flowshop.gms
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* MIP written by GAMS Convert at 01/17/08 23:45:23
*
* Equation counts
* Total E G L N X C
* 41 41 0 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 82 46 36 0 0 0 0 0
* FX 6 6 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 589 589 0 0
*
* Solve m using MIP minimizing objvar;
*
Variables b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18,b19
,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35,b36
,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53
,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,objvar;
Positive Variables x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50
,x51,x52,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67
,x68,x69,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81;
Binary Variables b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17
,b18,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34
,b35,b36;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
,e37,e38,e39,e40,e41;
e1.. b1 + b7 + b13 + b19 + b25 + b31 =E= 1;
e2.. b2 + b8 + b14 + b20 + b26 + b32 =E= 1;
e3.. b3 + b9 + b15 + b21 + b27 + b33 =E= 1;
e4.. b4 + b10 + b16 + b22 + b28 + b34 =E= 1;
e5.. b5 + b11 + b17 + b23 + b29 + b35 =E= 1;
e6.. b6 + b12 + b18 + b24 + b30 + b36 =E= 1;
e7.. b1 + b2 + b3 + b4 + b5 + b6 =E= 1;
e8.. b7 + b8 + b9 + b10 + b11 + b12 =E= 1;
e9.. b13 + b14 + b15 + b16 + b17 + b18 =E= 1;
e10.. b19 + b20 + b21 + b22 + b23 + b24 =E= 1;
e11.. b25 + b26 + b27 + b28 + b29 + b30 =E= 1;
e12.. b31 + b32 + b33 + b34 + b35 + b36 =E= 1;
e13.. - 5*b1 + 3*b2 - 4*b7 + 6*b8 - 2*b13 + 3*b14 - 4*b19 + 5*b20 - 4*b25
+ 5*b26 - 5*b31 + 7*b32 + x37 - x42 - x52 + x53 =E= 0;
e14.. - 5*b2 + 3*b3 - 4*b8 + 6*b9 - 2*b14 + 3*b15 - 4*b20 + 5*b21 - 4*b26
+ 5*b27 - 5*b32 + 7*b33 + x38 - x43 - x53 + x54 =E= 0;
e15.. - 5*b3 + 3*b4 - 4*b9 + 6*b10 - 2*b15 + 3*b16 - 4*b21 + 5*b22 - 4*b27
+ 5*b28 - 5*b33 + 7*b34 + x39 - x44 - x54 + x55 =E= 0;
e16.. - 5*b4 + 3*b5 - 4*b10 + 6*b11 - 2*b16 + 3*b17 - 4*b22 + 5*b23 - 4*b28
+ 5*b29 - 5*b34 + 7*b35 + x40 - x45 - x55 + x56 =E= 0;
e17.. - 5*b5 + 3*b6 - 4*b11 + 6*b12 - 2*b17 + 3*b18 - 4*b23 + 5*b24 - 4*b29
+ 5*b30 - 5*b35 + 7*b36 + x41 - x46 - x56 + x57 =E= 0;
e18.. - 5*b1 + 5*b2 - 2*b7 + 4*b8 - 4*b13 + 2*b14 - 6*b19 + 4*b20 - 3*b25
+ 4*b26 - 6*b31 + 5*b32 + x42 - x47 - x58 + x59 =E= 0;
e19.. - 5*b2 + 5*b3 - 2*b8 + 4*b9 - 4*b14 + 2*b15 - 6*b20 + 4*b21 - 3*b26
+ 4*b27 - 6*b32 + 5*b33 + x43 - x48 - x59 + x60 =E= 0;
e20.. - 5*b3 + 5*b4 - 2*b9 + 4*b10 - 4*b15 + 2*b16 - 6*b21 + 4*b22 - 3*b27
+ 4*b28 - 6*b33 + 5*b34 + x44 - x49 - x60 + x61 =E= 0;
e21.. - 5*b4 + 5*b5 - 2*b10 + 4*b11 - 4*b16 + 2*b17 - 6*b22 + 4*b23 - 3*b28
+ 4*b29 - 6*b34 + 5*b35 + x45 - x50 - x61 + x62 =E= 0;
e22.. - 5*b5 + 5*b6 - 2*b11 + 4*b12 - 4*b17 + 2*b18 - 6*b23 + 4*b24 - 3*b29
+ 4*b30 - 6*b35 + 5*b36 + x46 - x51 - x62 + x63 =E= 0;
e23.. x64 =E= 0;
e24.. - 3*b1 - 6*b7 - 3*b13 - 5*b19 - 5*b25 - 7*b31 - x37 + x65 =E= 0;
e25.. - 3*b1 - 3*b2 - 6*b7 - 6*b8 - 3*b13 - 3*b14 - 5*b19 - 5*b20 - 5*b25
- 5*b26 - 7*b31 - 7*b32 - x37 - x38 + x66 =E= 0;
e26.. - 3*b1 - 3*b2 - 3*b3 - 6*b7 - 6*b8 - 6*b9 - 3*b13 - 3*b14 - 3*b15
- 5*b19 - 5*b20 - 5*b21 - 5*b25 - 5*b26 - 5*b27 - 7*b31 - 7*b32 - 7*b33
- x37 - x38 - x39 + x67 =E= 0;
e27.. - 3*b1 - 3*b2 - 3*b3 - 3*b4 - 6*b7 - 6*b8 - 6*b9 - 6*b10 - 3*b13 - 3*b14
- 3*b15 - 3*b16 - 5*b19 - 5*b20 - 5*b21 - 5*b22 - 5*b25 - 5*b26 - 5*b27
- 5*b28 - 7*b31 - 7*b32 - 7*b33 - 7*b34 - x37 - x38 - x39 - x40 + x68
=E= 0;
e28.. - 3*b1 - 3*b2 - 3*b3 - 3*b4 - 3*b5 - 6*b7 - 6*b8 - 6*b9 - 6*b10 - 6*b11
- 3*b13 - 3*b14 - 3*b15 - 3*b16 - 3*b17 - 5*b19 - 5*b20 - 5*b21 - 5*b22
- 5*b23 - 5*b25 - 5*b26 - 5*b27 - 5*b28 - 5*b29 - 7*b31 - 7*b32 - 7*b33
- 7*b34 - 7*b35 - x37 - x38 - x39 - x40 - x41 + x69 =E= 0;
e29.. - 3*b1 - 6*b7 - 3*b13 - 5*b19 - 5*b25 - 7*b31 + x70 =E= 0;
e30.. - 8*b1 - 10*b7 - 5*b13 - 9*b19 - 9*b25 - 12*b31 - x42 + x71 =E= 0;
e31.. - 8*b1 - 5*b2 - 10*b7 - 4*b8 - 5*b13 - 2*b14 - 9*b19 - 4*b20 - 9*b25
- 4*b26 - 12*b31 - 5*b32 - x42 - x43 + x72 =E= 0;
e32.. - 8*b1 - 5*b2 - 5*b3 - 10*b7 - 4*b8 - 4*b9 - 5*b13 - 2*b14 - 2*b15
- 9*b19 - 4*b20 - 4*b21 - 9*b25 - 4*b26 - 4*b27 - 12*b31 - 5*b32 - 5*b33
- x42 - x43 - x44 + x73 =E= 0;
e33.. - 8*b1 - 5*b2 - 5*b3 - 5*b4 - 10*b7 - 4*b8 - 4*b9 - 4*b10 - 5*b13
- 2*b14 - 2*b15 - 2*b16 - 9*b19 - 4*b20 - 4*b21 - 4*b22 - 9*b25 - 4*b26
- 4*b27 - 4*b28 - 12*b31 - 5*b32 - 5*b33 - 5*b34 - x42 - x43 - x44 - x45
+ x74 =E= 0;
e34.. - 8*b1 - 5*b2 - 5*b3 - 5*b4 - 5*b5 - 10*b7 - 4*b8 - 4*b9 - 4*b10 - 4*b11
- 5*b13 - 2*b14 - 2*b15 - 2*b16 - 2*b17 - 9*b19 - 4*b20 - 4*b21 - 4*b22
- 4*b23 - 9*b25 - 4*b26 - 4*b27 - 4*b28 - 4*b29 - 12*b31 - 5*b32 - 5*b33
- 5*b34 - 5*b35 - x42 - x43 - x44 - x45 - x46 + x75 =E= 0;
e35.. - 8*b1 - 10*b7 - 5*b13 - 9*b19 - 9*b25 - 12*b31 + x76 =E= 0;
e36.. - 13*b1 - 12*b7 - 9*b13 - 15*b19 - 12*b25 - 18*b31 - x47 + x77 =E= 0;
e37.. - 13*b1 - 5*b2 - 12*b7 - 2*b8 - 9*b13 - 4*b14 - 15*b19 - 6*b20 - 12*b25
- 3*b26 - 18*b31 - 6*b32 - x47 - x48 + x78 =E= 0;
e38.. - 13*b1 - 5*b2 - 5*b3 - 12*b7 - 2*b8 - 2*b9 - 9*b13 - 4*b14 - 4*b15
- 15*b19 - 6*b20 - 6*b21 - 12*b25 - 3*b26 - 3*b27 - 18*b31 - 6*b32
- 6*b33 - x47 - x48 - x49 + x79 =E= 0;
e39.. - 13*b1 - 5*b2 - 5*b3 - 5*b4 - 12*b7 - 2*b8 - 2*b9 - 2*b10 - 9*b13
- 4*b14 - 4*b15 - 4*b16 - 15*b19 - 6*b20 - 6*b21 - 6*b22 - 12*b25
- 3*b26 - 3*b27 - 3*b28 - 18*b31 - 6*b32 - 6*b33 - 6*b34 - x47 - x48
- x49 - x50 + x80 =E= 0;
e40.. - 13*b1 - 5*b2 - 5*b3 - 5*b4 - 5*b5 - 12*b7 - 2*b8 - 2*b9 - 2*b10
- 2*b11 - 9*b13 - 4*b14 - 4*b15 - 4*b16 - 4*b17 - 15*b19 - 6*b20 - 6*b21
- 6*b22 - 6*b23 - 12*b25 - 3*b26 - 3*b27 - 3*b28 - 3*b29 - 18*b31
- 6*b32 - 6*b33 - 6*b34 - 6*b35 - x47 - x48 - x49 - x50 - x51 + x81
=E= 0;
e41.. - 8*b1 - 10*b7 - 5*b13 - 9*b19 - 9*b25 - 12*b31 - x47 - x48 - x49 - x50
- x51 + objvar =E= 0;
* set non default bounds
x38.fx = 0;
x39.fx = 0;
x40.fx = 0;
x41.fx = 0;
x52.fx = 0;
x58.fx = 0;
* 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 MIP minimizing objvar;
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