st_e36.gms:
Reference:
- Li, H, and Chou, C, A global approach for nonlinear mixed discrete programming in design optimization. Engineering Optimization 22 (1994), 109-122.
Point:
p1
Best known point (p1): Solution value -246.00 (global optimum, BARON certificate)
$offlisting
* MINLP written by GAMS Convert at 08/29/02 11:38:03
*
* Equation counts
* Total E G L N X C
* 3 2 0 1 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 3 2 0 1 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 7 1 6 0
*
* Solve m using MINLP minimizing objvar;
Variables i1,x2,objvar;
Integer Variables i1;
Equations e1,e2,e3;
e1.. (sqr(x2) - 6*x2 + 0.8*i1 - 11)*(sqr(3.25*x2 - 0.62*i1) + sqr(0.2*i1 + x2
- 6.35))*(sqr(3.55*x2 - 0.66*i1) + sqr(0.2*i1 + x2 - 6.85))*(sqr(3.6*x2
- 0.7*i1) + sqr(0.2*i1 + x2 - 7.1))*(sqr(3.8*x2 - 0.82*i1) + sqr(0.2*i1
+ x2 - 7.9)) =E= 0;
e2.. 0.6*i1 - 0.2*x2*i1 + exp(x2 - 3) =L= 1;
e3.. - (2*sqr(x2) + 0.008*POWER(i1,3) - 3.2*x2*i1 - 2*i1) + objvar =E= 0;
* set non default bounds
i1.lo = 15; i1.up = 25;
x2.lo = 3; x2.up = 5.5;
$if set nostart $goto modeldef
* set non default levels
* set non default marginals
$label modeldef
Model m / all /;
m.limrow=0; m.limcol=0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;