sambal.gms:
Reference:
- Zenios, S A, Drud, A S, and Mulvey, J, Balancing some large Social Accounting Matrices with Nonlinear Programming. Tech. rep., Department of Civil Engineering, Princeton University, 1986.
- Original source: GAMS Model of sambal.gms from GAMS Model Library
Point:
p1
Best known point: p1 with value 3.9682
* NLP written by GAMS Convert at 07/26/01 12:08:41
*
* Equation counts
* Total E G L N X
* 11 11 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 18 18 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 48 35 13 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,objvar;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11;
e1.. - x1 - x2 - x3 - x4 + x13 =E= 0;
e2.. - x5 + x14 =E= 0;
e3.. - x6 + x15 =E= 0;
e4.. - x7 - x8 - x9 + x16 =E= 0;
e5.. - x10 - x11 - x12 + x17 =E= 0;
e6.. - x5 - x6 + x13 =E= 0;
e7.. - x1 - x7 - x10 + x14 =E= 0;
e8.. - x2 - x8 - x11 + x15 =E= 0;
e9.. - x3 - x12 + x16 =E= 0;
e10.. - x4 - x9 + x17 =E= 0;
e11.. - (0.0666666666666667*sqr(15 - x1) + 0.333333333333333*sqr(3 - x2) +
0.00769230769230769*sqr(130 - x3) + 0.0125*sqr(80 - x4) +
0.0666666666666667*sqr(15 - x7) + 0.00769230769230769*sqr(130 - x8) +
0.05*sqr(20 - x9) + 0.04*sqr(25 - x10) + 0.025*sqr(40 - x11) +
0.0181818181818182*sqr(55 - x12) + 0.00454545454545455*sqr(220 - x13) +
0.00526315789473684*sqr(190 - x16) + 0.00952380952380952*sqr(105 - x17))
+ objvar =E= 0;
* set non default bounds
* set non default levels
x1.l = 15;
x2.l = 3;
x3.l = 130;
x4.l = 80;
x7.l = 15;
x8.l = 130;
x9.l = 20;
x10.l = 25;
x11.l = 40;
x12.l = 55;
x13.l = 220;
x16.l = 190;
x17.l = 105;
* 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;