ex8_5_6.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.
- Hua, J, Brennecke, J, and Stadtherr, M, Enhanced Interval Analysis for Phase Stability: Cubic Equation of State Models. I and EC res. 37 (1998), 1519-1527.
- Original source: Global Model of Chapter 8 ex8.5.6.gms from Floudas e.a. Test Problems
Point:
p1
Best known point: p1 with value -0.0012
<![CDATA[
* NLP written by GAMS Convert at 07/19/01 13:40:15
*
* 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
* 21 9 12 0
*
* Solve m using NLP minimizing objvar;
Variables objvar,x2,x3,x4,x5,x6,x7;
Equations e1,e2,e3,e4,e5;
e1.. - (x2*log(x2) + x3*log(x3) + x4*log(x4) - log(x5 - x7) + x5 -
0.353553390593274*x6*log((x5 + 2.41421356237309*x7)/(x5 -
0.414213562373095*x7))/x7 + 1.42876598488588*x2 + 1.27098480432594*x3 +
1.62663700075562*x4) + objvar =E= -1;
e2.. POWER(x5,3) - (1 - x7)*sqr(x5) + (-3*sqr(x7) - 2*x7 + x6)*x5 - x6*x7 +
POWER(x7,3) + sqr(x7) =E= 0;
e3.. - (0.142724*x2*x2 + 0.206577*x2*x3 + 0.342119*x2*x4 + 0.206577*x3*x2 +
0.323084*x3*x3 + 0.547748*x3*x4 + 0.342119*x4*x2 + 0.547748*x4*x3 +
0.968906*x4*x4) + x6 =E= 0;
e4.. - 0.0815247*x2 - 0.0907391*x3 - 0.13705*x4 + x7 =E= 0;
e5.. x2 + x3 + x4 =E= 1;
* set non default bounds
* set non default levels
x2.l = 0.333333333333333;
x3.l = 0.333333333333333;
x4.l = 0.333333333333333;
x5.l = 2;
x6.l = 1;
x7.l = 1;
* 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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