ex7_3_5.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.
- Ackermann, J, Kaesbauer, D, and Muench, R, Robust Gamma-Stability Analysis in a Plant Parameter Space. Automatica 27 (1991), 75.
- Original source: Global Model of Chapter 7 ex7.3.5.gms from Floudas e.a. Test Problems
Point:
p1
Best known point: p1 with value 1.2069
<![CDATA[
* NLP written by GAMS Convert at 07/19/01 13:39:51
*
* Equation counts
* Total E G L N X
* 16 12 0 4 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 14 14 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 46 21 25 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,objvar;
Positive Variables x3;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16;
e1.. - x4 + objvar =E= 0;
e2.. x13*POWER(x3,8) - x11*POWER(x3,6) + x9*POWER(x3,4) - x7*sqr(x3) + x5
=E= 0;
e3.. x12*POWER(x3,6) - x10*POWER(x3,4) + x8*sqr(x3) - x6 =E= 0;
e4.. - x1 - 0.145*x4 =L= -0.175;
e5.. x1 - 0.145*x4 =L= 0.175;
e6.. - x2 - 0.15*x4 =L= -0.2;
e7.. x2 - 0.15*x4 =L= 0.2;
e8.. - 4.53*sqr(x1) + x5 =E= 0;
e9.. - (5.28*sqr(x1) + 0.364*x1) + x6 =E= 0;
e10.. - (5.72*sqr(x1)*x2 + 1.13*sqr(x1) + 0.425*x1) + x7 =E= 0;
e11.. - (6.93*sqr(x1)*x2 + 0.0911*x1) + x8 =E= 0.00422;
e12.. - (1.45*sqr(x1)*x2 + 0.168*x1*x2) + x9 =E= 0.000338;
e13.. - (1.56*sqr(x1)*sqr(x2) + 0.00084*sqr(x1)*x2 + 0.0135*x1*x2) + x10
=E= 1.35E-5;
e14.. - (0.125*sqr(x1)*sqr(x2) + 1.68e-5*sqr(x1)*x2 + 0.000539*x1*x2) + x11
=E= 2.7E-7;
e15.. - (0.005*sqr(x1)*sqr(x2) + 1.08e-5*x1*x2) + x12 =E= 0;
e16.. - 0.0001*sqr(x1)*sqr(x2) + x13 =E= 0;
* set non default bounds
x3.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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