ex6_2_14.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 and Analysis for the Gibbs Free Energy Function Using the UNIFAC, Wilson and ASOG Equations. I and EC Res. 34 (1995), 1674.
- Original source: Global Model of Chapter 6 ex6.2.14.gms from Floudas e.a. Test Problems
Point:
p1
Best known point: p1 with value -0.6954
<![CDATA[
* NLP written by GAMS Convert at 07/19/01 13:39:45
*
* Equation counts
* Total E G L N X
* 3 3 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
* 9 5 4 0
*
* Solve m using NLP minimizing objvar;
Variables objvar,x2,x3,x4,x5;
Equations e1,e2,e3;
e1.. - (x2*(log(x2/(x2 + x4)) + log(x2/(x2 + 0.095173*x4))) + x4*(log(x4/(x2
+ x4)) + log(x4/(0.30384*x2 + x4))) + (x2 + 2.6738*x4)*log(x2 + 2.6738*x4
) + (0.374*x2 + x4)*log(0.374*x2 + x4) + 2.6738*x4*log(x4/(x2 + 2.6738*x4)
) + 0.374*x2*log(x2/(0.374*x2 + x4)) + x3*(log(x3/(x3 + x5)) + log(x3/(x3
+ 0.095173*x5))) + x5*(log(x5/(x3 + x5)) + log(x5/(0.30384*x3 + x5))) + (
x3 + 2.6738*x5)*log(x3 + 2.6738*x5) + (0.374*x3 + x5)*log(0.374*x3 + x5)
+ 2.6738*x5*log(x5/(x3 + 2.6738*x5)) + 0.374*x3*log(x3/(0.374*x3 + x5))
- 3.6838*x2*log(x2) - 1.59549*x4*log(x4) - 3.6838*x3*log(x3) - 1.59549*x5
*log(x5)) + objvar =E= 0;
e2.. x2 + x3 =E= 0.5;
e3.. x4 + x5 =E= 0.5;
* set non default bounds
x2.lo = 1E-7; x2.up = 0.5;
x3.lo = 1E-7; x3.up = 0.5;
x4.lo = 1E-7; x4.up = 0.5;
x5.lo = 1E-7; x5.up = 0.5;
* set non default levels
x2.l = 0.0583;
x3.l = 0.4417;
x4.l = 0.408;
x5.l = 0.092;
* 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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