nappi_c.gms:
Reference:
- Bixby, R, Ceria, S, McZeal C M, and Savelsbergh, M W P, An Updated Mixed Integer Programming Library: MIPLIB 3.0. Optima 58 (1998), 12-15.
Point:
* MPEC written by GAMS Convert at 01/04/02 11:31:20
*
* Equation counts
* Total E G L N X
* 98 60 30 8 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 116 116 0 0 0 0 0 0
* FX 22 22 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 330 242 88 0
*
* Solve m using MPEC 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,objvar,x109,x110,x111,x112,x113,x114,x115,x116;
Positive Variables 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,x109,x110,x111,x112,x113,x114,x115,x116;
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,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98;
e1.. - x1 + 900*x12 - 900*x86 + 900*x87 =E= 0;
e2.. - x2 - 900*x12 - 900*x88 + 900*x89 =E= 0;
e3.. - x3 + 900*x15 - 900*x90 + 900*x91 =E= 0;
e4.. - x4 - 900*x13 + 900*x17 - 900*x92 + 900*x93 =E= 0;
e5.. - x5 + 900*x19 - 900*x94 + 900*x95 =E= 0;
e6.. - x6 - 900*x14 + 900*x16 - 900*x96 + 900*x97 =E= 0;
e7.. - x7 - 900*x16 + 900*x18 - 900*x98 + 900*x99 =E= 0;
e8.. - x8 + 282.842712474619*x16 + 282.842712474619*x17 - 400*x100 + 400*x101
=E= 0;
e9.. - x9 + 282.842712474619*x12 - 282.842712474619*x13 - 282.842712474619*x14
+ 282.842712474619*x15 - 400*x102 + 400*x103 =E= 0;
e10.. - x10 - 282.842712474619*x12 - 282.842712474619*x13
+ 282.842712474619*x18 + 282.842712474619*x19 - 400*x104 + 400*x105
=E= 0;
e11.. - x11 - 282.842712474619*x16 + 282.842712474619*x17 - 400*x106
+ 400*x107 =E= 0;
e12.. x1 - x2 + 0.707106781186547*x9 - 0.707106781186547*x10 =E= 500;
e13.. - x4 - 0.707106781186547*x9 - 0.707106781186547*x10 =E= -500;
e14.. - x6 - 0.707106781186547*x9 =E= 0;
e15.. x3 + 0.707106781186547*x9 =E= -500;
e16.. x6 - x7 + 0.707106781186547*x8 - 0.707106781186547*x11 =E= 0;
e17.. x4 + 0.707106781186547*x8 + 0.707106781186547*x11 =E= 0;
e18.. x7 + 0.707106781186547*x10 =E= 0;
e19.. x5 + 0.707106781186547*x10 =E= 0;
e20.. x42*x86 + x43*x87 - x1 + x20 =G= 0;
e21.. x44*x86 + x45*x87 + x1 + x21 =G= 0;
e22.. x46*x88 + x47*x89 - x2 + x22 =G= 0;
e23.. x48*x88 + x49*x89 + x2 + x23 =G= 0;
e24.. x50*x90 + x51*x91 - x3 + x24 =G= 0;
e25.. x52*x90 + x53*x91 + x3 + x25 =G= 0;
e26.. x54*x92 + x55*x93 - x4 + x26 =G= 0;
e27.. x56*x92 + x57*x93 + x4 + x27 =G= 0;
e28.. x58*x94 + x59*x95 - x5 + x28 =G= 0;
e29.. x60*x94 + x61*x95 + x5 + x29 =G= 0;
e30.. x62*x96 + x63*x97 - x6 + x30 =G= 0;
e31.. x64*x96 + x65*x97 + x6 + x31 =G= 0;
e32.. x66*x98 + x67*x99 - x7 + x32 =G= 0;
e33.. x68*x98 + x69*x99 + x7 + x33 =G= 0;
e34.. x70*x100 + x71*x101 - x8 + x34 =G= 0;
e35.. x72*x100 + x73*x101 + x8 + x35 =G= 0;
e36.. x74*x102 + x75*x103 - x9 + x36 =G= 0;
e37.. x76*x102 + x77*x103 + x9 + x37 =G= 0;
e38.. x78*x104 + x79*x105 - x10 + x38 =G= 0;
e39.. x80*x104 + x81*x105 + x10 + x39 =G= 0;
e40.. x82*x106 + x83*x107 - x11 + x40 =G= 0;
e41.. x84*x106 + x85*x107 + x11 + x41 =G= 0;
e42.. x12 + x109 =G= 0.303509168702781;
e43.. x13 + x110 =G= -2.43897272461382;
e44.. x14 + x111 =G= -1.19258821646486;
e45.. x15 + x112 =G= -3.57004975532878;
e46.. x16 + x113 =G= -1.27370385078767;
e47.. x17 + x114 =G= -2.09711121955391;
e48.. x18 + x115 =G= -1.4062822669605;
e49.. x19 + x116 =G= -0.132578416172825;
e50.. x12 - x109 =L= 0.303509168702781;
e51.. x13 - x110 =L= -2.43897272461382;
e52.. x14 - x111 =L= -1.19258821646486;
e53.. x15 - x112 =L= -3.57004975532878;
e54.. x16 - x113 =L= -1.27370385078767;
e55.. x17 - x114 =L= -2.09711121955391;
e56.. x18 - x115 =L= -1.4062822669605;
e57.. x19 - x116 =L= -0.132578416172825;
e58.. objvar - x109 - x110 - x111 - x112 - x113 - x114 - x115 - x116 =E= 0;
e59.. - x20 + x21 =E= 0;
e60.. - x20 + x22 =E= 0;
e61.. - x20 + x23 =E= 0;
e62.. - x20 + x24 =E= 0;
e63.. - x20 + x25 =E= 0;
e64.. - x20 + x26 =E= 0;
e65.. - x20 + x27 =E= 0;
e66.. - x20 + x28 =E= 0;
e67.. - x20 + x29 =E= 0;
e68.. - x20 + x30 =E= 0;
e69.. - x20 + x31 =E= 0;
e70.. - x20 + x32 =E= 0;
e71.. - x20 + x33 =E= 0;
e72.. - x34 + x35 =E= 0;
e73.. - x34 + x36 =E= 0;
e74.. - x34 + x37 =E= 0;
e75.. - x34 + x38 =E= 0;
e76.. - x34 + x39 =E= 0;
e77.. - x34 + x40 =E= 0;
e78.. - x34 + x41 =E= 0;
e79.. - x42 + x45 =E= 0;
e80.. - x42 + x46 =E= 0;
e81.. - x42 + x49 =E= 0;
e82.. - x42 + x50 =E= 0;
e83.. - x42 + x53 =E= 0;
e84.. - x42 + x54 =E= 0;
e85.. - x42 + x57 =E= 0;
e86.. - x42 + x58 =E= 0;
e87.. - x42 + x61 =E= 0;
e88.. - x42 + x62 =E= 0;
e89.. - x42 + x65 =E= 0;
e90.. - x42 + x66 =E= 0;
e91.. - x42 + x69 =E= 0;
e92.. - x70 + x73 =E= 0;
e93.. - x70 + x74 =E= 0;
e94.. - x70 + x77 =E= 0;
e95.. - x70 + x78 =E= 0;
e96.. - x70 + x81 =E= 0;
e97.. - x70 + x82 =E= 0;
e98.. - x70 + x85 =E= 0;
* set non default bounds
x20.lo = 10; x20.up = 500;
x21.lo = 10; x21.up = 500;
x22.lo = 10; x22.up = 500;
x23.lo = 10; x23.up = 500;
x24.lo = 10; x24.up = 500;
x25.lo = 10; x25.up = 500;
x26.lo = 10; x26.up = 500;
x27.lo = 10; x27.up = 500;
x28.lo = 10; x28.up = 500;
x29.lo = 10; x29.up = 500;
x30.lo = 10; x30.up = 500;
x31.lo = 10; x31.up = 500;
x32.lo = 10; x32.up = 500;
x33.lo = 10; x33.up = 500;
x34.lo = 10; x34.up = 500;
x35.lo = 10; x35.up = 500;
x36.lo = 10; x36.up = 500;
x37.lo = 10; x37.up = 500;
x38.lo = 10; x38.up = 500;
x39.lo = 10; x39.up = 500;
x40.lo = 10; x40.up = 500;
x41.lo = 10; x41.up = 500;
x42.up = 300;
x43.fx = 0;
x44.fx = 0;
x45.up = 300;
x46.up = 300;
x47.fx = 0;
x48.fx = 0;
x49.up = 300;
x50.up = 300;
x51.fx = 0;
x52.fx = 0;
x53.up = 300;
x54.up = 300;
x55.fx = 0;
x56.fx = 0;
x57.up = 300;
x58.up = 300;
x59.fx = 0;
x60.fx = 0;
x61.up = 300;
x62.up = 300;
x63.fx = 0;
x64.fx = 0;
x65.up = 300;
x66.up = 300;
x67.fx = 0;
x68.fx = 0;
x69.up = 300;
x70.up = 300;
x71.fx = 0;
x72.fx = 0;
x73.up = 300;
x74.up = 300;
x75.fx = 0;
x76.fx = 0;
x77.up = 300;
x78.up = 300;
x79.fx = 0;
x80.fx = 0;
x81.up = 300;
x82.up = 300;
x83.fx = 0;
x84.fx = 0;
x85.up = 300;
* set non default levels
x1.l = 1;
x2.l = 1;
x3.l = 1;
x4.l = 1;
x5.l = 1;
x6.l = 1;
x7.l = 1;
x8.l = 1;
x9.l = 1;
x10.l = 1;
x11.l = 1;
x12.l = 0.303509168702781;
x13.l = -2.43897272461382;
x14.l = -1.19258821646486;
x15.l = -3.57004975532878;
x16.l = -1.27370385078767;
x17.l = -2.09711121955391;
x18.l = -1.4062822669605;
x19.l = -0.132578416172825;
x42.l = 10;
x45.l = 10;
x46.l = 10;
x49.l = 10;
x50.l = 10;
x53.l = 10;
x54.l = 10;
x57.l = 10;
x58.l = 10;
x61.l = 10;
x62.l = 10;
x65.l = 10;
x66.l = 10;
x69.l = 10;
x70.l = 10;
x73.l = 10;
x74.l = 10;
x77.l = 10;
x78.l = 10;
x81.l = 10;
x82.l = 10;
x85.l = 10;
x86.l = 1;
x87.l = 1;
x88.l = 1;
x89.l = 1;
x90.l = 1;
x91.l = 1;
x92.l = 1;
x93.l = 1;
x94.l = 1;
x95.l = 1;
x96.l = 1;
x97.l = 1;
x98.l = 1;
x99.l = 1;
x100.l = 1;
x101.l = 1;
x102.l = 1;
x103.l = 1;
x104.l = 1;
x105.l = 1;
x106.l = 1;
x107.l = 1;
x109.l = 1;
x110.l = 1;
x111.l = 1;
x112.l = 1;
x113.l = 1;
x114.l = 1;
x115.l = 1;
x116.l = 1;
* set non default marginals
e1.m = 1;
e2.m = 1;
e3.m = 1;
e4.m = 1;
e5.m = 1;
e6.m = 1;
e7.m = 1;
e8.m = 1;
e9.m = 1;
e10.m = 1;
e11.m = 1;
e12.m = 1;
e13.m = 1;
e14.m = 1;
e15.m = 1;
e16.m = 1;
e17.m = 1;
e18.m = 1;
e19.m = 1;
e25.m = 1;
e35.m = 1;
e41.m = 1;
x86.m = 1;
x87.m = 1;
x88.m = 1;
x89.m = 1;
x90.m = 1;
x92.m = 1;
x93.m = 1;
x94.m = 1;
x95.m = 1;
x96.m = 1;
x97.m = 1;
x98.m = 1;
x99.m = 1;
x100.m = 1;
x102.m = 1;
x103.m = 1;
x104.m = 1;
x105.m = 1;
x106.m = 1;
Model m / e1.x1,e2.x2,e3.x3,e4.x4,e5.x5,e6.x6,e7.x7,e8.x8,e9.x9,e10.x10
,e11.x11,e12.x12,e13.x13,e14.x14,e15.x15,e16.x16,e17.x17,e18.x18
,e19.x19,e20.x86,e21.x87,e22.x88,e23.x89,e24.x90,e25.x91,e26.x92
,e27.x93,e28.x94,e29.x95,e30.x96,e31.x97,e32.x98,e33.x99,e34.x100
,e35.x101,e36.x102,e37.x103,e38.x104,e39.x105,e40.x106,e41.x107,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,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87,e88,e89,e90
,e91,e92,e93,e94,e95,e96,e97,e98 /;
m.limrow=0; m.limcol=0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
Solve m using MPEC minimizing objvar;