alan.gms:
References:
- GAMS Development, GAMS Model Library.
- Manne, A S, GAMS/MINOS: Three examples. Tech. rep., Department of Operations Research, Stanford University, 1986.
- Original source: GAMS model alan.gms from Gams Model Library
Point:
p1
Best known point (p1): Solution value 2.93 (global optimum, BARON certificate)
$offlisting
* MINLP written by GAMS Convert at 04/18/01 12:05:57
*
* Equation counts
* Total E G L N X
* 8 3 0 5 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 9 5 4 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 24 21 3 0
*
* Solve m using MINLP minimizing objvar;
Variables x1,x2,x3,x4,objvar,b6,b7,b8,b9;
Positive Variables x1,x2,x3,x4;
Binary Variables b6,b7,b8,b9;
Equations e1,e2,e3,e4,e5,e6,e7,e8;
e1.. x1 + x2 + x3 + x4 =E= 1;
e2.. 8*x1 + 9*x2 + 12*x3 + 7*x4 =E= 10;
e3.. x1*(4*x1 + 3*x2 - x3) + x2*(3*x1 + 6*x2 + x3) + x3*(x2 - x1 + 10*x3)
- objvar =E= 0;
e4.. x1 - b6 =L= 0;
e5.. x2 - b7 =L= 0;
e6.. x3 - b8 =L= 0;
e7.. x4 - b9 =L= 0;
e8.. b6 + b7 + b8 + b9 =L= 3;
* set non default bounds
$if set nostart $goto modeldef
* set non default levels
x1.l = 0.302884615384618;
x2.l = 0.0865384615384593;
x3.l = 0.504807692307693;
x4.l = 0.10576923076923;
objvar.l = 2.89903846153846;
* set non default marginals
e1.m = 1;
e2.m = 1;
e3.m = 1;
x1.m = 1;
x2.m = 1;
$label modeldef
Model m / all /;
m.limrow=1; m.limcol=0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;