ex4_1_8.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.
- Soland, R, An Algorithm for Separable Nonconvex Programming Problems ii : Nonconvex Constraints. Mgnt. Sci. 17 (1971), 759.
- Original source: Global Model of Chapter 4 ex4.1.8.gms from Floudas e.a. Test Problems
Point:
p1
Best known point: p1 with value -16.7389
<![CDATA[
* NLP written by GAMS Convert at 07/19/01 13:39:36
*
* Equation counts
* Total E G L N X
* 2 2 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 3 3 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 5 3 2 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,objvar;
Positive Variables x1,x2;
Equations e1,e2;
e1.. - (sqr(x2) - 7*x2) + 12*x1 + objvar =E= 0;
e2.. - 2*POWER(x1,4) - x2 =E= -2;
* set non default bounds
x1.up = 2;
x2.up = 3;
* set non default levels
x1.l = 0.7175;
x2.l = 1.47;
* 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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