trimloss.gms
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* NLP written by GAMS Convert at 10/06/06 11:53:47
*
* Equation counts
* Total E G L N X C
* 76 21 55 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 143 143 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 1010 978 32 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,x18,x19
,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36
,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,x82,x83,x84,x85,x86,x87
,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103
,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116
,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129
,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142
,objvar;
Positive 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,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34
,x35,x36,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,x82,x83,x84,x85
,x86,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101
,x102,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114
,x115,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127
,x128,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140
,x141,x142;
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,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
,e71,e72,e73,e74,e75,e76;
e1.. x5 + 2*x6 + 3*x7 + 4*x8 + 5*x9 + 6*x10 + 7*x11 + 8*x12 + 9*x13 + 10*x14
+ 11*x15 + 12*x16 + 13*x17 + 14*x18 + 15*x19 + x20 + 2*x21 + 3*x22
+ 4*x23 + 5*x24 + 6*x25 + 7*x26 + 8*x27 + 9*x28 + 10*x29 + 11*x30
+ 12*x31 + x32 + 2*x33 + 3*x34 + 4*x35 + 5*x36 + 6*x37 + 7*x38 + 8*x39
+ 9*x40 + x41 + 2*x42 + 3*x43 + 4*x44 + 5*x45 + 6*x46 =G= 9;
e2.. 19*x1 - x47 - 2*x48 - 3*x49 - 4*x50 - 5*x51 - x67 - 2*x68 - 3*x69
- 4*x70 - 5*x71 - x87 - 2*x88 - 3*x89 - 4*x90 - 5*x91 - x107 - 2*x108
- 3*x109 - 4*x110 =G= 0;
e3.. 19*x2 - x52 - 2*x53 - 3*x54 - 4*x55 - 5*x56 - x72 - 2*x73 - 3*x74
- 4*x75 - 5*x76 - x92 - 2*x93 - 3*x94 - 4*x95 - 5*x96 - x111 - 2*x112
- 3*x113 - 4*x114 =G= 0;
e4.. 19*x3 - x57 - 2*x58 - 3*x59 - 4*x60 - 5*x61 - x77 - 2*x78 - 3*x79
- 4*x80 - 5*x81 - x97 - 2*x98 - 3*x99 - 4*x100 - 5*x101 - x115 - 2*x116
- 3*x117 - 4*x118 =G= 0;
e5.. 19*x4 - x62 - 2*x63 - 3*x64 - 4*x65 - 5*x66 - x82 - 2*x83 - 3*x84
- 4*x85 - 5*x86 - x102 - 2*x103 - 3*x104 - 4*x105 - 5*x106 - x119
- 2*x120 - 3*x121 - 4*x122 =G= 0;
e6.. 2000*x1 - 330*x47 - 660*x48 - 990*x49 - 1320*x50 - 1650*x51 - 365*x67
- 730*x68 - 1095*x69 - 1460*x70 - 1825*x71 - 390*x87 - 780*x88 - 1170*x89
- 1560*x90 - 1950*x91 - 435*x107 - 870*x108 - 1305*x109 - 1740*x110
=G= 0;
e7.. 2000*x2 - 330*x52 - 660*x53 - 990*x54 - 1320*x55 - 1650*x56 - 365*x72
- 730*x73 - 1095*x74 - 1460*x75 - 1825*x76 - 390*x92 - 780*x93 - 1170*x94
- 1560*x95 - 1950*x96 - 435*x111 - 870*x112 - 1305*x113 - 1740*x114
=G= 0;
e8.. 2000*x3 - 330*x57 - 660*x58 - 990*x59 - 1320*x60 - 1650*x61 - 365*x77
- 730*x78 - 1095*x79 - 1460*x80 - 1825*x81 - 390*x97 - 780*x98 - 1170*x99
- 1560*x100 - 1950*x101 - 435*x115 - 870*x116 - 1305*x117 - 1740*x118
=G= 0;
e9.. 2000*x4 - 330*x62 - 660*x63 - 990*x64 - 1320*x65 - 1650*x66 - 365*x82
- 730*x83 - 1095*x84 - 1460*x85 - 1825*x86 - 390*x102 - 780*x103
- 1170*x104 - 1560*x105 - 1950*x106 - 435*x119 - 870*x120 - 1305*x121
- 1740*x122 =G= 0;
e10.. - 1800*x1 + 330*x47 + 660*x48 + 990*x49 + 1320*x50 + 1650*x51 + 365*x67
+ 730*x68 + 1095*x69 + 1460*x70 + 1825*x71 + 390*x87 + 780*x88
+ 1170*x89 + 1560*x90 + 1950*x91 + 435*x107 + 870*x108 + 1305*x109
+ 1740*x110 =G= 0;
e11.. - 1800*x2 + 330*x52 + 660*x53 + 990*x54 + 1320*x55 + 1650*x56 + 365*x72
+ 730*x73 + 1095*x74 + 1460*x75 + 1825*x76 + 390*x92 + 780*x93
+ 1170*x94 + 1560*x95 + 1950*x96 + 435*x111 + 870*x112 + 1305*x113
+ 1740*x114 =G= 0;
e12.. - 1800*x3 + 330*x57 + 660*x58 + 990*x59 + 1320*x60 + 1650*x61 + 365*x77
+ 730*x78 + 1095*x79 + 1460*x80 + 1825*x81 + 390*x97 + 780*x98
+ 1170*x99 + 1560*x100 + 1950*x101 + 435*x115 + 870*x116 + 1305*x117
+ 1740*x118 =G= 0;
e13.. - 1800*x4 + 330*x62 + 660*x63 + 990*x64 + 1320*x65 + 1650*x66 + 365*x82
+ 730*x83 + 1095*x84 + 1460*x85 + 1825*x86 + 390*x102 + 780*x103
+ 1170*x104 + 1560*x105 + 1950*x106 + 435*x119 + 870*x120 + 1305*x121
+ 1740*x122 =G= 0;
e14.. - x1 + x5 + 2*x6 + 3*x7 + 4*x8 + 5*x9 + 6*x10 + 7*x11 + 8*x12 + 9*x13
+ 10*x14 + 11*x15 + 12*x16 + 13*x17 + 14*x18 + 15*x19 =G= 0;
e15.. - x2 + x20 + 2*x21 + 3*x22 + 4*x23 + 5*x24 + 6*x25 + 7*x26 + 8*x27
+ 9*x28 + 10*x29 + 11*x30 + 12*x31 =G= 0;
e16.. - x3 + x32 + 2*x33 + 3*x34 + 4*x35 + 5*x36 + 6*x37 + 7*x38 + 8*x39
+ 9*x40 =G= 0;
e17.. - x4 + x41 + 2*x42 + 3*x43 + 4*x44 + 5*x45 + 6*x46 =G= 0;
e18.. 15*x1 - x5 - 2*x6 - 3*x7 - 4*x8 - 5*x9 - 6*x10 - 7*x11 - 8*x12 - 9*x13
- 10*x14 - 11*x15 - 12*x16 - 13*x17 - 14*x18 - 15*x19 =G= 0;
e19.. 12*x2 - x20 - 2*x21 - 3*x22 - 4*x23 - 5*x24 - 6*x25 - 7*x26 - 8*x27
- 9*x28 - 10*x29 - 11*x30 - 12*x31 =G= 0;
e20.. 9*x3 - x32 - 2*x33 - 3*x34 - 4*x35 - 5*x36 - 6*x37 - 7*x38 - 8*x39
- 9*x40 =G= 0;
e21.. 6*x4 - x41 - 2*x42 - 3*x43 - 4*x44 - 5*x45 - 6*x46 =G= 0;
e22.. - 3*x5 - 8*x6 - 15*x7 - 24*x8 - 35*x9 - 48*x10 - 63*x11 - 80*x12
- 99*x13 - 120*x14 - 143*x15 - 168*x16 - 195*x17 - 224*x18 - 255*x19
+ x123 =E= 1;
e23.. - 3*x20 - 8*x21 - 15*x22 - 24*x23 - 35*x24 - 48*x25 - 63*x26 - 80*x27
- 99*x28 - 120*x29 - 143*x30 - 168*x31 + x124 =E= 1;
e24.. - 3*x32 - 8*x33 - 15*x34 - 24*x35 - 35*x36 - 48*x37 - 63*x38 - 80*x39
- 99*x40 + x125 =E= 1;
e25.. - 3*x41 - 8*x42 - 15*x43 - 24*x44 - 35*x45 - 48*x46 + x126 =E= 1;
e26.. - 3*x47 - 8*x48 - 15*x49 - 24*x50 - 35*x51 + x127 =E= 1;
e27.. - 3*x52 - 8*x53 - 15*x54 - 24*x55 - 35*x56 + x128 =E= 1;
e28.. - 3*x57 - 8*x58 - 15*x59 - 24*x60 - 35*x61 + x129 =E= 1;
e29.. - 3*x62 - 8*x63 - 15*x64 - 24*x65 - 35*x66 + x130 =E= 1;
e30.. - 3*x67 - 8*x68 - 15*x69 - 24*x70 - 35*x71 + x131 =E= 1;
e31.. - 3*x72 - 8*x73 - 15*x74 - 24*x75 - 35*x76 + x132 =E= 1;
e32.. - 3*x77 - 8*x78 - 15*x79 - 24*x80 - 35*x81 + x133 =E= 1;
e33.. - 3*x82 - 8*x83 - 15*x84 - 24*x85 - 35*x86 + x134 =E= 1;
e34.. - 3*x87 - 8*x88 - 15*x89 - 24*x90 - 35*x91 + x135 =E= 1;
e35.. - 3*x92 - 8*x93 - 15*x94 - 24*x95 - 35*x96 + x136 =E= 1;
e36.. - 3*x97 - 8*x98 - 15*x99 - 24*x100 - 35*x101 + x137 =E= 1;
e37.. - 3*x102 - 8*x103 - 15*x104 - 24*x105 - 35*x106 + x138 =E= 1;
e38.. - 3*x107 - 8*x108 - 15*x109 - 24*x110 + x139 =E= 1;
e39.. - 3*x111 - 8*x112 - 15*x113 - 24*x114 + x140 =E= 1;
e40.. - 3*x115 - 8*x116 - 15*x117 - 24*x118 + x141 =E= 1;
e41.. - 3*x119 - 8*x120 - 15*x121 - 24*x122 + x142 =E= 1;
e42.. - x47 - x48 - x49 - x50 - x51 =G= -1;
e43.. - x52 - x53 - x54 - x55 - x56 =G= -1;
e44.. - x57 - x58 - x59 - x60 - x61 =G= -1;
e45.. - x62 - x63 - x64 - x65 - x66 =G= -1;
e46.. - x67 - x68 - x69 - x70 - x71 =G= -1;
e47.. - x72 - x73 - x74 - x75 - x76 =G= -1;
e48.. - x77 - x78 - x79 - x80 - x81 =G= -1;
e49.. - x82 - x83 - x84 - x85 - x86 =G= -1;
e50.. - x87 - x88 - x89 - x90 - x91 =G= -1;
e51.. - x92 - x93 - x94 - x95 - x96 =G= -1;
e52.. - x97 - x98 - x99 - x100 - x101 =G= -1;
e53.. - x102 - x103 - x104 - x105 - x106 =G= -1;
e54.. - x107 - x108 - x109 - x110 =G= -1;
e55.. - x111 - x112 - x113 - x114 =G= -1;
e56.. - x115 - x116 - x117 - x118 =G= -1;
e57.. - x119 - x120 - x121 - x122 =G= -1;
e58.. - x5 - x6 - x7 - x8 - x9 - x10 - x11 - x12 - x13 - x14 - x15 - x16 - x17
- x18 - x19 =G= -1;
e59.. - x20 - x21 - x22 - x23 - x24 - x25 - x26 - x27 - x28 - x29 - x30 - x31
=G= -1;
e60.. - x32 - x33 - x34 - x35 - x36 - x37 - x38 - x39 - x40 =G= -1;
e61.. - x41 - x42 - x43 - x44 - x45 - x46 =G= -1;
e62.. x17 + x18 + x19 =G= 0;
e63.. x29 + x30 + x31 =G= 0;
e64.. x38 + x39 + x40 =G= 0;
e65.. x1 - x2 =G= 0;
e66.. x2 - x3 =G= 0;
e67.. x3 - x4 =G= 0;
e68.. - x5 - 2*x6 - 3*x7 - 4*x8 - 5*x9 - 6*x10 - 7*x11 - 8*x12 - 9*x13
- 10*x14 - 11*x15 - 12*x16 - 13*x17 - 14*x18 - 15*x19 =G= -15;
e69.. - x20 - 2*x21 - 3*x22 - 4*x23 - 5*x24 - 6*x25 - 7*x26 - 8*x27 - 9*x28
- 10*x29 - 11*x30 - 12*x31 =G= -12;
e70.. - x32 - 2*x33 - 3*x34 - 4*x35 - 5*x36 - 6*x37 - 7*x38 - 8*x39 - 9*x40
=G= -9;
e71.. - x41 - 2*x42 - 3*x43 - 4*x44 - 5*x45 - 6*x46 =G= -6;
e72.. - (-sqrt(x123*x127) - sqrt(x124*x128) - sqrt(x125*x129) - sqrt(x126*x130
)) - x5 - 2*x6 - 3*x7 - 4*x8 - 5*x9 - 6*x10 - 7*x11 - 8*x12 - 9*x13
- 10*x14 - 11*x15 - 12*x16 - 13*x17 - 14*x18 - 15*x19 - x20 - 2*x21
- 3*x22 - 4*x23 - 5*x24 - 6*x25 - 7*x26 - 8*x27 - 9*x28 - 10*x29
- 11*x30 - 12*x31 - x32 - 2*x33 - 3*x34 - 4*x35 - 5*x36 - 6*x37 - 7*x38
- 8*x39 - 9*x40 - x41 - 2*x42 - 3*x43 - 4*x44 - 5*x45 - 6*x46 - x47
- 2*x48 - 3*x49 - 4*x50 - 5*x51 - x52 - 2*x53 - 3*x54 - 4*x55 - 5*x56
- x57 - 2*x58 - 3*x59 - 4*x60 - 5*x61 - x62 - 2*x63 - 3*x64 - 4*x65
- 5*x66 =G= 12;
e73.. - (-sqrt(x123*x131) - sqrt(x124*x132) - sqrt(x125*x133) - sqrt(x126*x134
)) - x5 - 2*x6 - 3*x7 - 4*x8 - 5*x9 - 6*x10 - 7*x11 - 8*x12 - 9*x13
- 10*x14 - 11*x15 - 12*x16 - 13*x17 - 14*x18 - 15*x19 - x20 - 2*x21
- 3*x22 - 4*x23 - 5*x24 - 6*x25 - 7*x26 - 8*x27 - 9*x28 - 10*x29
- 11*x30 - 12*x31 - x32 - 2*x33 - 3*x34 - 4*x35 - 5*x36 - 6*x37 - 7*x38
- 8*x39 - 9*x40 - x41 - 2*x42 - 3*x43 - 4*x44 - 5*x45 - 6*x46 - x67
- 2*x68 - 3*x69 - 4*x70 - 5*x71 - x72 - 2*x73 - 3*x74 - 4*x75 - 5*x76
- x77 - 2*x78 - 3*x79 - 4*x80 - 5*x81 - x82 - 2*x83 - 3*x84 - 4*x85
- 5*x86 =G= 6;
e74.. - (-sqrt(x123*x135) - sqrt(x124*x136) - sqrt(x125*x137) - sqrt(x126*x138
)) - x5 - 2*x6 - 3*x7 - 4*x8 - 5*x9 - 6*x10 - 7*x11 - 8*x12 - 9*x13
- 10*x14 - 11*x15 - 12*x16 - 13*x17 - 14*x18 - 15*x19 - x20 - 2*x21
- 3*x22 - 4*x23 - 5*x24 - 6*x25 - 7*x26 - 8*x27 - 9*x28 - 10*x29
- 11*x30 - 12*x31 - x32 - 2*x33 - 3*x34 - 4*x35 - 5*x36 - 6*x37 - 7*x38
- 8*x39 - 9*x40 - x41 - 2*x42 - 3*x43 - 4*x44 - 5*x45 - 6*x46 - x87
- 2*x88 - 3*x89 - 4*x90 - 5*x91 - x92 - 2*x93 - 3*x94 - 4*x95 - 5*x96
- x97 - 2*x98 - 3*x99 - 4*x100 - 5*x101 - x102 - 2*x103 - 3*x104
- 4*x105 - 5*x106 =G= 15;
e75.. - (-sqrt(x123*x139) - sqrt(x124*x140) - sqrt(x125*x141) - sqrt(x126*x142
)) - x5 - 2*x6 - 3*x7 - 4*x8 - 5*x9 - 6*x10 - 7*x11 - 8*x12 - 9*x13
- 10*x14 - 11*x15 - 12*x16 - 13*x17 - 14*x18 - 15*x19 - x20 - 2*x21
- 3*x22 - 4*x23 - 5*x24 - 6*x25 - 7*x26 - 8*x27 - 9*x28 - 10*x29
- 11*x30 - 12*x31 - x32 - 2*x33 - 3*x34 - 4*x35 - 5*x36 - 6*x37 - 7*x38
- 8*x39 - 9*x40 - x41 - 2*x42 - 3*x43 - 4*x44 - 5*x45 - 6*x46 - x107
- 2*x108 - 3*x109 - 4*x110 - x111 - 2*x112 - 3*x113 - 4*x114 - x115
- 2*x116 - 3*x117 - 4*x118 - x119 - 2*x120 - 3*x121 - 4*x122 =G= 9;
e76.. - 0.1*x1 - 0.2*x2 - 0.3*x3 - 0.4*x4 - x5 - 2*x6 - 3*x7 - 4*x8 - 5*x9
- 6*x10 - 7*x11 - 8*x12 - 9*x13 - 10*x14 - 11*x15 - 12*x16 - 13*x17
- 14*x18 - 15*x19 - x20 - 2*x21 - 3*x22 - 4*x23 - 5*x24 - 6*x25 - 7*x26
- 8*x27 - 9*x28 - 10*x29 - 11*x30 - 12*x31 - x32 - 2*x33 - 3*x34 - 4*x35
- 5*x36 - 6*x37 - 7*x38 - 8*x39 - 9*x40 - x41 - 2*x42 - 3*x43 - 4*x44
- 5*x45 - 6*x46 + objvar =E= 0;
* set non default bounds
x1.up = 1;
x2.up = 1;
x3.up = 1;
x4.up = 1;
x5.up = 1;
x6.up = 1;
x7.up = 1;
x8.up = 1;
x9.up = 1;
x10.up = 1;
x11.up = 1;
x12.up = 1;
x13.up = 1;
x14.up = 1;
x15.up = 1;
x16.up = 1;
x17.up = 1;
x18.up = 1;
x19.up = 1;
x20.up = 1;
x21.up = 1;
x22.up = 1;
x23.up = 1;
x24.up = 1;
x25.up = 1;
x26.up = 1;
x27.up = 1;
x28.up = 1;
x29.up = 1;
x30.up = 1;
x31.up = 1;
x32.up = 1;
x33.up = 1;
x34.up = 1;
x35.up = 1;
x36.up = 1;
x37.up = 1;
x38.up = 1;
x39.up = 1;
x40.up = 1;
x41.up = 1;
x42.up = 1;
x43.up = 1;
x44.up = 1;
x45.up = 1;
x46.up = 1;
x47.up = 1;
x48.up = 1;
x49.up = 1;
x50.up = 1;
x51.up = 1;
x52.up = 1;
x53.up = 1;
x54.up = 1;
x55.up = 1;
x56.up = 1;
x57.up = 1;
x58.up = 1;
x59.up = 1;
x60.up = 1;
x61.up = 1;
x62.up = 1;
x63.up = 1;
x64.up = 1;
x65.up = 1;
x66.up = 1;
x67.up = 1;
x68.up = 1;
x69.up = 1;
x70.up = 1;
x71.up = 1;
x72.up = 1;
x73.up = 1;
x74.up = 1;
x75.up = 1;
x76.up = 1;
x77.up = 1;
x78.up = 1;
x79.up = 1;
x80.up = 1;
x81.up = 1;
x82.up = 1;
x83.up = 1;
x84.up = 1;
x85.up = 1;
x86.up = 1;
x87.up = 1;
x88.up = 1;
x89.up = 1;
x90.up = 1;
x91.up = 1;
x92.up = 1;
x93.up = 1;
x94.up = 1;
x95.up = 1;
x96.up = 1;
x97.up = 1;
x98.up = 1;
x99.up = 1;
x100.up = 1;
x101.up = 1;
x102.up = 1;
x103.up = 1;
x104.up = 1;
x105.up = 1;
x106.up = 1;
x107.up = 1;
x108.up = 1;
x109.up = 1;
x110.up = 1;
x111.up = 1;
x112.up = 1;
x113.up = 1;
x114.up = 1;
x115.up = 1;
x116.up = 1;
x117.up = 1;
x118.up = 1;
x119.up = 1;
x120.up = 1;
x121.up = 1;
x122.up = 1;
* set non default levels
x123.l = 1;
x124.l = 1;
x125.l = 1;
x126.l = 1;
x127.l = 1;
x128.l = 1;
x129.l = 1;
x130.l = 1;
x131.l = 1;
x132.l = 1;
x133.l = 1;
x134.l = 1;
x135.l = 1;
x136.l = 1;
x137.l = 1;
x138.l = 1;
x139.l = 1;
x140.l = 1;
x141.l = 1;
x142.l = 1;
* 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;
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