ex4_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.
- Dixon, L, On Finding the Global Minimum of a Function of One Variable. In SIAM, Ed, SIAM National Meeting. Chicago, 1990.
- Original source: Global Model of Chapter 4 ex4.1.7.gms from Floudas e.a. Test Problems
Point:
p1
Best known point: p1 with value -7.5000
<![CDATA[
* NLP written by GAMS Convert at 07/19/01 13:39:35
*
* Equation counts
* Total E G L N X
* 1 1 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 2 2 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 2 1 1 0
*
* Solve m using NLP minimizing objvar;
Variables x1,objvar;
Equations e1;
e1.. - (POWER(x1,4) - 3*POWER(x1,3) - 1.5*sqr(x1) + 10*x1) + objvar =E= 0;
* set non default bounds
x1.lo = -5; x1.up = 5;
* set non default levels
x1.l = -1;
* 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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