himmel16.gms:
Reference:
- Himmelblau, D M, Problem Number 16. In Applied Nonlinear Programming. Mc Graw Hill, New York, 1972.
- Original source: GAMS Model of himmel16.gms from GAMS Model Library
Point:
p1
Best known point: p1 with value 0.8660
<![CDATA[
* NLP written by GAMS Convert at 07/30/01 17:04:27
*
* Equation counts
* Total E G L N X
* 22 7 0 15 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 19 19 0 0 0 0 0 0
* FX 3 3 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 97 13 84 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18
,objvar;
Positive Variables x1,x7,x8;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
,e20,e21,e22;
e1.. sqr(x1 - x2) + sqr(x7 - x8) =L= 1;
e2.. sqr(x1 - x3) + sqr(x7 - x9) =L= 1;
e3.. sqr(x1 - x4) + sqr(x7 - x10) =L= 1;
e4.. sqr(x1 - x5) + sqr(x7 - x11) =L= 1;
e5.. sqr(x1 - x6) + sqr(x7 - x12) =L= 1;
e6.. sqr(x2 - x3) + sqr(x8 - x9) =L= 1;
e7.. sqr(x2 - x4) + sqr(x8 - x10) =L= 1;
e8.. sqr(x2 - x5) + sqr(x8 - x11) =L= 1;
e9.. sqr(x2 - x6) + sqr(x8 - x12) =L= 1;
e10.. sqr(x3 - x4) + sqr(x9 - x10) =L= 1;
e11.. sqr(x3 - x5) + sqr(x9 - x11) =L= 1;
e12.. sqr(x3 - x6) + sqr(x9 - x12) =L= 1;
e13.. sqr(x4 - x5) + sqr(x10 - x11) =L= 1;
e14.. sqr(x4 - x6) + sqr(x10 - x12) =L= 1;
e15.. sqr(x5 - x6) + sqr(x11 - x12) =L= 1;
e16.. - x13 - x14 - x15 - x16 - x17 - x18 - objvar =E= 0;
e17.. - 0.5*(x1*x8 - x7*x2) + x13 =E= 0;
e18.. - 0.5*(x2*x9 - x8*x3) + x14 =E= 0;
e19.. - 0.5*(x3*x10 - x9*x4) + x15 =E= 0;
e20.. - 0.5*(x4*x11 - x10*x5) + x16 =E= 0;
e21.. - 0.5*(x5*x12 - x11*x6) + x17 =E= 0;
e22.. - 0.5*(x6*x7 - x12*x1) + x18 =E= 0;
* set non default bounds
x1.fx = 0;
x7.fx = 0;
x8.fx = 0;
* set non default levels
x2.l = 0.5;
x3.l = 0.5;
x4.l = 0.5;
x9.l = 0.4;
x10.l = 0.8;
x11.l = 0.8;
x12.l = 0.4;
* 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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