ex6_1_2.gms:
References:
- Floudas, C A, Pardalos, P M, Adjiman, C S, Esposito, W R, Gumus, Z H, Harding, S T, Klepeis, J L, Meyer, C A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, 1999.
- McDonald, C M, and Floudas, C A, Global Optimization for the Phase Stability Problem. AIChE J. 41 (1995), 1798.
- Original source: Global Model of Chapter 6 ex6.1.2.gms from Floudas e.a. Test Problems
Point:
p1
Best known point: p1 with value -0.0325
<![CDATA[
* NLP written by GAMS Convert at 07/19/01 13:39:41
*
* Equation counts
* Total E G L N X
* 4 4 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 5 5 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 13 3 10 0
*
* Solve m using NLP minimizing objvar;
Variables objvar,x2,x3,x4,x5;
Positive Variables x4,x5;
Equations e1,e2,e3,e4;
e1.. - (x2*(0.06391 + log(x2)) + x3*(log(x3) - 0.02875) + 0.925356626778358*x2
*x5 + 0.746014540096753*x3*x4) + objvar =E= 0;
e2.. x4*(x2 + 0.159040857374844*x3) - x2 =E= 0;
e3.. x5*(0.307941026821595*x2 + x3) - x3 =E= 0;
e4.. x2 + x3 =E= 1;
* set non default bounds
x2.lo = 1E-6; x2.up = 1;
x3.lo = 1E-6; x3.up = 1;
* set non default levels
x2.l = 0.00421;
x3.l = 0.99579;
x4.l = 0.0258947377097763;
x5.l = 0.998699779997328;
* set non default marginals
Model m / all /;
m.limrow=0; m.limcol=0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
Solve m using NLP minimizing objvar;
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