvar;
Positive Variables x1,x2,x3,x4,x5,x6,x7,x8,x9;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18;
e1.. - x10 + objvar =E= 0;
e2.. (1 - x1*x2)*x3*(exp(x5*(0.485 + (-0.0052095*x7) - 0.0285132*x8)) - 1) +
23.3037*x2 - x10 =L= 28.5132;
e3.. (1 - x1*x2)*x3*(exp(x5*(0.752 + (-0.0100677*x7) - 0.1118467*x8)) - 1) +
101.779*x2 - x10 =L= 111.8467;
e4.. (1 - x1*x2)*x3*(exp(x5*(0.869 + (-0.0229274*x7) - 0.1343884*x8)) - 1) +
111.461*x2 - x10 =L= 134.3884;
e5.. (1 - x1*x2)*x3*(exp(x5*(0.982 + (-0.0202153*x7) - 0.2114823*x8)) - 1) +
191.267*x2 - x10 =L= 211.4823;
e6.. (-(1 - x1*x2)*x3*(exp(x5*(0.485 + (-0.0052095*x7) - 0.0285132*x8)) - 1))
- 23.3037*x2 - x10 =L= -28.5132;
e7.. (-(1 - x1*x2)*x3*(exp(x5*(0.752 + (-0.0100677*x7) - 0.1118467*x8)) - 1))
- 101.779*x2 - x10 =L= -111.8467;
e8.. (-(1 - x1*x2)*x3*(exp(x5*(0.869 + (-0.0229274*x7) - 0.1343884*x8)) - 1))
- 111.461*x2 - x10 =L= -134.3884;
e9.. (-(1 - x1*x2)*x3*(exp(x5*(0.982 + (-0.0202153*x7) - 0.2114823*x8)) - 1))
- 191.267*x2 - x10 =L= -211.4823;
e10.. (1 - x1*x2)*x4*(exp(x6*(0.116 + 0.0233037*x9 - 0.0052095*x7)) - 1) -
28.5132*x1 - x10 =L= -23.3037;
e11.. (1 - x1*x2)*x4*(exp(x6*(0.101779*x9 - 0.0100677*x7 - 0.502)) - 1) -
111.8467*x1 - x10 =L= -101.779;
e12.. (1 - x1*x2)*x4*(exp(x6*(0.166 + 0.111461*x9 - 0.0229274*x7)) - 1) -
134.3884*x1 - x10 =L= -111.461;
e13.. (1 - x1*x2)*x4*(exp(x6*(0.191267*x9 - 0.0202153*x7 - 0.473)) - 1) -
211.4823*x1 - x10 =L= -191.267;
e14.. 28.5132*x1 - (1 - x1*x2)*x4*(exp(x6*(0.116 + 0.0233037*x9 - 0.0052095*x7)
) - 1) - x10 =L= 23.3037;
e15.. 111.8467*x1 - (1 - x1*x2)*x4*(exp(x6*(0.101779*x9 - 0.0100677*x7 - 0.502)
) - 1) - x10 =L= 101.779;
e16.. 134.3884*x1 - (1 - x1*x2)*x4*(exp(x6*(0.166 + 0.111461*x9 - 0.0229274*x7)
) - 1) - x10 =L= 111.461;
e17.. 211.4823*x1 - (1 - x1*x2)*x4*(exp(x6*(0.191267*x9 - 0.0202153*x7 - 0.473)
) - 1) - x10 =L= 191.267;
e18.. x1*x3 - x2*x4 =E= 0;
* set non default bounds
x1.up = 10;
x2.up = 10;
x3.up = 10;
x4.up = 10;
x5.up = 10;
x6.up = 10;
x7.up = 10;
x8.up = 10;
x9.up = 10;
* set non default levels
* 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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