mincostflow.gms
* LP written by GAMS Convert at 01/17/08 23:45:25
*
* Equation counts
* Total E G L N X C
* 15 14 1 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 25 25 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 57 57 0 0
*
* Solve m using LP minimizing objvar;
*
Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
,x20,x21,x22,x23,x24,objvar;
Positive Variables x1,x2,x3,x4,x5,x6,x7,x9,x10,x12,x13,x16,x17,x18,x19,x20
,x21,x22,x23,x24;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15;
e1.. - x1 + x5 + x6 =E= 0;
e2.. - x2 + x7 + x8 =E= 0;
e3.. - x3 + x9 + x10 + x11 =E= 0;
e4.. - x4 + x12 + x13 + x14 + x15 =E= 0;
e5.. - x5 - x7 + x16 =E= 0;
e6.. - x6 - x9 - x12 + x17 =E= 0;
e7.. - x10 - x13 + x18 =E= 0;
e8.. - x8 + x19 =E= 0;
e9.. - x14 + x20 =E= 0;
e10.. - x11 - x15 + x21 =E= 0;
e11.. - x16 - x19 + x22 =E= 0;
e12.. - x17 - x20 + x23 =E= 0;
e13.. - x18 - x21 + x24 =E= 0;
e14.. x1 + x2 + x3 + x4 =G= 180;
e15.. - 12*x5 - 11*x6 - 14*x7 - 12*x8 - 9*x9 - 5*x10 - 4*x11 - 14*x12 - 14*x13
- 11*x14 - 10*x15 + objvar =E= 0;
* set non default bounds
x1.up = 50;
x2.up = 40;
x3.up = 35;
x4.up = 65;
x8.lo = 10; x8.up = 50;
x11.lo = 10; x11.up = 50;
x14.lo = 10; x14.up = 50;
x15.lo = 10; x15.up = 50;
* set non default levels
x8.l = 10;
x11.l = 10;
x14.l = 10;
x15.l = 10;
* set non default marginals
Model m / all /;
m.limrow=0; m.limcol=0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
Solve m using LP minimizing objvar;