ex14_2_8.gms:
Reference:
- 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.
- Original source: Global Model of Chapter 14 ex14.2.8.gms from Floudas e.a. Test Problems
Point:
p1
Best known point: p1 with value 0.0000
<![CDATA[
* NLP written by GAMS Convert at 07/19/01 13:40:30
*
* Equation counts
* Total E G L N X
* 6 2 0 4 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
* 20 8 12 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,objvar,x5;
Positive Variables x5;
Equations e1,e2,e3,e4,e5,e6;
e1.. objvar - x5 =E= 0;
e2.. 10.68*log(2.5735*x1 + 4.0464*x2) - 9.344*log(2.336*x1 + 3.24*x2) - (
2.5364416*x2 - 0.993370999999997*x1)/(2.5735*x1 + 4.0464*x2) - (1.696*log(
1.69610217540928*x1 + 3.24*x2) + 0.64*log(0.657731453039811*x1 +
0.0338737664203932*x2)) - (2.87658928949414*x1/(1.69610217540928*x1 + 3.24
*x2) + 5.49537104832607*x2/(1.69610217540928*x1 + 3.24*x2) +
0.420948129945479*x1/(0.657731453039811*x1 + 0.0338737664203932*x2)) -
2787.49800065313/(229.664 + x3) - x5 =L= -10.164795069335;
e3.. 15.2*log(2.5735*x1 + 4.0464*x2) - 12.96*log(2.336*x1 + 3.24*x2) - (
3.98813184*x2 - 1.5619104*x1)/(2.5735*x1 + 4.0464*x2) - 3.24*log(
1.69610217540928*x1 + 3.24*x2) - (5.49504*x1/(1.69610217540928*x1 + 3.24*
x2) + 10.4976*x2/(1.69610217540928*x1 + 3.24*x2) + 0.0216792105090516*x1/(
0.657731453039811*x1 + 0.0338737664203932*x2)) - 2766.63/(222.65 + x3)
- x5 =L= -11.1422900361581;
e4.. 9.344*log(2.336*x1 + 3.24*x2) - 10.68*log(2.5735*x1 + 4.0464*x2) + (
2.5364416*x2 - 0.993370999999997*x1)/(2.5735*x1 + 4.0464*x2) + 1.696*log(
1.69610217540928*x1 + 3.24*x2) + 0.64*log(0.657731453039811*x1 +
0.0338737664203932*x2) + 2.87658928949414*x1/(1.69610217540928*x1 + 3.24*
x2) + 5.49537104832607*x2/(1.69610217540928*x1 + 3.24*x2) +
0.420948129945479*x1/(0.657731453039811*x1 + 0.0338737664203932*x2) +
2787.49800065313/(229.664 + x3) - x5 =L= 10.164795069335;
e5.. 12.96*log(2.336*x1 + 3.24*x2) - 15.2*log(2.5735*x1 + 4.0464*x2) + (
3.98813184*x2 - 1.5619104*x1)/(2.5735*x1 + 4.0464*x2) + 3.24*log(
1.69610217540928*x1 + 3.24*x2) + 5.49504*x1/(1.69610217540928*x1 + 3.24*x2
) + 10.4976*x2/(1.69610217540928*x1 + 3.24*x2) + 0.0216792105090516*x1/(
0.657731453039811*x1 + 0.0338737664203932*x2) + 2766.63/(222.65 + x3) - x5
=L= 11.1422900361581;
e6.. x1 + x2 =E= 1;
* set non default bounds
x1.lo = 1E-6; x1.up = 1;
x2.lo = 1E-6; x2.up = 1;
x3.lo = 40; x3.up = 90;
* set non default levels
x1.l = 0.878;
x2.l = 0.122;
x3.l = 55.726;
* 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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