ex2_1_3.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 2 ex2.1.3.gms from Floudas e.a. Test Problems
Point:
p1
Best known point: p1 with value -15.0000
<![CDATA[
* NLP written by GAMS Convert at 07/19/01 13:39:28
*
* Equation counts
* Total E G L N X
* 10 1 0 9 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 14 14 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 41 37 4 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,objvar;
Positive Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10;
e1.. - (5*x1 - 0.5*(10*x1*x1 + 10*x2*x2 + 10*x3*x3 + 10*x4*x4) + 5*x2 + 5*x3
+ 5*x4) + x5 + x6 + x7 + x8 + x9 + x10 + x11 + x12 + x13 + objvar =E= 0;
e2.. 2*x1 + 2*x2 + x10 + x11 =L= 10;
e3.. 2*x1 + 2*x3 + x10 + x12 =L= 10;
e4.. 2*x2 + 2*x3 + x11 + x12 =L= 10;
e5.. - 8*x1 + x10 =L= 0;
e6.. - 8*x2 + x11 =L= 0;
e7.. - 8*x3 + x12 =L= 0;
e8.. - 2*x4 - x5 + x10 =L= 0;
e9.. - 2*x6 - x7 + x11 =L= 0;
e10.. - 2*x8 - x9 + x12 =L= 0;
* set non default bounds
x1.up = 1;
x2.up = 1;
x3.up = 1;
x4.up = 1;
x5.up = 1;
x6.up = 1;
x7.up = 1;
x8.up = 1;
x9.up = 1;
x13.up = 1;
* set non default levels
x1.l = 1;
x2.l = 1;
x3.l = 1;
x4.l = 1;
x5.l = 1;
x6.l = 1;
x7.l = 1;
x8.l = 1;
x9.l = 1;
x10.l = 3;
x11.l = 3;
x12.l = 3;
x13.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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