MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance parallel

Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
924.29555070 p1 ( gdx sol )
(infeas: 2e-12)
Other points (infeas > 1e-08)  
Dual Bounds
924.29209810 (ANTIGONE)
924.29553370 (BARON)
924.29500000 (COUENNE)
924.29554040 (LINDO)
924.20645260 (OCTERACT)
924.28865760 (SCIP)
0.00000000 (SHOT)
Source Aldo Vecchietti's Model Collection
Application Cyclic multiproduct scheduling on parallel lines
Added to library 01 May 2001
Problem type MBNLP
#Variables 205
#Binary Variables 25
#Integer Variables 0
#Nonlinear Variables 151
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type signomial
Objective curvature indefinite
#Nonzeros in Objective 155
#Nonlinear Nonzeros in Objective 131
#Constraints 115
#Linear Constraints 111
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 4
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 596
#Nonlinear Nonzeros in Jacobian 24
#Nonzeros in (Upper-Left) Hessian of Lagrangian 301
#Nonzeros in Diagonal of Hessian of Lagrangian 1
#Blocks in Hessian of Lagrangian 1
Minimal blocksize in Hessian of Lagrangian 151
Maximal blocksize in Hessian of Lagrangian 151
Average blocksize in Hessian of Lagrangian 151.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e+00
Maximal coefficient 1.0000e+05
Infeasibility of initial point 690
Sparsity Jacobian Sparsity of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        116       82        5       29        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        206      181       25        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        752      597      155        0
*
*  Solve m using MINLP 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,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
          ,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155
          ,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
          ,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
          ,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
          ,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,objvar;

Positive Variables  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,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,x143,x144,x145
          ,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155,x156,x157,x158
          ,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168,x169,x170,x171
          ,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181,x182,x183,x184
          ,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194,x195,x196,x197
          ,x198,x199,x200,x201,x202,x203,x204,x205;

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;

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,e99,e100,e101,e102,e103
          ,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116;


e1..  - 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 =E= 0;

e2.. -(x52/x51 + x53/x51 + x54/x51 + x55/x51 + x56/x51) - x202
      =L= -0.483091787439614;

e3.. -(x57/x51 + x58/x51 + x59/x51 + x60/x51 + x61/x51) - x203
      =L= -0.193236714975845;

e4.. -(x62/x51 + x63/x51 + x64/x51 + x65/x51 + x66/x51) - x204
      =L= -0.144927536231884;

e5.. -(x67/x51 + x68/x51 + x69/x51 + x70/x51 + x71/x51) - x205
      =L= -0.144927536231884;

e6..  - 1.33333333333333*x26 + x52 + 2.66666666666667*x102
      + 6.66666666666667*x127 + 5.33333333333333*x152 + 6.66666666666667*x177
      =E= 0;

e7..  - 1.33333333333333*x27 + x53 + 2.66666666666667*x103
      + 6.66666666666667*x128 + 5.33333333333333*x153 + 6.66666666666667*x178
      =E= 0;

e8..  - 1.33333333333333*x28 + x54 + 2.66666666666667*x104
      + 6.66666666666667*x129 + 5.33333333333333*x154 + 6.66666666666667*x179
      =E= 0;

e9..  - 1.33333333333333*x29 + x55 + 2.66666666666667*x105
      + 6.66666666666667*x130 + 5.33333333333333*x155 + 6.66666666666667*x180
      =E= 0;

e10..  - 1.33333333333333*x30 + x56 + 2.66666666666667*x106
       + 6.66666666666667*x131 + 5.33333333333333*x156 + 6.66666666666667*x181
       =E= 0;

e11..  - 1.04166666666667*x31 + x57 + 2.08333333333333*x82 + 3.125*x132
       + 2.08333333333333*x157 + 3.125*x182 =E= 0;

e12..  - 1.04166666666667*x32 + x58 + 2.08333333333333*x83 + 3.125*x133
       + 2.08333333333333*x158 + 3.125*x183 =E= 0;

e13..  - 1.04166666666667*x33 + x59 + 2.08333333333333*x84 + 3.125*x134
       + 2.08333333333333*x159 + 3.125*x184 =E= 0;

e14..  - 1.04166666666667*x34 + x60 + 2.08333333333333*x85 + 3.125*x135
       + 2.08333333333333*x160 + 3.125*x185 =E= 0;

e15..  - 1.04166666666667*x35 + x61 + 2.08333333333333*x86 + 3.125*x136
       + 2.08333333333333*x161 + 3.125*x186 =E= 0;

e16..  - 1.25*x36 + x62 + 6.25*x87 + 3.75*x112 + 2.5*x162 + 7.5*x187 =E= 0;

e17..  - 1.25*x37 + x63 + 6.25*x88 + 3.75*x113 + 2.5*x163 + 7.5*x188 =E= 0;

e18..  - 1.25*x38 + x64 + 6.25*x89 + 3.75*x114 + 2.5*x164 + 7.5*x189 =E= 0;

e19..  - 1.25*x39 + x65 + 6.25*x90 + 3.75*x115 + 2.5*x165 + 7.5*x190 =E= 0;

e20..  - 1.25*x40 + x66 + 6.25*x91 + 3.75*x116 + 2.5*x166 + 7.5*x191 =E= 0;

e21..  - 1.25*x41 + x67 + 5*x92 + 2.5*x117 + 2.5*x142 + 6.25*x192 =E= 0;

e22..  - 1.25*x42 + x68 + 5*x93 + 2.5*x118 + 2.5*x143 + 6.25*x193 =E= 0;

e23..  - 1.25*x43 + x69 + 5*x94 + 2.5*x119 + 2.5*x144 + 6.25*x194 =E= 0;

e24..  - 1.25*x44 + x70 + 5*x95 + 2.5*x120 + 2.5*x145 + 6.25*x195 =E= 0;

e25..  - 1.25*x45 + x71 + 5*x96 + 2.5*x121 + 2.5*x146 + 6.25*x196 =E= 0;

e26..  - 1.21875*x46 + x72 + 6.09375*x97 + 3.65625*x122 + 7.3125*x147
       + 6.09375*x172 =E= 0;

e27..  - 1.21875*x47 + x73 + 6.09375*x98 + 3.65625*x123 + 7.3125*x148
       + 6.09375*x173 =E= 0;

e28..  - 1.21875*x48 + x74 + 6.09375*x99 + 3.65625*x124 + 7.3125*x149
       + 6.09375*x174 =E= 0;

e29..  - 1.21875*x49 + x75 + 6.09375*x100 + 3.65625*x125 + 7.3125*x150
       + 6.09375*x175 =E= 0;

e30..  - 1.21875*x50 + x76 + 6.09375*x101 + 3.65625*x126 + 7.3125*x151
       + 6.09375*x176 =E= 0;

e31..    b1 + b6 + b11 + b16 =G= 1;

e32..    b2 + b7 + b12 + b17 =G= 1;

e33..    b3 + b8 + b13 + b18 =G= 1;

e34..    b4 + b9 + b14 + b19 =G= 1;

e35..    b1 + b2 + b3 + b4 + b5 =E= 1;

e36..    b6 + b7 + b8 + b9 + b10 =E= 1;

e37..    b11 + b12 + b13 + b14 + b15 =E= 1;

e38..    b16 + b17 + b18 + b19 + b20 =E= 1;

e39..    b21 + b22 + b23 + b24 + b25 =E= 1;

e40..    b25 =G= 1;

e41..  - 256*b1 + x26 =L= 0;

e42..  - 256*b6 + x27 =L= 0;

e43..  - 256*b11 + x28 =L= 0;

e44..  - 256*b16 + x29 =L= 0;

e45..  - 256*b21 + x30 =L= 0;

e46..  - 131*b2 + x31 =L= 0;

e47..  - 131*b7 + x32 =L= 0;

e48..  - 131*b12 + x33 =L= 0;

e49..  - 131*b17 + x34 =L= 0;

e50..  - 131*b22 + x35 =L= 0;

e51..  - 86*b3 + x36 =L= 0;

e52..  - 86*b8 + x37 =L= 0;

e53..  - 86*b13 + x38 =L= 0;

e54..  - 86*b18 + x39 =L= 0;

e55..  - 86*b23 + x40 =L= 0;

e56..  - 85*b4 + x41 =L= 0;

e57..  - 85*b9 + x42 =L= 0;

e58..  - 85*b14 + x43 =L= 0;

e59..  - 85*b19 + x44 =L= 0;

e60..  - 85*b24 + x45 =L= 0;

e61..  - 690*b5 + x46 =L= 0;

e62..  - 690*b10 + x47 =L= 0;

e63..  - 690*b15 + x48 =L= 0;

e64..  - 690*b20 + x49 =L= 0;

e65..  - 690*b25 + x50 =L= 0;

e66..  - b1 + x77 + x102 + x127 + x152 + x177 =E= 0;

e67..  - b6 + x78 + x103 + x128 + x153 + x178 =E= 0;

e68..  - b11 + x79 + x104 + x129 + x154 + x179 =E= 0;

e69..  - b16 + x80 + x105 + x130 + x155 + x180 =E= 0;

e70..  - b21 + x81 + x106 + x131 + x156 + x181 =E= 0;

e71..  - b2 + x82 + x107 + x132 + x157 + x182 =E= 0;

e72..  - b7 + x83 + x108 + x133 + x158 + x183 =E= 0;

e73..  - b12 + x84 + x109 + x134 + x159 + x184 =E= 0;

e74..  - b17 + x85 + x110 + x135 + x160 + x185 =E= 0;

e75..  - b22 + x86 + x111 + x136 + x161 + x186 =E= 0;

e76..  - b3 + x87 + x112 + x137 + x162 + x187 =E= 0;

e77..  - b8 + x88 + x113 + x138 + x163 + x188 =E= 0;

e78..  - b13 + x89 + x114 + x139 + x164 + x189 =E= 0;

e79..  - b18 + x90 + x115 + x140 + x165 + x190 =E= 0;

e80..  - b23 + x91 + x116 + x141 + x166 + x191 =E= 0;

e81..  - b4 + x92 + x117 + x142 + x167 + x192 =E= 0;

e82..  - b9 + x93 + x118 + x143 + x168 + x193 =E= 0;

e83..  - b14 + x94 + x119 + x144 + x169 + x194 =E= 0;

e84..  - b19 + x95 + x120 + x145 + x170 + x195 =E= 0;

e85..  - b24 + x96 + x121 + x146 + x171 + x196 =E= 0;

e86..  - b5 + x97 + x122 + x147 + x172 + x197 =E= 0;

e87..  - b10 + x98 + x123 + x148 + x173 + x198 =E= 0;

e88..  - b15 + x99 + x124 + x149 + x174 + x199 =E= 0;

e89..  - b20 + x100 + x125 + x150 + x175 + x200 =E= 0;

e90..  - b25 + x101 + x126 + x151 + x176 + x201 =E= 0;

e91..  - b21 + x77 + x82 + x87 + x92 + x97 =E= 0;

e92..  - b1 + x78 + x83 + x88 + x93 + x98 =E= 0;

e93..  - b6 + x79 + x84 + x89 + x94 + x99 =E= 0;

e94..  - b11 + x80 + x85 + x90 + x95 + x100 =E= 0;

e95..  - b16 + x81 + x86 + x91 + x96 + x101 =E= 0;

e96..  - b22 + x102 + x107 + x112 + x117 + x122 =E= 0;

e97..  - b2 + x103 + x108 + x113 + x118 + x123 =E= 0;

e98..  - b7 + x104 + x109 + x114 + x119 + x124 =E= 0;

e99..  - b12 + x105 + x110 + x115 + x120 + x125 =E= 0;

e100..  - b17 + x106 + x111 + x116 + x121 + x126 =E= 0;

e101..  - b23 + x127 + x132 + x137 + x142 + x147 =E= 0;

e102..  - b3 + x128 + x133 + x138 + x143 + x148 =E= 0;

e103..  - b8 + x129 + x134 + x139 + x144 + x149 =E= 0;

e104..  - b13 + x130 + x135 + x140 + x145 + x150 =E= 0;

e105..  - b18 + x131 + x136 + x141 + x146 + x151 =E= 0;

e106..  - b24 + x152 + x157 + x162 + x167 + x172 =E= 0;

e107..  - b4 + x153 + x158 + x163 + x168 + x173 =E= 0;

e108..  - b9 + x154 + x159 + x164 + x169 + x174 =E= 0;

e109..  - b14 + x155 + x160 + x165 + x170 + x175 =E= 0;

e110..  - b19 + x156 + x161 + x166 + x171 + x176 =E= 0;

e111..  - b25 + x177 + x182 + x187 + x192 + x197 =E= 0;

e112..  - b5 + x178 + x183 + x188 + x193 + x198 =E= 0;

e113..  - b10 + x179 + x184 + x189 + x194 + x199 =E= 0;

e114..  - b15 + x180 + x185 + x190 + x195 + x200 =E= 0;

e115..  - b20 + x181 + x186 + x191 + x196 + x201 =E= 0;

e116.. -(1013.33333333333*x26/x51 + 1013.33333333333*x27/x51 + 1013.33333333333
       *x28/x51 + 1013.33333333333*x29/x51 + 1013.33333333333*x30/x51 + 781.25*
       x31/x51 + 781.25*x32/x51 + 781.25*x33/x51 + 781.25*x34/x51 + 781.25*x35/
       x51 + 962.5*x36/x51 + 962.5*x37/x51 + 962.5*x38/x51 + 962.5*x39/x51 + 
       962.5*x40/x51 + 937.5*x41/x51 + 937.5*x42/x51 + 937.5*x43/x51 + 937.5*
       x44/x51 + 937.5*x45/x51 + 923.203125*x46/x51 + 923.203125*x47/x51 + 
       923.203125*x48/x51 + 923.203125*x49/x51 + 923.203125*x50/x51 - 1406.25*
       x82/x51 - 1406.25*x83/x51 - 1406.25*x84/x51 - 1406.25*x85/x51 - 1406.25*
       x86/x51 - 4331.25*x87/x51 - 4331.25*x88/x51 - 4331.25*x89/x51 - 4331.25*
       x90/x51 - 4331.25*x91/x51 - 3375*x92/x51 - 3375*x93/x51 - 3375*x94/x51
        - 3375*x95/x51 - 3375*x96/x51 - 4154.4140625*x97/x51 - 4154.4140625*x98
       /x51 - 4154.4140625*x99/x51 - 4154.4140625*x100/x51 - 4154.4140625*x101/
       x51 - 1824*x102/x51 - 1824*x103/x51 - 1824*x104/x51 - 1824*x105/x51 - 
       1824*x106/x51 - 2598.75*x112/x51 - 2598.75*x113/x51 - 2598.75*x114/x51
        - 2598.75*x115/x51 - 2598.75*x116/x51 - 1687.5*x117/x51 - 1687.5*x118/
       x51 - 1687.5*x119/x51 - 1687.5*x120/x51 - 1687.5*x121/x51 - 2492.6484375
       *x122/x51 - 2492.6484375*x123/x51 - 2492.6484375*x124/x51 - 2492.6484375
       *x125/x51 - 2492.6484375*x126/x51 - 4560*x127/x51 - 4560*x128/x51 - 4560
       *x129/x51 - 4560*x130/x51 - 4560*x131/x51 - 2109.375*x132/x51 - 2109.375
       *x133/x51 - 2109.375*x134/x51 - 2109.375*x135/x51 - 2109.375*x136/x51 - 
       1687.5*x142/x51 - 1687.5*x143/x51 - 1687.5*x144/x51 - 1687.5*x145/x51 - 
       1687.5*x146/x51 - 4985.296875*x147/x51 - 4985.296875*x148/x51 - 
       4985.296875*x149/x51 - 4985.296875*x150/x51 - 4985.296875*x151/x51 - 
       3648*x152/x51 - 3648*x153/x51 - 3648*x154/x51 - 3648*x155/x51 - 3648*
       x156/x51 - 1406.25*x157/x51 - 1406.25*x158/x51 - 1406.25*x159/x51 - 
       1406.25*x160/x51 - 1406.25*x161/x51 - 1732.5*x162/x51 - 1732.5*x163/x51
        - 1732.5*x164/x51 - 1732.5*x165/x51 - 1732.5*x166/x51 - 4154.4140625*
       x172/x51 - 4154.4140625*x173/x51 - 4154.4140625*x174/x51 - 4154.4140625*
       x175/x51 - 4154.4140625*x176/x51 - 4560*x177/x51 - 4560*x178/x51 - 4560*
       x179/x51 - 4560*x180/x51 - 4560*x181/x51 - 2109.375*x182/x51 - 2109.375*
       x183/x51 - 2109.375*x184/x51 - 2109.375*x185/x51 - 2109.375*x186/x51 - 
       5197.5*x187/x51 - 5197.5*x188/x51 - 5197.5*x189/x51 - 5197.5*x190/x51 - 
       5197.5*x191/x51 - 4218.75*x192/x51 - 4218.75*x193/x51 - 4218.75*x194/x51
        - 4218.75*x195/x51 - 4218.75*x196/x51 - (2500*x72/x51 + 2500*x73/x51 + 
       2500*x74/x51 + 2500*x75/x51 + 2500*x76/x51) + 3*x72 + 3*x73 + 3*x74 + 3*
       x75 + 3*x76) - 2.63768115942029*x52 - 2.63768115942029*x53
        - 2.63768115942029*x54 - 2.63768115942029*x55 - 2.63768115942029*x56
        - 2.81449275362319*x57 - 2.81449275362319*x58 - 2.81449275362319*x59
        - 2.81449275362319*x60 - 2.81449275362319*x61 - 2.88405797101449*x62
        - 2.88405797101449*x63 - 2.88405797101449*x64 - 2.88405797101449*x65
        - 2.88405797101449*x66 - 2.88405797101449*x67 - 2.88405797101449*x68
        - 2.88405797101449*x69 - 2.88405797101449*x70 - 2.88405797101449*x71
        - 100000*x202 - 100000*x203 - 100000*x204 - 100000*x205 + objvar =E= 0;

* set non-default bounds
x51.lo = 1; x51.up = 690;

* set non-default levels
b1.l = 1;
b7.l = 1;
b13.l = 1;
b19.l = 1;
b25.l = 1;
x51.l = 690;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;


Last updated: 2022-08-11 Git hash: f176bd52
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