prob10.gms:
Reference:
- Westerlund, T, and Lundqvist K., Alpha-ECP, Version 5.01 An Interactive MINLP-Solver Based on the Extended Cutting Plane Method, Report 01-178-A. Tech. rep., Process Design Laboratory at Abo University, 2001.
Point:
p1
Best known point (p1): Solution value 3.45 (global optimum, LINDOGLOBAL certificate)
$offlisting
* MINLP written by GAMS Convert at 07/02/03 17:54:36
*
* Equation counts
* Total E G L N X C
* 3 1 0 2 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 5 2 0
*
* Solve m using MINLP minimizing objvar;
Variables objvar,x2,i3;
Positive Variables x2;
Integer Variables i3;
Equations e1,e2,e3;
e1.. 0.7*x2 + i3 =L= 7;
e2.. 2.5*x2 + i3 =L= 19;
e3.. 1.1*(sqr(2*x2 - 10) + sqr(i3 - 5)) + sin(sqr(2*x2 - 10) + sqr(i3 - 5))
- objvar =E= 0;
* set non default bounds
objvar.lo = -1000; objvar.up = 10;
x2.up = 10;
i3.up = 10;
$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;