ex9_1_2m.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.
- Liu, Y H, and Hart, S M, Characterizing an Optimal Solution to the Linear Bilevel Programming Problem. European Journal of Operational Research 79 (1994), 164-166.
- Original source: Global Model of Chapter 9 ex9.1.2.gms from Floudas e.a. Test Problems
Point:
* MPEC written by GAMS Convert at 11/06/01 17:02:04
*
* Equation counts
* Total E G L N X
* 6 2 4 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 7 7 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 14 14 0 0
*
* Solve m using MPEC minimizing objvar;
Variables x1,objvar,x3,x4,x5,x6,x7;
Positive Variables x3,x4,x5,x6,x7;
Equations e1,e2,e3,e4,e5,e6;
e1.. - 3*x1 - objvar - x3 =E= 0;
e2.. - x1 + x3 =G= -3;
e3.. - 2*x1 - x3 =G= -12;
e4.. x1 - 4*x3 =G= -12;
e5.. x1 =G= 0;
e6.. x4 + 2*x5 - x6 - x7 =E= -1;
* set non default bounds
* set non default levels
* set non default marginals
Model m / e1,e2.x4,e3.x5,e4.x6,e5.x7,e6.x1 /;
m.limrow=0; m.limcol=0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
Solve m using MPEC minimizing objvar;