MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance tls6

Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
24.70000000 p1 ( gdx sol )
(infeas: 0)
16.60000000 p2 ( gdx sol )
(infeas: 0)
15.30000000 p3 ( gdx sol )
(infeas: 0)
Other points (infeas > 1e-08)  
Dual Bounds
7.20000000 (ALPHAECP)
9.92916231 (ANTIGONE)
9.60000000 (BARON)
7.48599040 (BONMIN)
1.14218512 (COUENNE)
15.30000000 (GUROBI)
5.49616714 (LINDO)
10.25611161 (SCIP)
10.50000000 (SHOT)
References Harjunkoski, Iiro, Westerlund, Tapio, Pörn, Ray, and Skrifvars, Hans, Different Transformations for Solving Non-Convex Trim Loss Problems by MINLP, European Journal of Operational Research, 105:3, 1998, 594-603.
Source MacMINLP model trimlon.mod with trimloss2.dat
Application Trim loss minimization problem
Added to library 01 May 2001
Problem type MINLP
#Variables 215
#Binary Variables 173
#Integer Variables 6
#Nonlinear Variables 42
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 6
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 53
#Nonlinear Nonzeros in Objective 0
#Constraints 120
#Linear Constraints 114
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 6
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature convex
#Nonzeros in Jacobian 1316
#Nonlinear Nonzeros in Jacobian 72
#Nonzeros in (Upper-Left) Hessian of Lagrangian 114
#Nonzeros in Diagonal of Hessian of Lagrangian 42
#Blocks in Hessian of Lagrangian 6
Minimal blocksize in Hessian of Lagrangian 7
Maximal blocksize in Hessian of Lagrangian 7
Average blocksize in Hessian of Lagrangian 7.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e-01
Maximal coefficient 2.1500e+03
Infeasibility of initial point 2100
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
*        121       43        0       78        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        216       37      173        6        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1370     1298       72        0
*
*  Solve m using MINLP minimizing objvar;


Variables  b1,b2,b3,b4,b5,b6,i7,i8,i9,i10,i11,i12,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,b49,b50,b51,b52,b53
          ,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69,b70
          ,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86,b87
          ,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102,b103
          ,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115,b116
          ,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128,b129
          ,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141,b142
          ,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154,b155
          ,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167,b168
          ,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180,b181
          ,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193,b194
          ,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206,b207
          ,b208,b209,b210,b211,b212,b213,b214,b215,objvar;

Binary Variables  b1,b2,b3,b4,b5,b6,b49,b50,b51,b52,b53,b54,b55,b56,b57,b58
          ,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69,b70,b71,b72,b73,b74,b75
          ,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86,b87,b88,b89,b90,b91,b92
          ,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102,b103,b104,b105,b106,b107
          ,b108,b109,b110,b111,b112,b113,b114,b115,b116,b117,b118,b119,b120
          ,b121,b122,b123,b124,b125,b126,b127,b128,b129,b130,b131,b132,b133
          ,b134,b135,b136,b137,b138,b139,b140,b141,b142,b143,b144,b145,b146
          ,b147,b148,b149,b150,b151,b152,b153,b154,b155,b156,b157,b158,b159
          ,b160,b161,b162,b163,b164,b165,b166,b167,b168,b169,b170,b171,b172
          ,b173,b174,b175,b176,b177,b178,b179,b180,b181,b182,b183,b184,b185
          ,b186,b187,b188,b189,b190,b191,b192,b193,b194,b195,b196,b197,b198
          ,b199,b200,b201,b202,b203,b204,b205,b206,b207,b208,b209,b210,b211
          ,b212,b213,b214,b215;

Integer Variables  i7,i8,i9,i10,i11,i12;

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
          ,e117,e118,e119,e120,e121;


e1..  - 0.1*b1 - 0.2*b2 - 0.3*b3 - 0.4*b4 - 0.5*b5 - 0.6*b6 - b49 - 2*b50
      - 3*b51 - 4*b52 - 5*b53 - 6*b54 - 7*b55 - 8*b56 - 9*b57 - 10*b58 - 11*b59
      - 12*b60 - 13*b61 - 14*b62 - b63 - 2*b64 - 3*b65 - 4*b66 - 5*b67 - 6*b68
      - 7*b69 - 8*b70 - 9*b71 - 10*b72 - 11*b73 - 12*b74 - b75 - 2*b76 - 3*b77
      - 4*b78 - 5*b79 - 6*b80 - 7*b81 - 8*b82 - b83 - 2*b84 - 3*b85 - 4*b86
      - 5*b87 - 6*b88 - 7*b89 - b90 - 2*b91 - 3*b92 - 4*b93 - b94 - 2*b95
      + objvar =E= 0;

e2..    330*b96 + 660*b97 + 360*b108 + 720*b109 + 1080*b110 + 380*b126
      + 760*b127 + 1140*b128 + 430*b144 + 860*b145 + 1290*b146 + 1720*b147
      + 2150*b148 + 490*b174 + 980*b175 + 1470*b176 + 530*b192 + 1060*b193
      + 1590*b194 + 2120*b195 =L= 2200;

e3..    330*b98 + 660*b99 + 360*b111 + 720*b112 + 1080*b113 + 380*b129
      + 760*b130 + 1140*b131 + 430*b149 + 860*b150 + 1290*b151 + 1720*b152
      + 2150*b153 + 490*b177 + 980*b178 + 1470*b179 + 530*b196 + 1060*b197
      + 1590*b198 + 2120*b199 =L= 2200;

e4..    330*b100 + 660*b101 + 360*b114 + 720*b115 + 1080*b116 + 380*b132
      + 760*b133 + 1140*b134 + 430*b154 + 860*b155 + 1290*b156 + 1720*b157
      + 2150*b158 + 490*b180 + 980*b181 + 1470*b182 + 530*b200 + 1060*b201
      + 1590*b202 + 2120*b203 =L= 2200;

e5..    330*b102 + 660*b103 + 360*b117 + 720*b118 + 1080*b119 + 380*b135
      + 760*b136 + 1140*b137 + 430*b159 + 860*b160 + 1290*b161 + 1720*b162
      + 2150*b163 + 490*b183 + 980*b184 + 1470*b185 + 530*b204 + 1060*b205
      + 1590*b206 + 2120*b207 =L= 2200;

e6..    330*b104 + 660*b105 + 360*b120 + 720*b121 + 1080*b122 + 380*b138
      + 760*b139 + 1140*b140 + 430*b164 + 860*b165 + 1290*b166 + 1720*b167
      + 2150*b168 + 490*b186 + 980*b187 + 1470*b188 + 530*b208 + 1060*b209
      + 1590*b210 + 2120*b211 =L= 2200;

e7..    330*b106 + 660*b107 + 360*b123 + 720*b124 + 1080*b125 + 380*b141
      + 760*b142 + 1140*b143 + 430*b169 + 860*b170 + 1290*b171 + 1720*b172
      + 2150*b173 + 490*b189 + 980*b190 + 1470*b191 + 530*b212 + 1060*b213
      + 1590*b214 + 2120*b215 =L= 2200;

e8..  - 330*b96 - 660*b97 - 360*b108 - 720*b109 - 1080*b110 - 380*b126
      - 760*b127 - 1140*b128 - 430*b144 - 860*b145 - 1290*b146 - 1720*b147
      - 2150*b148 - 490*b174 - 980*b175 - 1470*b176 - 530*b192 - 1060*b193
      - 1590*b194 - 2120*b195 =L= -2100;

e9..  - 330*b98 - 660*b99 - 360*b111 - 720*b112 - 1080*b113 - 380*b129
      - 760*b130 - 1140*b131 - 430*b149 - 860*b150 - 1290*b151 - 1720*b152
      - 2150*b153 - 490*b177 - 980*b178 - 1470*b179 - 530*b196 - 1060*b197
      - 1590*b198 - 2120*b199 =L= -2100;

e10..  - 330*b100 - 660*b101 - 360*b114 - 720*b115 - 1080*b116 - 380*b132
       - 760*b133 - 1140*b134 - 430*b154 - 860*b155 - 1290*b156 - 1720*b157
       - 2150*b158 - 490*b180 - 980*b181 - 1470*b182 - 530*b200 - 1060*b201
       - 1590*b202 - 2120*b203 =L= -2100;

e11..  - 330*b102 - 660*b103 - 360*b117 - 720*b118 - 1080*b119 - 380*b135
       - 760*b136 - 1140*b137 - 430*b159 - 860*b160 - 1290*b161 - 1720*b162
       - 2150*b163 - 490*b183 - 980*b184 - 1470*b185 - 530*b204 - 1060*b205
       - 1590*b206 - 2120*b207 =L= -2100;

e12..  - 330*b104 - 660*b105 - 360*b120 - 720*b121 - 1080*b122 - 380*b138
       - 760*b139 - 1140*b140 - 430*b164 - 860*b165 - 1290*b166 - 1720*b167
       - 2150*b168 - 490*b186 - 980*b187 - 1470*b188 - 530*b208 - 1060*b209
       - 1590*b210 - 2120*b211 =L= -2100;

e13..  - 330*b106 - 660*b107 - 360*b123 - 720*b124 - 1080*b125 - 380*b141
       - 760*b142 - 1140*b143 - 430*b169 - 860*b170 - 1290*b171 - 1720*b172
       - 2150*b173 - 490*b189 - 980*b190 - 1470*b191 - 530*b212 - 1060*b213
       - 1590*b214 - 2120*b215 =L= -2100;

e14..    b96 + 2*b97 + b108 + 2*b109 + 3*b110 + b126 + 2*b127 + 3*b128 + b144
       + 2*b145 + 3*b146 + 4*b147 + 5*b148 + b174 + 2*b175 + 3*b176 + b192
       + 2*b193 + 3*b194 + 4*b195 =L= 5;

e15..    b98 + 2*b99 + b111 + 2*b112 + 3*b113 + b129 + 2*b130 + 3*b131 + b149
       + 2*b150 + 3*b151 + 4*b152 + 5*b153 + b177 + 2*b178 + 3*b179 + b196
       + 2*b197 + 3*b198 + 4*b199 =L= 5;

e16..    b100 + 2*b101 + b114 + 2*b115 + 3*b116 + b132 + 2*b133 + 3*b134 + b154
       + 2*b155 + 3*b156 + 4*b157 + 5*b158 + b180 + 2*b181 + 3*b182 + b200
       + 2*b201 + 3*b202 + 4*b203 =L= 5;

e17..    b102 + 2*b103 + b117 + 2*b118 + 3*b119 + b135 + 2*b136 + 3*b137 + b159
       + 2*b160 + 3*b161 + 4*b162 + 5*b163 + b183 + 2*b184 + 3*b185 + b204
       + 2*b205 + 3*b206 + 4*b207 =L= 5;

e18..    b104 + 2*b105 + b120 + 2*b121 + 3*b122 + b138 + 2*b139 + 3*b140 + b164
       + 2*b165 + 3*b166 + 4*b167 + 5*b168 + b186 + 2*b187 + 3*b188 + b208
       + 2*b209 + 3*b210 + 4*b211 =L= 5;

e19..    b106 + 2*b107 + b123 + 2*b124 + 3*b125 + b141 + 2*b142 + 3*b143 + b169
       + 2*b170 + 3*b171 + 4*b172 + 5*b173 + b189 + 2*b190 + 3*b191 + b212
       + 2*b213 + 3*b214 + 4*b215 =L= 5;

e20..    b1 - b49 - 2*b50 - 3*b51 - 4*b52 - 5*b53 - 6*b54 - 7*b55 - 8*b56
       - 9*b57 - 10*b58 - 11*b59 - 12*b60 - 13*b61 - 14*b62 =L= 0;

e21..    b2 - b63 - 2*b64 - 3*b65 - 4*b66 - 5*b67 - 6*b68 - 7*b69 - 8*b70
       - 9*b71 - 10*b72 - 11*b73 - 12*b74 =L= 0;

e22..    b3 - b75 - 2*b76 - 3*b77 - 4*b78 - 5*b79 - 6*b80 - 7*b81 - 8*b82 =L= 0
      ;

e23..    b4 - b83 - 2*b84 - 3*b85 - 4*b86 - 5*b87 - 6*b88 - 7*b89 =L= 0;

e24..    b5 - b90 - 2*b91 - 3*b92 - 4*b93 =L= 0;

e25..    b6 - b94 - 2*b95 =L= 0;

e26..  - 14*b1 + b49 + 2*b50 + 3*b51 + 4*b52 + 5*b53 + 6*b54 + 7*b55 + 8*b56
       + 9*b57 + 10*b58 + 11*b59 + 12*b60 + 13*b61 + 14*b62 =L= 0;

e27..  - 12*b2 + b63 + 2*b64 + 3*b65 + 4*b66 + 5*b67 + 6*b68 + 7*b69 + 8*b70
       + 9*b71 + 10*b72 + 11*b73 + 12*b74 =L= 0;

e28..  - 8*b3 + b75 + 2*b76 + 3*b77 + 4*b78 + 5*b79 + 6*b80 + 7*b81 + 8*b82
       =L= 0;

e29..  - 7*b4 + b83 + 2*b84 + 3*b85 + 4*b86 + 5*b87 + 6*b88 + 7*b89 =L= 0;

e30..  - 4*b5 + b90 + 2*b91 + 3*b92 + 4*b93 =L= 0;

e31..  - 2*b6 + b94 + 2*b95 =L= 0;

e32..    i7 - 3*b49 - 8*b50 - 15*b51 - 24*b52 - 35*b53 - 48*b54 - 63*b55
       - 80*b56 - 99*b57 - 120*b58 - 143*b59 - 168*b60 - 195*b61 - 224*b62
       =E= 1;

e33..    i8 - 3*b63 - 8*b64 - 15*b65 - 24*b66 - 35*b67 - 48*b68 - 63*b69
       - 80*b70 - 99*b71 - 120*b72 - 143*b73 - 168*b74 =E= 1;

e34..    i9 - 3*b75 - 8*b76 - 15*b77 - 24*b78 - 35*b79 - 48*b80 - 63*b81
       - 80*b82 =E= 1;

e35..    i10 - 3*b83 - 8*b84 - 15*b85 - 24*b86 - 35*b87 - 48*b88 - 63*b89 =E= 1
      ;

e36..    i11 - 3*b90 - 8*b91 - 15*b92 - 24*b93 =E= 1;

e37..    i12 - 3*b94 - 8*b95 =E= 1;

e38..    b49 + b50 + b51 + b52 + b53 + b54 + b55 + b56 + b57 + b58 + b59 + b60
       + b61 + b62 =L= 1;

e39..    b63 + b64 + b65 + b66 + b67 + b68 + b69 + b70 + b71 + b72 + b73 + b74
       =L= 1;

e40..    b75 + b76 + b77 + b78 + b79 + b80 + b81 + b82 =L= 1;

e41..    b83 + b84 + b85 + b86 + b87 + b88 + b89 =L= 1;

e42..    b90 + b91 + b92 + b93 =L= 1;

e43..    b94 + b95 =L= 1;

e44..    x13 - 3*b96 - 8*b97 =E= 1;

e45..    x14 - 3*b98 - 8*b99 =E= 1;

e46..    x15 - 3*b100 - 8*b101 =E= 1;

e47..    x16 - 3*b102 - 8*b103 =E= 1;

e48..    x17 - 3*b104 - 8*b105 =E= 1;

e49..    x18 - 3*b106 - 8*b107 =E= 1;

e50..    x19 - 3*b108 - 8*b109 - 15*b110 =E= 1;

e51..    x20 - 3*b111 - 8*b112 - 15*b113 =E= 1;

e52..    x21 - 3*b114 - 8*b115 - 15*b116 =E= 1;

e53..    x22 - 3*b117 - 8*b118 - 15*b119 =E= 1;

e54..    x23 - 3*b120 - 8*b121 - 15*b122 =E= 1;

e55..    x24 - 3*b123 - 8*b124 - 15*b125 =E= 1;

e56..    x25 - 3*b126 - 8*b127 - 15*b128 =E= 1;

e57..    x26 - 3*b129 - 8*b130 - 15*b131 =E= 1;

e58..    x27 - 3*b132 - 8*b133 - 15*b134 =E= 1;

e59..    x28 - 3*b135 - 8*b136 - 15*b137 =E= 1;

e60..    x29 - 3*b138 - 8*b139 - 15*b140 =E= 1;

e61..    x30 - 3*b141 - 8*b142 - 15*b143 =E= 1;

e62..    x31 - 3*b144 - 8*b145 - 15*b146 - 24*b147 - 35*b148 =E= 1;

e63..    x32 - 3*b149 - 8*b150 - 15*b151 - 24*b152 - 35*b153 =E= 1;

e64..    x33 - 3*b154 - 8*b155 - 15*b156 - 24*b157 - 35*b158 =E= 1;

e65..    x34 - 3*b159 - 8*b160 - 15*b161 - 24*b162 - 35*b163 =E= 1;

e66..    x35 - 3*b164 - 8*b165 - 15*b166 - 24*b167 - 35*b168 =E= 1;

e67..    x36 - 3*b169 - 8*b170 - 15*b171 - 24*b172 - 35*b173 =E= 1;

e68..    x37 - 3*b174 - 8*b175 - 15*b176 =E= 1;

e69..    x38 - 3*b177 - 8*b178 - 15*b179 =E= 1;

e70..    x39 - 3*b180 - 8*b181 - 15*b182 =E= 1;

e71..    x40 - 3*b183 - 8*b184 - 15*b185 =E= 1;

e72..    x41 - 3*b186 - 8*b187 - 15*b188 =E= 1;

e73..    x42 - 3*b189 - 8*b190 - 15*b191 =E= 1;

e74..    x43 - 3*b192 - 8*b193 - 15*b194 - 24*b195 =E= 1;

e75..    x44 - 3*b196 - 8*b197 - 15*b198 - 24*b199 =E= 1;

e76..    x45 - 3*b200 - 8*b201 - 15*b202 - 24*b203 =E= 1;

e77..    x46 - 3*b204 - 8*b205 - 15*b206 - 24*b207 =E= 1;

e78..    x47 - 3*b208 - 8*b209 - 15*b210 - 24*b211 =E= 1;

e79..    x48 - 3*b212 - 8*b213 - 15*b214 - 24*b215 =E= 1;

e80..    b96 + b97 =L= 1;

e81..    b98 + b99 =L= 1;

e82..    b100 + b101 =L= 1;

e83..    b102 + b103 =L= 1;

e84..    b104 + b105 =L= 1;

e85..    b106 + b107 =L= 1;

e86..    b108 + b109 + b110 =L= 1;

e87..    b111 + b112 + b113 =L= 1;

e88..    b114 + b115 + b116 =L= 1;

e89..    b117 + b118 + b119 =L= 1;

e90..    b120 + b121 + b122 =L= 1;

e91..    b123 + b124 + b125 =L= 1;

e92..    b126 + b127 + b128 =L= 1;

e93..    b129 + b130 + b131 =L= 1;

e94..    b132 + b133 + b134 =L= 1;

e95..    b135 + b136 + b137 =L= 1;

e96..    b138 + b139 + b140 =L= 1;

e97..    b141 + b142 + b143 =L= 1;

e98..    b144 + b145 + b146 + b147 + b148 =L= 1;

e99..    b149 + b150 + b151 + b152 + b153 =L= 1;

e100..    b154 + b155 + b156 + b157 + b158 =L= 1;

e101..    b159 + b160 + b161 + b162 + b163 =L= 1;

e102..    b164 + b165 + b166 + b167 + b168 =L= 1;

e103..    b169 + b170 + b171 + b172 + b173 =L= 1;

e104..    b174 + b175 + b176 =L= 1;

e105..    b177 + b178 + b179 =L= 1;

e106..    b180 + b181 + b182 =L= 1;

e107..    b183 + b184 + b185 =L= 1;

e108..    b186 + b187 + b188 =L= 1;

e109..    b189 + b190 + b191 =L= 1;

e110..    b192 + b193 + b194 + b195 =L= 1;

e111..    b196 + b197 + b198 + b199 =L= 1;

e112..    b200 + b201 + b202 + b203 =L= 1;

e113..    b204 + b205 + b206 + b207 =L= 1;

e114..    b208 + b209 + b210 + b211 =L= 1;

e115..    b212 + b213 + b214 + b215 =L= 1;

e116.. -(sqrt(i7*x13) + sqrt(i8*x14) + sqrt(i9*x15) + sqrt(i10*x16) + sqrt(i11*
       x17) + sqrt(i12*x18)) + b49 + 2*b50 + 3*b51 + 4*b52 + 5*b53 + 6*b54
        + 7*b55 + 8*b56 + 9*b57 + 10*b58 + 11*b59 + 12*b60 + 13*b61 + 14*b62
        + b63 + 2*b64 + 3*b65 + 4*b66 + 5*b67 + 6*b68 + 7*b69 + 8*b70 + 9*b71
        + 10*b72 + 11*b73 + 12*b74 + b75 + 2*b76 + 3*b77 + 4*b78 + 5*b79
        + 6*b80 + 7*b81 + 8*b82 + b83 + 2*b84 + 3*b85 + 4*b86 + 5*b87 + 6*b88
        + 7*b89 + b90 + 2*b91 + 3*b92 + 4*b93 + b94 + 2*b95 + b96 + 2*b97 + b98
        + 2*b99 + b100 + 2*b101 + b102 + 2*b103 + b104 + 2*b105 + b106 + 2*b107
        =L= -14;

e117.. -(sqrt(i7*x19) + sqrt(i8*x20) + sqrt(i9*x21) + sqrt(i10*x22) + sqrt(i11*
       x23) + sqrt(i12*x24)) + b49 + 2*b50 + 3*b51 + 4*b52 + 5*b53 + 6*b54
        + 7*b55 + 8*b56 + 9*b57 + 10*b58 + 11*b59 + 12*b60 + 13*b61 + 14*b62
        + b63 + 2*b64 + 3*b65 + 4*b66 + 5*b67 + 6*b68 + 7*b69 + 8*b70 + 9*b71
        + 10*b72 + 11*b73 + 12*b74 + b75 + 2*b76 + 3*b77 + 4*b78 + 5*b79
        + 6*b80 + 7*b81 + 8*b82 + b83 + 2*b84 + 3*b85 + 4*b86 + 5*b87 + 6*b88
        + 7*b89 + b90 + 2*b91 + 3*b92 + 4*b93 + b94 + 2*b95 + b108 + 2*b109
        + 3*b110 + b111 + 2*b112 + 3*b113 + b114 + 2*b115 + 3*b116 + b117
        + 2*b118 + 3*b119 + b120 + 2*b121 + 3*b122 + b123 + 2*b124 + 3*b125
        =L= -22;

e118.. -(sqrt(i7*x25) + sqrt(i8*x26) + sqrt(i9*x27) + sqrt(i10*x28) + sqrt(i11*
       x29) + sqrt(i12*x30)) + b49 + 2*b50 + 3*b51 + 4*b52 + 5*b53 + 6*b54
        + 7*b55 + 8*b56 + 9*b57 + 10*b58 + 11*b59 + 12*b60 + 13*b61 + 14*b62
        + b63 + 2*b64 + 3*b65 + 4*b66 + 5*b67 + 6*b68 + 7*b69 + 8*b70 + 9*b71
        + 10*b72 + 11*b73 + 12*b74 + b75 + 2*b76 + 3*b77 + 4*b78 + 5*b79
        + 6*b80 + 7*b81 + 8*b82 + b83 + 2*b84 + 3*b85 + 4*b86 + 5*b87 + 6*b88
        + 7*b89 + b90 + 2*b91 + 3*b92 + 4*b93 + b94 + 2*b95 + b126 + 2*b127
        + 3*b128 + b129 + 2*b130 + 3*b131 + b132 + 2*b133 + 3*b134 + b135
        + 2*b136 + 3*b137 + b138 + 2*b139 + 3*b140 + b141 + 2*b142 + 3*b143
        =L= -18;

e119.. -(sqrt(i7*x31) + sqrt(i8*x32) + sqrt(i9*x33) + sqrt(i10*x34) + sqrt(i11*
       x35) + sqrt(i12*x36)) + b49 + 2*b50 + 3*b51 + 4*b52 + 5*b53 + 6*b54
        + 7*b55 + 8*b56 + 9*b57 + 10*b58 + 11*b59 + 12*b60 + 13*b61 + 14*b62
        + b63 + 2*b64 + 3*b65 + 4*b66 + 5*b67 + 6*b68 + 7*b69 + 8*b70 + 9*b71
        + 10*b72 + 11*b73 + 12*b74 + b75 + 2*b76 + 3*b77 + 4*b78 + 5*b79
        + 6*b80 + 7*b81 + 8*b82 + b83 + 2*b84 + 3*b85 + 4*b86 + 5*b87 + 6*b88
        + 7*b89 + b90 + 2*b91 + 3*b92 + 4*b93 + b94 + 2*b95 + b144 + 2*b145
        + 3*b146 + 4*b147 + 5*b148 + b149 + 2*b150 + 3*b151 + 4*b152 + 5*b153
        + b154 + 2*b155 + 3*b156 + 4*b157 + 5*b158 + b159 + 2*b160 + 3*b161
        + 4*b162 + 5*b163 + b164 + 2*b165 + 3*b166 + 4*b167 + 5*b168 + b169
        + 2*b170 + 3*b171 + 4*b172 + 5*b173 =L= -13;

e120.. -(sqrt(i7*x37) + sqrt(i8*x38) + sqrt(i9*x39) + sqrt(i10*x40) + sqrt(i11*
       x41) + sqrt(i12*x42)) + b49 + 2*b50 + 3*b51 + 4*b52 + 5*b53 + 6*b54
        + 7*b55 + 8*b56 + 9*b57 + 10*b58 + 11*b59 + 12*b60 + 13*b61 + 14*b62
        + b63 + 2*b64 + 3*b65 + 4*b66 + 5*b67 + 6*b68 + 7*b69 + 8*b70 + 9*b71
        + 10*b72 + 11*b73 + 12*b74 + b75 + 2*b76 + 3*b77 + 4*b78 + 5*b79
        + 6*b80 + 7*b81 + 8*b82 + b83 + 2*b84 + 3*b85 + 4*b86 + 5*b87 + 6*b88
        + 7*b89 + b90 + 2*b91 + 3*b92 + 4*b93 + b94 + 2*b95 + b174 + 2*b175
        + 3*b176 + b177 + 2*b178 + 3*b179 + b180 + 2*b181 + 3*b182 + b183
        + 2*b184 + 3*b185 + b186 + 2*b187 + 3*b188 + b189 + 2*b190 + 3*b191
        =L= -20;

e121.. -(sqrt(i7*x43) + sqrt(i8*x44) + sqrt(i9*x45) + sqrt(i10*x46) + sqrt(i11*
       x47) + sqrt(i12*x48)) + b49 + 2*b50 + 3*b51 + 4*b52 + 5*b53 + 6*b54
        + 7*b55 + 8*b56 + 9*b57 + 10*b58 + 11*b59 + 12*b60 + 13*b61 + 14*b62
        + b63 + 2*b64 + 3*b65 + 4*b66 + 5*b67 + 6*b68 + 7*b69 + 8*b70 + 9*b71
        + 10*b72 + 11*b73 + 12*b74 + b75 + 2*b76 + 3*b77 + 4*b78 + 5*b79
        + 6*b80 + 7*b81 + 8*b82 + b83 + 2*b84 + 3*b85 + 4*b86 + 5*b87 + 6*b88
        + 7*b89 + b90 + 2*b91 + 3*b92 + 4*b93 + b94 + 2*b95 + b192 + 2*b193
        + 3*b194 + 4*b195 + b196 + 2*b197 + 3*b198 + 4*b199 + b200 + 2*b201
        + 3*b202 + 4*b203 + b204 + 2*b205 + 3*b206 + 4*b207 + b208 + 2*b209
        + 3*b210 + 4*b211 + b212 + 2*b213 + 3*b214 + 4*b215 =L= -22;

* set non-default bounds
i7.lo = 1; i7.up = 100;
i8.lo = 1; i8.up = 100;
i9.lo = 1; i9.up = 100;
i10.lo = 1; i10.up = 100;
i11.lo = 1; i11.up = 100;
i12.lo = 1; i12.up = 100;
x13.lo = 1;
x14.lo = 1;
x15.lo = 1;
x16.lo = 1;
x17.lo = 1;
x18.lo = 1;
x19.lo = 1;
x20.lo = 1;
x21.lo = 1;
x22.lo = 1;
x23.lo = 1;
x24.lo = 1;
x25.lo = 1;
x26.lo = 1;
x27.lo = 1;
x28.lo = 1;
x29.lo = 1;
x30.lo = 1;
x31.lo = 1;
x32.lo = 1;
x33.lo = 1;
x34.lo = 1;
x35.lo = 1;
x36.lo = 1;
x37.lo = 1;
x38.lo = 1;
x39.lo = 1;
x40.lo = 1;
x41.lo = 1;
x42.lo = 1;
x43.lo = 1;
x44.lo = 1;
x45.lo = 1;
x46.lo = 1;
x47.lo = 1;
x48.lo = 1;

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: 2022-05-24 Git hash: 1198c186
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