ex3_1_4.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.
- Ben-Sadd, S, An Algorithm for a Class of Nonlinear Nonconvex Optimization Problems. PhD thesis, University of California, Los Angeles, 1989.
- Original source: Global Model of Chapter 3 ex3.1.4.gms from Floudas e.a. Test Problems
Point:
p1
Best known point: p1 with value -4.0000
* NLP written by GAMS Convert at 07/19/01 13:39:32
*
* Equation counts
* Total E G L N X
* 4 1 1 2 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 4 4 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 12 9 3 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,objvar;
Positive Variables x1,x2,x3;
Equations e1,e2,e3,e4;
e1.. 2*x1 - x2 + x3 + objvar =E= 0;
e2.. x1*(4*x1 - 2*x2 + 2*x3) + x2*(2*x2 - 2*x1 - x3) + x3*(2*x1 - x2 + 2*x3) -
20*x1 + 9*x2 - 13*x3 =G= -24;
e3.. x1 + x2 + x3 =L= 4;
e4.. 3*x2 + x3 =L= 6;
* set non default bounds
x1.up = 2;
x3.up = 3;
* set non default levels
x1.l = 0.5;
x3.l = 3;
* 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;