himmel11.gms:
Reference:
- Himmelblau, D M, Problem Number 11. In Applied Nonlinear Programming. Mc Graw Hill, New York, 1972.
- Original source: GAMS Model of himmel11.gms from GAMS Model Library
Point:
p1
Best known point: p1 with value -30665.5387
<![CDATA[
* NLP written by GAMS Convert at 07/30/01 09:59:39
*
* Equation counts
* Total E G L N X
* 5 4 1 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 10 10 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 27 11 16 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,objvar;
Positive Variables x1,x4;
Equations e1,e2,e3,e4,e5;
e1.. 5*x4 - x5 + 7*x7 - x9 =G= 0;
e2.. - (0.0056858*x6*x9 + 0.0006262*x5*x8 - 0.0022053*x7*x9) + x1 + 2*x4
=E= 85.334407;
e3.. - (0.0071317*x6*x9 + 0.0029955*x5*x6 + 0.0021813*sqr(x7)) + x2
=E= 80.51249;
e4.. - (0.0047026*x7*x9 + 0.0012547*x5*x7 + 0.0019085*x7*x8) + x3 + 4*x4
=E= 9.300961;
e5.. - (5.3578547*sqr(x7) + 0.8356891*x5*x9 + 37.293239*x5) - 5000*x4 + objvar
=E= -40792.141;
* set non default bounds
x1.up = 92;
x2.lo = 90; x2.up = 110;
x3.lo = 20; x3.up = 25;
x5.lo = 78; x5.up = 102;
x6.lo = 33; x6.up = 45;
x7.lo = 27; x7.up = 45;
x8.lo = 27; x8.up = 45;
x9.lo = 27; x9.up = 45;
* set non default levels
x5.l = 78.62;
x6.l = 33.44;
x7.l = 31.07;
x8.l = 44.18;
x9.l = 35.22;
* 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;
]]></plaintext></body></div>