ex14_1_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.
- Reklaitis, G, and Ragsdell, K, Engineering Optimization. John Wiley and Sons, New York, NY, 1983.
- Original source: Global Model of Chapter 14 ex14.1.1.gms from Floudas e.a. Test Problems
Point:
p1
Best known point: p1 with value 0.0000
<![CDATA[
* NLP written by GAMS Convert at 07/19/01 13:40:23
*
* Equation counts
* Total E G L N X
* 5 1 0 4 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 4 4 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 14 6 8 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,objvar;
Equations e1,e2,e3,e4,e5;
e1.. - x3 + objvar =E= 0;
e2.. 2*sqr(x2) + 4*x1*x2 - 42*x1 + 4*POWER(x1,3) - x3 =L= 14;
e3.. (-2*sqr(x2)) - 4*x1*x2 + 42*x1 - 4*POWER(x1,3) - x3 =L= -14;
e4.. 2*sqr(x1) + 4*x1*x2 - 26*x2 + 4*POWER(x2,3) - x3 =L= 22;
e5.. (-2*sqr(x1)) - 4*x1*x2 + 26*x2 - 4*POWER(x2,3) - x3 =L= -22;
* set non default bounds
x1.lo = -5; x1.up = 5;
x2.lo = -5; x2.up = 5;
* 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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