gkocis.gms:
References:
- Floudas, C A, and Schweiger, C A, MINOPT Model Library.
- Kocis, G R, and Grossmann, I E, Relaxation Strategy for the Structural Optimization of Process Flow Sheets. Industrial and Engineering Chemical Research 26, 9 (1987), 1869-1880.
- Original source: MINOPT model kocis87-2.dat from MINOPT Model Library
Point:
p1
Best known point (p1): Solution value -1.92 (global optimum, BARON certificate)
$offlisting
* MINLP written by GAMS Convert at 04/17/01 16:38:55
*
* Equation counts
* Total E G L N X
* 9 6 0 3 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 12 9 3 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 28 26 2 0
*
* Solve m using MINLP minimizing objvar;
Variables x1,x2,x3,x4,x5,x6,x7,x8,b9,b10,b11,objvar;
Positive Variables x1,x2,x3,x4,x5,x6,x7,x8;
Binary Variables b9,b10,b11;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9;
e1.. - 1.8*x1 - 7*x5 - x6 - 1.2*x7 + 11*x8 - 3.5*b9 - b10 - 1.5*b11 + objvar
=E= 0;
e2.. - log(1 + x2) + x6 =E= 0;
e3.. - 1.2*log(1 + x3) + x7 =E= 0;
e4.. - 0.9*x4 + x8 =E= 0;
e5.. - x4 + x5 + x6 + x7 =E= 0;
e6.. x1 - x2 - x3 =E= 0;
e7.. x4 - 5*b9 =L= 0;
e8.. x2 - 5*b10 =L= 0;
e9.. x3 - 5*b11 =L= 0;
* set non default bounds
x6.up = 5;
x8.up = 1;
$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;