ex9_2_5.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.
- Clark, P A, and Westerberg, A W, Bilevel Programming for Steady-State Chemical Process Design-i. Fundamentals and Algorithms. Comput. Chem. Eng. 14 (1990), 87.
- Original source: Global Model of Chapter 9 ex9.2.5.gms from Floudas e.a. Test Problems
Point:
p1
Best known point: p1 with value 5.0000
<![CDATA[
* NLP written by GAMS Convert at 07/19/01 13:40:21
*
* Equation counts
* Total E G L N X
* 8 8 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 9 9 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 22 14 8 0
*
* Solve m using NLP minimizing objvar;
Variables x1,objvar,x3,x4,x5,x6,x7,x8,x9;
Positive Variables x3,x4,x5,x6,x7,x8,x9;
Equations e1,e2,e3,e4,e5,e6,e7,e8;
e1.. (x3 - 3)*(x3 - 3) + (x1 - 2)*(x1 - 2) - objvar =E= 0;
e2.. x1 - 2*x3 + x4 =E= 1;
e3.. - 2*x1 + x3 + x5 =E= 2;
e4.. 2*x1 + x3 + x6 =E= 14;
e5.. x4*x7 =E= 0;
e6.. x5*x8 =E= 0;
e7.. x6*x9 =E= 0;
e8.. 2*x1 + x7 - 2*x8 + 2*x9 =E= 10;
* set non default bounds
x3.up = 8;
* set non default levels
* 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>