st_e38.gms:
Reference:
- Sandgren, E, Nonlinear Integer and Discrete Programming in Mechanical Design Optimization. Journal of Mechanical Design, Trans. ASME 112 (1990), 223-229.
Point:
p1
Best known point (p1): Solution value 7197.73 (global optimum, BARON certificate)
<![CDATA[
$offlisting
* MINLP written by GAMS Convert at 08/29/02 11:38:03
*
* Equation counts
* Total E G L N X C
* 4 1 1 2 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 5 3 0 2 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 11 5 6 0
*
* Solve m using MINLP minimizing objvar;
Variables i1,i2,x3,x4,objvar;
Integer Variables i1,i2;
Equations e1,e2,e3,e4;
e1.. - 0.0625*i1 + 0.0193*x3 =L= 0;
e2.. - 0.0625*i2 + 0.00954*x3 =L= 0;
e3.. 3.1415927*(sqr(x3)*x4 + 1.33333333333333*POWER(x3,3)) =G= 1296000;
e4.. - (0.0389*i1*x3*x4 + 0.1111312*i2*sqr(x3) + 0.012348046875*sqr(i1)*x4 +
0.0775*sqr(i1)*x3) + objvar =E= 0;
* set non default bounds
i1.lo = 18; i1.up = 100;
i2.lo = 10; i2.up = 100;
x3.lo = 40; x3.up = 80;
x4.lo = 20; x4.up = 60;
$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;
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