ex6_1_4.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 and Chemical Equilibrium Problem: Application to the NRTL Equation. Comput. Chem. Eng. 19 (1995), 1.
- Original source: Global Model of Chapter 6 ex6.1.4.gms from Floudas e.a. Test Problems
Point:
p1
Best known point: p1 with value -0.2945
<![CDATA[
* NLP written by GAMS Convert at 07/19/01 13:39:42
*
* Equation counts
* Total E G L N X
* 5 5 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 7 7 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 22 4 18 0
*
* Solve m using NLP minimizing objvar;
Variables objvar,x2,x3,x4,x5,x6,x7;
Positive Variables x5,x6,x7;
Equations e1,e2,e3,e4,e5;
e1.. - (x2*(0.28809 + log(x2)) + x3*(log(x3) - 0.29158) + x4*(0.59336 + log(x4
)) + x2*(1.44805026165593*x6 + 0.989428667054834*x7) + x3*(
1.12676386427658*x5 + 1.00363012835441*x7) + x4*(0.0347225450624344*x5 +
0.82681418300153*x6)) + objvar =E= 0;
e2.. x5*(x2 + 0.145002897355373*x3 + 0.989528214945409*x4) - x2 =E= 0;
e3.. x6*(0.293701311601799*x2 + x3 + 0.646291923054068*x4) - x3 =E= 0;
e4.. x7*(0.619143628558899*x2 + 0.239837817616513*x3 + x4) - x4 =E= 0;
e5.. x2 + x3 + x4 =E= 1;
* set non default bounds
x2.lo = 1E-6; x2.up = 1;
x3.lo = 1E-6; x3.up = 1;
x4.lo = 1E-6; x4.up = 1;
* set non default levels
x2.l = 7E-5;
x3.l = 0.99686;
x4.l = 0.00307;
x5.l = 0.000474076675116379;
x6.l = 0.997993046160137;
x7.l = 0.0126755759820888;
* 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;
]]></plaintext></body></div>