ex7_3_1.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.
- de Gaston, R, and Safonov, M, Exact Calculation of the Multi-Loop Stability Margin. IEEE Trans. Automat. Contr. 33 (1988), 68.
- Original source: Global Model of Chapter 7 ex7.3.1.gms from Floudas e.a. Test Problems
Point:
p1
Best known point: p1 with value 0.3417
<![CDATA[
* NLP written by GAMS Convert at 07/19/01 13:39:49
*
* Equation counts
* Total E G L N X
* 8 1 0 7 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 5 5 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 17 14 3 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,x4,objvar;
Positive Variables x1,x2,x3,x4;
Equations e1,e2,e3,e4,e5,e6,e7,e8;
e1.. - x4 + objvar =E= 0;
e2.. 10*sqr(x2)*POWER(x3,3) + 10*POWER(x2,3)*sqr(x3) + 200*sqr(x2)*sqr(x3) +
100*POWER(x2,3)*x3 + 100*x2*POWER(x3,3) + x1*x2*sqr(x3) + x1*sqr(x2)*x3 +
1000*x2*sqr(x3) + 8*x1*sqr(x3) + 1000*sqr(x2)*x3 + 8*x1*sqr(x2) + 6*x1*x2*
x3 - sqr(x1) + 60*x1*x3 + 60*x1*x2 - 200*x1 =L= 0;
e3.. - x1 - 800*x4 =L= -800;
e4.. x1 - 800*x4 =L= 800;
e5.. - x2 - 2*x4 =L= -4;
e6.. x2 - 2*x4 =L= 4;
e7.. - x3 - 3*x4 =L= -6;
e8.. x3 - 3*x4 =L= 6;
* set non default bounds
* 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;
]]></plaintext></body></div>