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QPLIB_3697

Formats gms lp mod qplib
Problem type probtype LMQ
Solution point objective value solobjvalue 832795.58530000 (gdx, sol)
Solution point infeasibility solinfeasibility 8.8818e-16
Donor donor Stefan Vigerske
#Variables nvars 200
#Binary Variables nbinvars 168
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 0
#Variables with only one bound nsingleboundedvars 32
#Nonlinear Variables nnlvars 56
#Nonlinear Binary Variables nnlbinvars 24
#Nonlinear Integer Variables nnlintvars 0
Objective Sense objsense min
Objective type objtype linear
Objective curvature objcurvature linear
#Negative eigenvalues in objective matrix nobjquadnegev  
#Positive eigenvalues in objective matrix nobjquadposev  
#Nonzeros in Objective nobjnz 176
#Nonlinear Nonzeros in Objective nobjnlnz 0
#Quadratic Terms in Objective nobjquadnz 0
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 82
#Linear Constraints nlincons 58
#Quadratic Constraints nquadcons 24
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature indefinite
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 24
#Nonzeros in Jacobian njacobiannz 456
#Nonlinear Nonzeros in Jacobian njacobiannlnz 72
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 144
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#Blocks in Hessian of Lagrangian nlaghessianblocks 8
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 7
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 7
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 7.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_3697.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*         83       27        0       56        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        201       33      168        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        633      561       72        0
*
*  Solve m using MIQCP minimizing objvar;


Variables  objvar,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,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,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,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;

Positive Variables  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;

Binary Variables  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,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,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;

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;


e1..  - objvar + 552.2811455*b2 + 426.2362093*b3 + 411.0274241*b4
      + 466.6886906*b5 + 288.3172509*b6 + 590.1824682*b7 + 381.0178593*b8
      + 572.544284*b9 + 433.1074247*b10 + 429.2894698*b11 + 722.101049*b12
      + 30.09526491*b13 + 408.6637347*b14 + 327.1449611*b15 + 408.8725835*b16
      + 371.2296068*b17 + 743.2318303*b18 + 424.1233883*b19 + 1012.594837*b20
      + 325.0680164*b21 + 489.8292006*b22 + 616.3923676*b23 + 717.3761212*b24
      + 671.4970742*b25 + 333.2430334*b26 + 469.2124526*b27 + 55.31015213*b28
      + 439.0785496*b29 + 397.9546285*b30 + 404.7544767*b31 + 260.5831141*b32
      + 374.6617287*b33 + 705.8651143*b34 + 409.2607964*b35 + 941.1215122*b36
      + 352.661317*b37 + 478.410844*b38 + 592.8643758*b39 + 688.8045878*b40
      + 642.1370511*b41 + 675.3749422*b42 + 537.3279768*b43 + 326.2703847*b44
      + 667.5877919*b45 + 430.8792461*b46 + 741.3173441*b47 + 525.3778822*b48
      + 713.7345016*b49 + 449.4782077*b50 + 590.6560363*b51 + 825.3576066*b52
      + 234.5461683*b53 + 591.4620844*b54 + 311.1093677*b55 + 500.9341503*b56
      + 370.7914855*b57 + 344.0583718*b58 + 204.3797318*b59 + 212.615335*b60
      + 304.0781437*b61 + 160.0847371*b62 + 363.6794674*b63 + 273.136823*b64
      + 355.5638063*b65 + 194.046191*b66 + 99.00107151*b67 + 250.5987256*b68
      + 67.66696052*b69 + 88.24211481*b70 + 169.700774*b71 + 163.6184136*b72
      + 179.6224431*b73 + 503.0683277*b74 + 179.2012972*b75 + 414.2853199*b76
      + 359.1348438*b77 + 90.97384165*b78 + 505.3344302*b79 + 394.341605*b80
      + 504.1826737*b81 + 232.7423651*b82 + 707.6964709*b83 + 710.4487763*b84
      + 250.5625148*b85 + 650.2384406*b86 + 77.11705727*b87 + 312.63367*b88
      + 142.2694507*b89 + 153.0227761*b90 + 551.1479199*b91 + 287.8310021*b92
      + 336.7829376*b93 + 463.7015482*b94 + 241.6111966*b95 + 24.16392139*b96
      + 200.6438303*b97 + 376.0979903*b98 + 154.6005941*b99 + 278.6459933*b100
      + 295.429713*b101 + 113.9459558*b102 + 383.9623469*b103
      + 302.6510554*b104 + 380.8139141*b105 + 773.1982882*b106
      + 265.0474768*b107 + 632.4653177*b108 + 586.7911119*b109
      + 260.0826388*b110 + 769.3546888*b111 + 657.0065663*b112
      + 771.8614278*b113 + 540.8851727*b114 + 560.5944908*b115
      + 890.4888803*b116 + 259.9424827*b117 + 580.7563363*b118
      + 404.5167397*b119 + 574.7396785*b120 + 463.5358981*b121
      + 245.7857487*b122 + 872.2505064*b123 + 704.3778041*b124
      + 481.5415764*b125 + 814.5631958*b126 + 217.6456326*b127
      + 397.5235277*b128 + 215.2788784*b129 + 660.6893222*b130
      + 766.3895262*b131 + 160.2479652*b132 + 779.8374333*b133
      + 633.9583052*b134 + 773.2285754*b135 + 502.3417725*b136
      + 725.8633867*b137 + 443.2640317*b138 + 135.166266*b139
      + 513.7706623*b140 + 239.3913203*b141 + 194.3361515*b142
      + 395.0433866*b143 + 407.6389108*b144 + 416.1705409*b145
      + 268.2271523*b146 + 101.8417454*b147 + 66.5583916*b148 + 327.416664*b149
      + 113.0930596*b150 + 70.4966308*b151 + 318.9103177*b152
      + 106.0164406*b153 + 64.83210384*b154 + 354.2097127*b155
      + 116.7872248*b156 + 71.12582097*b157 + 409.67052*b158 + 127.1891459*b159
      + 75.1660703*b160 + 440.1576845*b161 + 133.5881802*b162
      + 78.05700518*b163 + 422.3633372*b164 + 136.7724179*b165
      + 82.55038075*b166 + 437.4792468*b167 + 131.97451*b168 + 76.88122564*b169
      + 101259.4837*x170 + 101259.4837*x171 + 101259.4837*x172
      + 101259.4837*x173 + 101259.4837*x174 + 101259.4837*x175
      + 101259.4837*x176 + 101259.4837*x177 =E= 0;

e2..    1.465020132*b2 + 1.359734944*b10 + 1.421554108*b18 + 0.749119501*b26
      + 1.211666119*b34 + 1.222030951*b42 + 1.224720338*b50 + 0.583392775*b58
      + 0.507387528*b66 + 1.007181208*b74 + 1.448218778*b82 + 1.128698856*b90
      + 0.64088422*b98 + 1.073533103*b106 + 1.242005841*b114 + 1.242671696*b122
      + 1.400550697*b130 + 0.704652931*b138 - 1.835102762*x178
      - 3.670205525*x179 - 5.505308287*x180 =E= 0;

e3..    1.465020132*b3 + 1.359734944*b11 + 1.421554108*b19 + 0.749119501*b27
      + 1.211666119*b35 + 1.222030951*b43 + 1.224720338*b51 + 0.583392775*b59
      + 0.507387528*b67 + 1.007181208*b75 + 1.448218778*b83 + 1.128698856*b91
      + 0.64088422*b99 + 1.073533103*b107 + 1.242005841*b115 + 1.242671696*b123
      + 1.400550697*b131 + 0.704652931*b139 - 1.686527529*x181
      - 3.373055057*x182 - 5.059582586*x183 =E= 0;

e4..    1.465020132*b4 + 1.359734944*b12 + 1.421554108*b20 + 0.749119501*b28
      + 1.211666119*b36 + 1.222030951*b44 + 1.224720338*b52 + 0.583392775*b60
      + 0.507387528*b68 + 1.007181208*b76 + 1.448218778*b84 + 1.128698856*b92
      + 0.64088422*b100 + 1.073533103*b108 + 1.242005841*b116
      + 1.242671696*b124 + 1.400550697*b132 + 0.704652931*b140
      - 1.464431797*x184 - 2.928863594*x185 - 4.393295391*x186 =E= 0;

e5..    1.465020132*b5 + 1.359734944*b13 + 1.421554108*b21 + 0.749119501*b29
      + 1.211666119*b37 + 1.222030951*b45 + 1.224720338*b53 + 0.583392775*b61
      + 0.507387528*b69 + 1.007181208*b77 + 1.448218778*b85 + 1.128698856*b93
      + 0.64088422*b101 + 1.073533103*b109 + 1.242005841*b117
      + 1.242671696*b125 + 1.400550697*b133 + 0.704652931*b141
      - 1.586907488*x187 - 3.173814975*x188 - 4.760722463*x189 =E= 0;

e6..    1.465020132*b6 + 1.359734944*b14 + 1.421554108*b22 + 0.749119501*b30
      + 1.211666119*b38 + 1.222030951*b46 + 1.224720338*b54 + 0.583392775*b62
      + 0.507387528*b70 + 1.007181208*b78 + 1.448218778*b86 + 1.128698856*b94
      + 0.64088422*b102 + 1.073533103*b110 + 1.242005841*b118
      + 1.242671696*b126 + 1.400550697*b134 + 0.704652931*b142
      - 1.532379979*x190 - 3.064759957*x191 - 4.597139936*x192 =E= 0;

e7..    1.465020132*b7 + 1.359734944*b15 + 1.421554108*b23 + 0.749119501*b31
      + 1.211666119*b39 + 1.222030951*b47 + 1.224720338*b55 + 0.583392775*b63
      + 0.507387528*b71 + 1.007181208*b79 + 1.448218778*b87 + 1.128698856*b95
      + 0.64088422*b103 + 1.073533103*b111 + 1.242005841*b119
      + 1.242671696*b127 + 1.400550697*b135 + 0.704652931*b143
      - 1.538058916*x193 - 3.076117831*x194 - 4.614176747*x195 =E= 0;

e8..    1.465020132*b8 + 1.359734944*b16 + 1.421554108*b24 + 0.749119501*b32
      + 1.211666119*b40 + 1.222030951*b48 + 1.224720338*b56 + 0.583392775*b64
      + 0.507387528*b72 + 1.007181208*b80 + 1.448218778*b88 + 1.128698856*b96
      + 0.64088422*b104 + 1.073533103*b112 + 1.242005841*b120
      + 1.242671696*b128 + 1.400550697*b136 + 0.704652931*b144
      - 1.792707516*x196 - 3.585415032*x197 - 5.378122548*x198 =E= 0;

e9..    1.465020132*b9 + 1.359734944*b17 + 1.421554108*b25 + 0.749119501*b33
      + 1.211666119*b41 + 1.222030951*b49 + 1.224720338*b57 + 0.583392775*b65
      + 0.507387528*b73 + 1.007181208*b81 + 1.448218778*b89 + 1.128698856*b97
      + 0.64088422*b105 + 1.073533103*b113 + 1.242005841*b121
      + 1.242671696*b129 + 1.400550697*b137 + 0.704652931*b145
      - 1.501207175*x199 - 3.002414349*x200 - 4.503621524*x201 =E= 0;

e10..    b2 + b3 + b4 + b5 + b6 + b7 + b8 + b9 =E= 1;

e11..    b10 + b11 + b12 + b13 + b14 + b15 + b16 + b17 =E= 1;

e12..    b18 + b19 + b20 + b21 + b22 + b23 + b24 + b25 =E= 1;

e13..    b26 + b27 + b28 + b29 + b30 + b31 + b32 + b33 =E= 1;

e14..    b34 + b35 + b36 + b37 + b38 + b39 + b40 + b41 =E= 1;

e15..    b42 + b43 + b44 + b45 + b46 + b47 + b48 + b49 =E= 1;

e16..    b50 + b51 + b52 + b53 + b54 + b55 + b56 + b57 =E= 1;

e17..    b58 + b59 + b60 + b61 + b62 + b63 + b64 + b65 =E= 1;

e18..    b66 + b67 + b68 + b69 + b70 + b71 + b72 + b73 =E= 1;

e19..    b74 + b75 + b76 + b77 + b78 + b79 + b80 + b81 =E= 1;

e20..    b82 + b83 + b84 + b85 + b86 + b87 + b88 + b89 =E= 1;

e21..    b90 + b91 + b92 + b93 + b94 + b95 + b96 + b97 =E= 1;

e22..    b98 + b99 + b100 + b101 + b102 + b103 + b104 + b105 =E= 1;

e23..    b106 + b107 + b108 + b109 + b110 + b111 + b112 + b113 =E= 1;

e24..    b114 + b115 + b116 + b117 + b118 + b119 + b120 + b121 =E= 1;

e25..    b122 + b123 + b124 + b125 + b126 + b127 + b128 + b129 =E= 1;

e26..    b130 + b131 + b132 + b133 + b134 + b135 + b136 + b137 =E= 1;

e27..    b138 + b139 + b140 + b141 + b142 + b143 + b144 + b145 =E= 1;

e28..    b146 + b147 + b148 =L= 1;

e29..    b149 + b150 + b151 =L= 1;

e30..    b152 + b153 + b154 =L= 1;

e31..    b155 + b156 + b157 =L= 1;

e32..    b158 + b159 + b160 =L= 1;

e33..    b161 + b162 + b163 =L= 1;

e34..    b164 + b165 + b166 =L= 1;

e35..    b167 + b168 + b169 =L= 1;

e36..  - b146 + x178 =L= 0;

e37..  - b147 + x179 =L= 0;

e38..  - b148 + x180 =L= 0;

e39..  - b149 + x181 =L= 0;

e40..  - b150 + x182 =L= 0;

e41..  - b151 + x183 =L= 0;

e42..  - b152 + x184 =L= 0;

e43..  - b153 + x185 =L= 0;

e44..  - b154 + x186 =L= 0;

e45..  - b155 + x187 =L= 0;

e46..  - b156 + x188 =L= 0;

e47..  - b157 + x189 =L= 0;

e48..  - b158 + x190 =L= 0;

e49..  - b159 + x191 =L= 0;

e50..  - b160 + x192 =L= 0;

e51..  - b161 + x193 =L= 0;

e52..  - b162 + x194 =L= 0;

e53..  - b163 + x195 =L= 0;

e54..  - b164 + x196 =L= 0;

e55..  - b165 + x197 =L= 0;

e56..  - b166 + x198 =L= 0;

e57..  - b167 + x199 =L= 0;

e58..  - b168 + x200 =L= 0;

e59..  - b169 + x201 =L= 0;

e60.. x178*b146 - x170*b146 + x178*x170 =L= 0;

e61.. x179*b147 - x170*b147 + x179*x170 =L= 0;

e62.. x180*b148 - x170*b148 + x180*x170 =L= 0;

e63.. x181*b149 - x171*b149 + x181*x171 =L= 0;

e64.. x182*b150 - x171*b150 + x182*x171 =L= 0;

e65.. x183*b151 - x171*b151 + x183*x171 =L= 0;

e66.. x184*b152 - x172*b152 + x184*x172 =L= 0;

e67.. x185*b153 - x172*b153 + x185*x172 =L= 0;

e68.. x186*b154 - x172*b154 + x186*x172 =L= 0;

e69.. x187*b155 - x173*b155 + x187*x173 =L= 0;

e70.. x188*b156 - x173*b156 + x188*x173 =L= 0;

e71.. x189*b157 - x173*b157 + x189*x173 =L= 0;

e72.. x190*b158 - x174*b158 + x190*x174 =L= 0;

e73.. x191*b159 - x174*b159 + x191*x174 =L= 0;

e74.. x192*b160 - x174*b160 + x192*x174 =L= 0;

e75.. x193*b161 - x175*b161 + x193*x175 =L= 0;

e76.. x194*b162 - x175*b162 + x194*x175 =L= 0;

e77.. x195*b163 - x175*b163 + x195*x175 =L= 0;

e78.. x196*b164 - x176*b164 + x196*x176 =L= 0;

e79.. x197*b165 - x176*b165 + x197*x176 =L= 0;

e80.. x198*b166 - x176*b166 + x198*x176 =L= 0;

e81.. x199*b167 - x177*b167 + x199*x177 =L= 0;

e82.. x200*b168 - x177*b168 + x200*x177 =L= 0;

e83.. x201*b169 - x177*b169 + x201*x177 =L= 0;

Model m / all /;

m.limrow=0; m.limcol=0;

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

m.tolproj = 0.0;
$if not set MIQCP $set MIQCP MIQCP
Solve m using %MIQCP% minimizing objvar;





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