QPLIB

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QPLIB_3582

Formats gms lp mod qplib
Problem type probtype LMQ
Solution point objective value solobjvalue 469654.89880000 (gdx, sol)
Solution point infeasibility solinfeasibility 5.5511e-17
Donor donor Stefan Vigerske
#Variables nvars 216
#Binary Variables nbinvars 184
#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 192
#Nonlinear Nonzeros in Objective nobjnlnz 0
#Quadratic Terms in Objective nobjquadnz 0
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 84
#Linear Constraints nlincons 60
#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 488
#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_3582.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*         85       29        0       56        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        217       33      184        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        681      609       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,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180
          ,b181,b182,b183,b184,b185,x186,x187,x188,x189,x190,x191,x192,x193
          ,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206
          ,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217;

Positive Variables  x186,x187,x188,x189,x190,x191,x192,x193,x194,x195,x196
          ,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207,x208,x209
          ,x210,x211,x212,x213,x214,x215,x216,x217;

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,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180
          ,b181,b182,b183,b184,b185;

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;


e1..  - objvar + 111.366069*b2 + 173.7366829*b3 + 206.5841378*b4
      + 311.1926392*b5 + 391.0966632*b6 + 412.724041*b7 + 362.9070372*b8
      + 412.2383776*b9 + 202.3323991*b10 + 206.8730353*b11 + 459.4242035*b12
      + 436.3822579*b13 + 595.2127914*b14 + 554.5895352*b15 + 561.7493619*b16
      + 581.5292777*b17 + 530.8816329*b18 + 536.9489837*b19 + 325.4679536*b20
      + 315.5250674*b21 + 76.22594204*b22 + 254.9057931*b23 + 113.0047381*b24
      + 177.1890406*b25 + 173.8949207*b26 + 152.6002901*b27 + 204.4098572*b28
      + 16.50554413*b29 + 138.7197627*b30 + 72.12884147*b31 + 120.8470153*b32
      + 99.57116517*b33 + 151.8490808*b34 + 145.6810027*b35 + 319.1046832*b36
      + 286.753801*b37 + 393.9251605*b38 + 359.9340572*b39 + 372.7573674*b40
      + 380.3207043*b41 + 209.8973584*b42 + 176.9030148*b43 + 484.441224*b44
      + 386.3987007*b45 + 569.8165406*b46 + 500.1469293*b47 + 536.0818668*b48
      + 538.1641196*b49 + 472.7541798*b50 + 394.6718617*b51 + 661.7786504*b52
      + 311.2335948*b53 + 537.2333829*b54 + 352.6101646*b55 + 508.4304793*b56
      + 433.2462682*b57 + 240.4346886*b58 + 247.5733799*b59 + 140.1257459*b60
      + 129.6195868*b61 + 95.25977992*b62 + 157.3185869*b63 + 70.35126391*b64
      + 129.9900551*b65 + 243.3571349*b66 + 304.0037913*b67 + 387.228266*b68
      + 513.0781956*b69 + 616.8768031*b70 + 635.2343575*b71 + 584.5145852*b72
      + 639.3555532*b73 + 471.7298557*b74 + 557.923886*b75 + 106.4681436*b76
      + 576.3274518*b77 + 526.1674797*b78 + 684.6404923*b79 + 496.8474813*b80
      + 632.7201388*b81 + 349.1329415*b82 + 328.5861101*b83 + 615.6070443*b84
      + 537.1401131*b85 + 717.3224155*b86 + 647.4811881*b87 + 684.1277853*b88
      + 686.4012429*b89 + 506.8162847*b90 + 398.0358481*b91 + 855.4317768*b92
      + 471.6069426*b93 + 801.214873*b94 + 596.7222241*b95 + 753.7688822*b96
      + 691.3336593*b97 + 85.36755023*b98 + 158.3793946*b99 + 257.3000264*b100
      + 320.7045434*b101 + 448.1263207*b102 + 457.7637723*b103
      + 408.8338614*b104 + 463.2558683*b105 + 237.1443527*b106
      + 177.4813891*b107 + 528.4189024*b108 + 367.481249*b109
      + 581.6945526*b110 + 486.2184584*b111 + 545.2028146*b112
      + 534.8426535*b113 + 273.3156513*b114 + 294.7368774*b115
      + 91.56346127*b116 + 207.4317424*b117 + 131.4452146*b118
      + 232.4528313*b119 + 119.0042674*b120 + 195.0367163*b121
      + 382.8036131*b122 + 467.0016076*b123 + 186.2134586*b124
      + 547.0816682*b125 + 541.1602491*b126 + 656.4956639*b127
      + 512.8840981*b128 + 621.5494257*b129 + 181.371452*b130
      + 175.4921245*b131 + 162.2482526*b132 + 55.02807899*b133
      + 114.7980881*b134 + 107.3826977*b135 + 90.33427976*b136
      + 106.3143364*b137 + 221.1803673*b138 + 200.8309187*b139
      + 420.8547978*b140 + 351.4013073*b141 + 486.9678471*b142
      + 432.5519089*b143 + 462.4294819*b144 + 462.1570406*b145
      + 181.0938819*b146 + 223.7507549*b147 + 118.1157089*b148
      + 279.7354324*b149 + 287.1851856*b150 + 336.8833424*b151
      + 272.594689*b152 + 322.7701197*b153 + 326.7952484*b154 + 271.173036*b155
      + 758.3530524*b156 + 597.0437891*b157 + 887.2861148*b158
      + 775.4154926*b159 + 834.258761*b160 + 836.0157901*b161
      + 333.5085378*b162 + 114.4885103*b163 + 71.14660143*b164
      + 327.6155448*b165 + 115.4566524*b166 + 72.69610521*b167
      + 418.975572*b168 + 144.0501045*b169 + 89.58613616*b170
      + 441.6481805*b171 + 147.7515097*b172 + 90.64091486*b173
      + 284.8534532*b174 + 109.9299878*b175 + 72.43176509*b176
      + 364.9868148*b177 + 131.4101531*b178 + 83.63149972*b179
      + 261.8321977*b180 + 103.1831866*b181 + 68.70171175*b182
      + 481.5537757*b183 + 144.3569335*b184 + 83.82971183*b185
      + 88728.61148*x186 + 88728.61148*x187 + 88728.61148*x188
      + 88728.61148*x189 + 88728.61148*x190 + 88728.61148*x191
      + 88728.61148*x192 + 88728.61148*x193 =E= 0;

e2..    0.818476132*b2 + 0.870157536*b10 + 1.031851452*b18 + 0.557538685*b26
      + 0.547431463*b34 + 0.875695399*b42 + 1.084580786*b50 + 0.730328391*b58
      + 0.942474488*b66 + 1.428565416*b74 + 0.86023025*b82 + 1.427064072*b90
      + 1.077855852*b98 + 0.966432495*b106 + 0.749586417*b114 + 1.20475136*b122
      + 0.637168473*b130 + 0.637828387*b138 + 0.578555855*b146
      + 1.377981994*b154 - 1.686393241*x194 - 3.372786483*x195
      - 5.059179724*x196 =E= 0;

e3..    0.818476132*b3 + 0.870157536*b11 + 1.031851452*b19 + 0.557538685*b27
      + 0.547431463*b35 + 0.875695399*b43 + 1.084580786*b51 + 0.730328391*b59
      + 0.942474488*b67 + 1.428565416*b75 + 0.86023025*b83 + 1.427064072*b91
      + 1.077855852*b99 + 0.966432495*b107 + 0.749586417*b115 + 1.20475136*b123
      + 0.637168473*b131 + 0.637828387*b139 + 0.578555855*b147
      + 1.377981994*b155 - 1.792318872*x197 - 3.584637744*x198
      - 5.376956616*x199 =E= 0;

e4..    0.818476132*b4 + 0.870157536*b12 + 1.031851452*b20 + 0.557538685*b28
      + 0.547431463*b36 + 0.875695399*b44 + 1.084580786*b52 + 0.730328391*b60
      + 0.942474488*b68 + 1.428565416*b76 + 0.86023025*b84 + 1.427064072*b92
      + 1.077855852*b100 + 0.966432495*b108 + 0.749586417*b116
      + 1.20475136*b124 + 0.637168473*b132 + 0.637828387*b140
      + 0.578555855*b148 + 1.377981994*b156 - 2.128386031*x200
      - 4.256772061*x201 - 6.385158092*x202 =E= 0;

e5..    0.818476132*b5 + 0.870157536*b13 + 1.031851452*b21 + 0.557538685*b29
      + 0.547431463*b37 + 0.875695399*b45 + 1.084580786*b53 + 0.730328391*b61
      + 0.942474488*b69 + 1.428565416*b77 + 0.86023025*b85 + 1.427064072*b93
      + 1.077855852*b101 + 0.966432495*b109 + 0.749586417*b117
      + 1.20475136*b125 + 0.637168473*b133 + 0.637828387*b141
      + 0.578555855*b149 + 1.377981994*b157 - 2.066948261*x203
      - 4.133896521*x204 - 6.200844782*x205 =E= 0;

e6..    0.818476132*b6 + 0.870157536*b14 + 1.031851452*b22 + 0.557538685*b30
      + 0.547431463*b38 + 0.875695399*b46 + 1.084580786*b54 + 0.730328391*b62
      + 0.942474488*b70 + 1.428565416*b78 + 0.86023025*b86 + 1.427064072*b94
      + 1.077855852*b102 + 0.966432495*b110 + 0.749586417*b118
      + 1.20475136*b126 + 0.637168473*b134 + 0.637828387*b142
      + 0.578555855*b150 + 1.377981994*b158 - 2.04641702*x206 - 4.09283404*x207
      - 6.13925106*x208 =E= 0;

e7..    0.818476132*b7 + 0.870157536*b15 + 1.031851452*b23 + 0.557538685*b31
      + 0.547431463*b39 + 0.875695399*b47 + 1.084580786*b55 + 0.730328391*b63
      + 0.942474488*b71 + 1.428565416*b79 + 0.86023025*b87 + 1.427064072*b95
      + 1.077855852*b103 + 0.966432495*b111 + 0.749586417*b119
      + 1.20475136*b127 + 0.637168473*b135 + 0.637828387*b143
      + 0.578555855*b151 + 1.377981994*b159 - 2.129217782*x209
      - 4.258435564*x210 - 6.387653346*x211 =E= 0;

e8..    0.818476132*b8 + 0.870157536*b16 + 1.031851452*b24 + 0.557538685*b32
      + 0.547431463*b40 + 0.875695399*b48 + 1.084580786*b56 + 0.730328391*b64
      + 0.942474488*b72 + 1.428565416*b80 + 0.86023025*b88 + 1.427064072*b96
      + 1.077855852*b104 + 0.966432495*b112 + 0.749586417*b120
      + 1.20475136*b128 + 0.637168473*b136 + 0.637828387*b144
      + 0.578555855*b152 + 1.377981994*b160 - 2.002947451*x212
      - 4.005894901*x213 - 6.008842352*x214 =E= 0;

e9..    0.818476132*b9 + 0.870157536*b17 + 1.031851452*b25 + 0.557538685*b33
      + 0.547431463*b41 + 0.875695399*b49 + 1.084580786*b57 + 0.730328391*b65
      + 0.942474488*b73 + 1.428565416*b81 + 0.86023025*b89 + 1.427064072*b97
      + 1.077855852*b105 + 0.966432495*b113 + 0.749586417*b121
      + 1.20475136*b129 + 0.637168473*b137 + 0.637828387*b145
      + 0.578555855*b153 + 1.377981994*b161 - 1.62146898*x215 - 3.24293796*x216
      - 4.86440694*x217 =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 + b149 + b150 + b151 + b152 + b153 =E= 1;

e29..    b154 + b155 + b156 + b157 + b158 + b159 + b160 + b161 =E= 1;

e30..    b162 + b163 + b164 =L= 1;

e31..    b165 + b166 + b167 =L= 1;

e32..    b168 + b169 + b170 =L= 1;

e33..    b171 + b172 + b173 =L= 1;

e34..    b174 + b175 + b176 =L= 1;

e35..    b177 + b178 + b179 =L= 1;

e36..    b180 + b181 + b182 =L= 1;

e37..    b183 + b184 + b185 =L= 1;

e38..  - b162 + x194 =L= 0;

e39..  - b163 + x195 =L= 0;

e40..  - b164 + x196 =L= 0;

e41..  - b165 + x197 =L= 0;

e42..  - b166 + x198 =L= 0;

e43..  - b167 + x199 =L= 0;

e44..  - b168 + x200 =L= 0;

e45..  - b169 + x201 =L= 0;

e46..  - b170 + x202 =L= 0;

e47..  - b171 + x203 =L= 0;

e48..  - b172 + x204 =L= 0;

e49..  - b173 + x205 =L= 0;

e50..  - b174 + x206 =L= 0;

e51..  - b175 + x207 =L= 0;

e52..  - b176 + x208 =L= 0;

e53..  - b177 + x209 =L= 0;

e54..  - b178 + x210 =L= 0;

e55..  - b179 + x211 =L= 0;

e56..  - b180 + x212 =L= 0;

e57..  - b181 + x213 =L= 0;

e58..  - b182 + x214 =L= 0;

e59..  - b183 + x215 =L= 0;

e60..  - b184 + x216 =L= 0;

e61..  - b185 + x217 =L= 0;

e62.. x194*b162 - x186*b162 + x194*x186 =L= 0;

e63.. x195*b163 - x186*b163 + x195*x186 =L= 0;

e64.. x196*b164 - x186*b164 + x196*x186 =L= 0;

e65.. x197*b165 - x187*b165 + x197*x187 =L= 0;

e66.. x198*b166 - x187*b166 + x198*x187 =L= 0;

e67.. x199*b167 - x187*b167 + x199*x187 =L= 0;

e68.. x200*b168 - x188*b168 + x200*x188 =L= 0;

e69.. x201*b169 - x188*b169 + x201*x188 =L= 0;

e70.. x202*b170 - x188*b170 + x202*x188 =L= 0;

e71.. x203*b171 - x189*b171 + x203*x189 =L= 0;

e72.. x204*b172 - x189*b172 + x204*x189 =L= 0;

e73.. x205*b173 - x189*b173 + x205*x189 =L= 0;

e74.. x206*b174 - x190*b174 + x206*x190 =L= 0;

e75.. x207*b175 - x190*b175 + x207*x190 =L= 0;

e76.. x208*b176 - x190*b176 + x208*x190 =L= 0;

e77.. x209*b177 - x191*b177 + x209*x191 =L= 0;

e78.. x210*b178 - x191*b178 + x210*x191 =L= 0;

e79.. x211*b179 - x191*b179 + x211*x191 =L= 0;

e80.. x212*b180 - x192*b180 + x212*x192 =L= 0;

e81.. x213*b181 - x192*b181 + x213*x192 =L= 0;

e82.. x214*b182 - x192*b182 + x214*x192 =L= 0;

e83.. x215*b183 - x193*b183 + x215*x193 =L= 0;

e84.. x216*b184 - x193*b184 + x216*x193 =L= 0;

e85.. x217*b185 - x193*b185 + x217*x193 =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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