ex3_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.
- Colville, A R, A Comparative Study of Nonlinear Programming Codes. In Kuhn, H W, Ed, Princeton Symposium on Mathematical Programming. Princeton Univ. Press, 1970.
- Original source: Global Model of Chapter 3 ex3.1.2.gms from Floudas e.a. Test Problems
Point:
p1
Best known point: p1 with value -30665.5387
<![CDATA[
* NLP written by GAMS Convert at 07/19/01 13:39:32
*
* Equation counts
* Total E G L N X
* 7 1 0 6 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 6 6 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 30 1 29 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,x4,x5,objvar;
Equations e1,e2,e3,e4,e5,e6,e7;
e1.. - (0.8356891*x1*x5 + 37.293239*x1 + 5.3578547*x3*x3) + objvar
=E= -40792.141;
e2.. 0.0056858*x2*x5 - 0.0022053*x3*x5 + 0.0006262*x1*x4 =L= 6.665593;
e3.. 0.0022053*x3*x5 - 0.0056858*x2*x5 - 0.0006262*x1*x4 =L= 85.334407;
e4.. 0.0071317*x2*x5 + 0.0021813*x3*x3 + 0.0029955*x1*x2 =L= 29.48751;
e5.. (-0.0071317*x2*x5) - 0.0021813*x3*x3 - 0.0029955*x1*x2 =L= -9.48751;
e6.. 0.0047026*x3*x5 + 0.0019085*x3*x4 + 0.0012547*x1*x3 =L= 15.599039;
e7.. (-0.0047026*x3*x5) - 0.0019085*x3*x4 - 0.0012547*x1*x3 =L= -10.699039;
* set non default bounds
x1.lo = 78; x1.up = 102;
x2.lo = 33; x2.up = 45;
x3.lo = 27; x3.up = 45;
x4.lo = 27; x4.up = 45;
x5.lo = 27; x5.up = 45;
* set non default levels
x3.l = 29.9953;
x4.l = 45;
x5.l = 36.7758;
* 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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