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Instance waternd_hanoi

Formats ams gms osil py
Primal Bounds (infeas ≤ 1e-08)
6109620.90000000 p1 ( gdx sol )
(infeas: 3e-13)
Other points (infeas > 1e-08)  
Dual Bounds
5989665.25000000 (COUENNE)
5809007.69900000 (LINDO)
6109620.90000000 (SCIP)
References D'Ambrosio, Claudia, Bragalli, Cristiana, Lee, Jon, Lodi, Andrea, and Toth, Paolo, Optimal Design of Water Distribution Networks, 2011.
Bragalli, Cristiana, D'Ambrosio, Claudia, Lee, Jon, Lodi, Andrea, and Toth, Paolo, On the optimal design of water distribution networks: a practical MINLP approach, Optimization and Engineering, 13, 2012, 219-246.
Source water.gms from minlp.org model 134
Application Water Network Design
Added to library 25 Sep 2013
Problem type MBNLP
#Variables 304
#Binary Variables 204
#Integer Variables 0
#Nonlinear Variables 100
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 204
#Nonlinear Nonzeros in Objective 0
#Constraints 201
#Linear Constraints 167
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 34
Operands in Gen. Nonlin. Functions mul signpower vcpower
Constraints curvature indefinite
#Nonzeros in Jacobian 781
#Nonlinear Nonzeros in Jacobian 136
#Nonzeros in (Upper-Left) Hessian of Lagrangian 204
#Nonzeros in Diagonal of Hessian of Lagrangian 68
#Blocks in Hessian of Lagrangian 35
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 66
Average blocksize in Hessian of Lagrangian 2.857143
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 7.2966e-02
Maximal coefficient 9.7398e+05
Infeasibility of initial point 1.652
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
*        202      134       34       34        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        305      101      204        0        0        0        0        0
*  FX      1
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        986      850      136        0
*
*  Solve m using MINLP 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,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,b216,b217,b218,b219,b220
          ,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232,b233
          ,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245,b246
          ,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258,b259
          ,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271,b272
          ,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284,b285
          ,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297,b298
          ,b299,b300,b301,b302,b303,b304,objvar;

Binary Variables  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,b216
          ,b217,b218,b219,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229
          ,b230,b231,b232,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242
          ,b243,b244,b245,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255
          ,b256,b257,b258,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268
          ,b269,b270,b271,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281
          ,b282,b283,b284,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294
          ,b295,b296,b297,b298,b299,b300,b301,b302,b303,b304;

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,e122,e123,e124,e125,e126,e127,e128,e129
          ,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
          ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
          ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
          ,e195,e196,e197,e198,e199,e200,e201,e202;


e1..  - 4573*b101 - 7040*b102 - 9839*b103 - 12933*b104 - 18075*b105
      - 27828*b106 - 61735.5*b107 - 95040*b108 - 132826.5*b109 - 174595.5*b110
      - 244012.5*b111 - 375678*b112 - 41157*b113 - 63360*b114 - 88551*b115
      - 116397*b116 - 162675*b117 - 250452*b118 - 100606*b119 - 154880*b120
      - 216458*b121 - 284526*b122 - 397650*b123 - 612216*b124 - 52589.5*b125
      - 80960*b126 - 113148.5*b127 - 148729.5*b128 - 207862.5*b129
      - 320022*b130 - 66308.5*b131 - 102080*b132 - 142665.5*b133
      - 187528.5*b134 - 262087.5*b135 - 403506*b136 - 20578.5*b137 - 31680*b138
      - 44275.5*b139 - 58198.5*b140 - 81337.5*b141 - 125226*b142 - 38870.5*b143
      - 59840*b144 - 83631.5*b145 - 109930.5*b146 - 153637.5*b147 - 236538*b148
      - 38870.5*b149 - 59840*b150 - 83631.5*b151 - 109930.5*b152
      - 153637.5*b153 - 236538*b154 - 36584*b155 - 56320*b156 - 78712*b157
      - 103464*b158 - 144600*b159 - 222624*b160 - 43443.5*b161 - 66880*b162
      - 93470.5*b163 - 122863.5*b164 - 171712.5*b165 - 264366*b166 - 36584*b167
      - 56320*b168 - 78712*b169 - 103464*b170 - 144600*b171 - 222624*b172
      - 54876*b173 - 84480*b174 - 118068*b175 - 155196*b176 - 216900*b177
      - 333936*b178 - 160055*b179 - 246400*b180 - 344365*b181 - 452655*b182
      - 632625*b183 - 973980*b184 - 22865*b185 - 35200*b186 - 49195*b187
      - 64665*b188 - 90375*b189 - 139140*b190 - 25151.5*b191 - 38720*b192
      - 54114.5*b193 - 71131.5*b194 - 99412.5*b195 - 153054*b196
      - 124842.9*b197 - 192192*b198 - 268604.7*b199 - 353070.9*b200
      - 493447.5*b201 - 759704.4*b202 - 80027.5*b203 - 123200*b204
      - 172182.5*b205 - 226327.5*b206 - 316312.5*b207 - 486990*b208
      - 36584*b209 - 56320*b210 - 78712*b211 - 103464*b212 - 144600*b213
      - 222624*b214 - 18292*b215 - 28160*b216 - 39356*b217 - 51732*b218
      - 72300*b219 - 111312*b220 - 68595*b221 - 105600*b222 - 147585*b223
      - 193995*b224 - 271125*b225 - 417420*b226 - 121184.5*b227 - 186560*b228
      - 260733.5*b229 - 342724.5*b230 - 478987.5*b231 - 737442*b232
      - 22865*b233 - 35200*b234 - 49195*b235 - 64665*b236 - 90375*b237
      - 139140*b238 - 56247.9*b239 - 86592*b240 - 121019.7*b241 - 159075.9*b242
      - 222322.5*b243 - 342284.4*b244 - 68595*b245 - 105600*b246 - 147585*b247
      - 193995*b248 - 271125*b249 - 417420*b250 - 59449*b251 - 91520*b252
      - 127907*b253 - 168129*b254 - 234975*b255 - 361764*b256 - 38870.5*b257
      - 59840*b258 - 83631.5*b259 - 109930.5*b260 - 153637.5*b261 - 236538*b262
      - 13719*b263 - 21120*b264 - 29517*b265 - 38799*b266 - 54225*b267
      - 83484*b268 - 34297.5*b269 - 52800*b270 - 73792.5*b271 - 96997.5*b272
      - 135562.5*b273 - 208710*b274 - 91460*b275 - 140800*b276 - 196780*b277
      - 258660*b278 - 361500*b279 - 556560*b280 - 73168*b281 - 112640*b282
      - 157424*b283 - 206928*b284 - 289200*b285 - 445248*b286 - 6859.5*b287
      - 10560*b288 - 14758.5*b289 - 19399.5*b290 - 27112.5*b291 - 41742*b292
      - 39327.8*b293 - 60544*b294 - 84615.4*b295 - 111223.8*b296 - 155445*b297
      - 239320.8*b298 - 43443.5*b299 - 66880*b300 - 93470.5*b301
      - 122863.5*b302 - 171712.5*b303 - 264366*b304 + objvar =E= 0;

e2..  - x33 + x34 =E= -0.24722;

e3..  - x34 + x35 + x36 - x52 =E= -0.23611;

e4..  - x35 + x37 =E= -0.03611;

e5..  - x37 + x38 =E= -0.20139;

e6..  - x38 + x39 =E= -0.27917;

e7..  - x39 + x40 =E= -0.375;

e8..  - x40 + x41 =E= -0.15278;

e9..  - x41 + x42 =E= -0.14583;

e10..  - x42 + x43 + x44 =E= -0.14583;

e11..  - x43 + x45 =E= -0.13889;

e12..  - x45 + x46 =E= -0.15556;

e13..  - x46 =E= -0.26111;

e14..  - x44 + x47 =E= -0.17083;

e15..  - x47 + x48 =E= -0.07778;

e16..  - x48 + x49 - x61 =E= -0.08611;

e17..  - x49 + x50 =E= -0.24028;

e18..  - x50 + x51 =E= -0.37361;

e19..  - x51 + x52 =E= -0.01667;

e20..  - x36 + x53 + x54 =E= -0.35417;

e21..  - x53 + x55 =E= -0.25833;

e22..  - x55 =E= -0.13472;

e23..  - x54 + x56 + x57 =E= -0.29028;

e24..  - x56 + x58 =E= -0.22778;

e25..  - x58 + x59 - x66 =E= -0.04722;

e26..  - x59 + x60 =E= -0.25;

e27..  - x60 + x61 =E= -0.10278;

e28..  - x57 + x62 =E= -0.08056;

e29..  - x62 + x63 =E= -0.1;

e30..  - x63 + x64 =E= -0.1;

e31..  - x64 + x65 =E= -0.02917;

e32..  - x65 + x66 =E= -0.22361;

e33.. SignPower(x33,1.852) - 7.6849192909955*(1.27323954473516*x67)**2.435*(x1
       - x2) =E= 0;

e34.. SignPower(x34,1.852) - 0.569253280814482*(1.27323954473516*x68)**2.435*(
      x2 - x3) =E= 0;

e35.. SignPower(x35,1.852) - 0.853879921221723*(1.27323954473516*x69)**2.435*(
      x3 - x4) =E= 0;

e36.. SignPower(x36,1.852) - 0.349314513227068*(1.27323954473516*x70)**2.435*(
      x3 - x20) =E= 0;

e37.. SignPower(x37,1.852) - 0.668253851390913*(1.27323954473516*x71)**2.435*(
      x4 - x5) =E= 0;

e38.. SignPower(x38,1.852) - 0.529994433861759*(1.27323954473516*x72)**2.435*(
      x5 - x6) =E= 0;

e39.. SignPower(x39,1.852) - 1.70775984244345*(1.27323954473516*x73)**2.435*(x6
       - x7) =E= 0;

e40.. SignPower(x40,1.852) - 0.904108151881824*(1.27323954473516*x74)**2.435*(
      x7 - x8) =E= 0;

e41.. SignPower(x41,1.852) - 0.904108151881824*(1.27323954473516*x75)**2.435*(
      x8 - x9) =E= 0;

e42.. SignPower(x42,1.852) - 0.960614911374438*(1.27323954473516*x76)**2.435*(
      x9 - x10) =E= 0;

e43.. SignPower(x43,1.852) - 0.808938872736369*(1.27323954473516*x77)**2.435*(
      x10 - x11) =E= 0;

e44.. SignPower(x44,1.852) - 0.960614911374438*(1.27323954473516*x78)**2.435*(
      x10 - x14) =E= 0;

e45.. SignPower(x45,1.852) - 0.640409940916292*(1.27323954473516*x79)**2.435*(
      x11 - x12) =E= 0;

e46.. SignPower(x46,1.852) - 0.219569122599872*(1.27323954473516*x80)**2.435*(
      x12 - x13) =E= 0;

e47.. SignPower(x47,1.852) - 1.5369838581991*(1.27323954473516*x81)**2.435*(x14
       - x15) =E= 0;

e48.. SignPower(x48,1.852) - 1.39725805290827*(1.27323954473516*x82)**2.435*(
      x15 - x16) =E= 0;

e49.. SignPower(x49,1.852) - 0.28149887512804*(1.27323954473516*x83)**2.435*(
      x16 - x17) =E= 0;

e50.. SignPower(x50,1.852) - 0.439138245199743*(1.27323954473516*x84)**2.435*(
      x17 - x18) =E= 0;

e51.. SignPower(x51,1.852) - 0.960614911374438*(1.27323954473516*x85)**2.435*(
      x18 - x19) =E= 0;

e52.. SignPower(x52,1.852) - 1.92122982274888*(1.27323954473516*x86)**2.435*(
      x19 - x3) =E= 0;

e53.. SignPower(x53,1.852) - 0.512327952733034*(1.27323954473516*x87)**2.435*(
      x20 - x21) =E= 0;

e54.. SignPower(x54,1.852) - 0.289996954377189*(1.27323954473516*x88)**2.435*(
      x20 - x23) =E= 0;

e55.. SignPower(x55,1.852) - 1.5369838581991*(1.27323954473516*x89)**2.435*(x21
       - x22) =E= 0;

e56.. SignPower(x56,1.852) - 0.624790186259797*(1.27323954473516*x90)**2.435*(
      x23 - x24) =E= 0;

e57.. SignPower(x57,1.852) - 0.512327952733034*(1.27323954473516*x91)**2.435*(
      x23 - x28) =E= 0;

e58.. SignPower(x58,1.852) - 0.591147637768885*(1.27323954473516*x92)**2.435*(
      x24 - x25) =E= 0;

e59.. SignPower(x59,1.852) - 0.904108151881824*(1.27323954473516*x93)**2.435*(
      x25 - x26) =E= 0;

e60.. SignPower(x60,1.852) - 2.56163976366517*(1.27323954473516*x94)**2.435*(
      x26 - x27) =E= 0;

e61.. SignPower(x61,1.852) - 1.02465590546607*(1.27323954473516*x95)**2.435*(
      x27 - x16) =E= 0;

e62.. SignPower(x62,1.852) - 0.384245964549775*(1.27323954473516*x96)**2.435*(
      x28 - x29) =E= 0;

e63.. SignPower(x63,1.852) - 0.480307455687219*(1.27323954473516*x97)**2.435*(
      x29 - x30) =E= 0;

e64.. SignPower(x64,1.852) - 5.12327952733034*(1.27323954473516*x98)**2.435*(
      x30 - x31) =E= 0;

e65.. SignPower(x65,1.852) - 0.893595266394826*(1.27323954473516*x99)**2.435*(
      x31 - x32) =E= 0;

e66.. SignPower(x66,1.852) - 0.808938872736369*(1.27323954473516*x100)**2.435*(
      x32 - x25) =E= 0;

e67..    x33 - 7*x67 =L= 0;

e68..    x34 - 7*x68 =L= 0;

e69..    x35 - 3*x69 =L= 0;

e70..    x36 - 3*x70 =L= 0;

e71..    x37 - 3*x71 =L= 0;

e72..    x38 - 2.5*x72 =L= 0;

e73..    x39 - 2.5*x73 =L= 0;

e74..    x40 - 2*x74 =L= 0;

e75..    x41 - 2*x75 =L= 0;

e76..    x42 - 2*x76 =L= 0;

e77..    x43 - 2*x77 =L= 0;

e78..    x44 - 2*x78 =L= 0;

e79..    x45 - 2*x79 =L= 0;

e80..    x46 - 2*x80 =L= 0;

e81..    x47 - 2*x81 =L= 0;

e82..    x48 - 2*x82 =L= 0;

e83..    x49 - 2*x83 =L= 0;

e84..    x50 - 2*x84 =L= 0;

e85..    x51 - 3.5*x85 =L= 0;

e86..    x52 - 3.5*x86 =L= 0;

e87..    x53 - 2*x87 =L= 0;

e88..    x54 - 2*x88 =L= 0;

e89..    x55 - 2*x89 =L= 0;

e90..    x56 - 3*x90 =L= 0;

e91..    x57 - 2*x91 =L= 0;

e92..    x58 - 2*x92 =L= 0;

e93..    x59 - 2*x93 =L= 0;

e94..    x60 - 2*x94 =L= 0;

e95..    x61 - 2*x95 =L= 0;

e96..    x62 - 2*x96 =L= 0;

e97..    x63 - 2*x97 =L= 0;

e98..    x64 - 2*x98 =L= 0;

e99..    x65 - 2*x99 =L= 0;

e100..    x66 - 2*x100 =L= 0;

e101..    x33 + 7*x67 =G= 0;

e102..    x34 + 7*x68 =G= 0;

e103..    x35 + 3*x69 =G= 0;

e104..    x36 + 3*x70 =G= 0;

e105..    x37 + 3*x71 =G= 0;

e106..    x38 + 2.5*x72 =G= 0;

e107..    x39 + 2.5*x73 =G= 0;

e108..    x40 + 2*x74 =G= 0;

e109..    x41 + 2*x75 =G= 0;

e110..    x42 + 2*x76 =G= 0;

e111..    x43 + 2*x77 =G= 0;

e112..    x44 + 2*x78 =G= 0;

e113..    x45 + 2*x79 =G= 0;

e114..    x46 + 2*x80 =G= 0;

e115..    x47 + 2*x81 =G= 0;

e116..    x48 + 2*x82 =G= 0;

e117..    x49 + 2*x83 =G= 0;

e118..    x50 + 2*x84 =G= 0;

e119..    x51 + 3.5*x85 =G= 0;

e120..    x52 + 3.5*x86 =G= 0;

e121..    x53 + 2*x87 =G= 0;

e122..    x54 + 2*x88 =G= 0;

e123..    x55 + 2*x89 =G= 0;

e124..    x56 + 3*x90 =G= 0;

e125..    x57 + 2*x91 =G= 0;

e126..    x58 + 2*x92 =G= 0;

e127..    x59 + 2*x93 =G= 0;

e128..    x60 + 2*x94 =G= 0;

e129..    x61 + 2*x95 =G= 0;

e130..    x62 + 2*x96 =G= 0;

e131..    x63 + 2*x97 =G= 0;

e132..    x64 + 2*x98 =G= 0;

e133..    x65 + 2*x99 =G= 0;

e134..    x66 + 2*x100 =G= 0;

e135..    x67 - 0.0729658769900397*b101 - 0.129717114648959*b102
        - 0.202682991638999*b103 - 0.291863507960159*b104
        - 0.456036731187748*b105 - 0.810731966555996*b106 =E= 0;

e136..    x68 - 0.0729658769900397*b107 - 0.129717114648959*b108
        - 0.202682991638999*b109 - 0.291863507960159*b110
        - 0.456036731187748*b111 - 0.810731966555996*b112 =E= 0;

e137..    x69 - 0.0729658769900397*b113 - 0.129717114648959*b114
        - 0.202682991638999*b115 - 0.291863507960159*b116
        - 0.456036731187748*b117 - 0.810731966555996*b118 =E= 0;

e138..    x70 - 0.0729658769900397*b119 - 0.129717114648959*b120
        - 0.202682991638999*b121 - 0.291863507960159*b122
        - 0.456036731187748*b123 - 0.810731966555996*b124 =E= 0;

e139..    x71 - 0.0729658769900397*b125 - 0.129717114648959*b126
        - 0.202682991638999*b127 - 0.291863507960159*b128
        - 0.456036731187748*b129 - 0.810731966555996*b130 =E= 0;

e140..    x72 - 0.0729658769900397*b131 - 0.129717114648959*b132
        - 0.202682991638999*b133 - 0.291863507960159*b134
        - 0.456036731187748*b135 - 0.810731966555996*b136 =E= 0;

e141..    x73 - 0.0729658769900397*b137 - 0.129717114648959*b138
        - 0.202682991638999*b139 - 0.291863507960159*b140
        - 0.456036731187748*b141 - 0.810731966555996*b142 =E= 0;

e142..    x74 - 0.0729658769900397*b143 - 0.129717114648959*b144
        - 0.202682991638999*b145 - 0.291863507960159*b146
        - 0.456036731187748*b147 - 0.810731966555996*b148 =E= 0;

e143..    x75 - 0.0729658769900397*b149 - 0.129717114648959*b150
        - 0.202682991638999*b151 - 0.291863507960159*b152
        - 0.456036731187748*b153 - 0.810731966555996*b154 =E= 0;

e144..    x76 - 0.0729658769900397*b155 - 0.129717114648959*b156
        - 0.202682991638999*b157 - 0.291863507960159*b158
        - 0.456036731187748*b159 - 0.810731966555996*b160 =E= 0;

e145..    x77 - 0.0729658769900397*b161 - 0.129717114648959*b162
        - 0.202682991638999*b163 - 0.291863507960159*b164
        - 0.456036731187748*b165 - 0.810731966555996*b166 =E= 0;

e146..    x78 - 0.0729658769900397*b167 - 0.129717114648959*b168
        - 0.202682991638999*b169 - 0.291863507960159*b170
        - 0.456036731187748*b171 - 0.810731966555996*b172 =E= 0;

e147..    x79 - 0.0729658769900397*b173 - 0.129717114648959*b174
        - 0.202682991638999*b175 - 0.291863507960159*b176
        - 0.456036731187748*b177 - 0.810731966555996*b178 =E= 0;

e148..    x80 - 0.0729658769900397*b179 - 0.129717114648959*b180
        - 0.202682991638999*b181 - 0.291863507960159*b182
        - 0.456036731187748*b183 - 0.810731966555996*b184 =E= 0;

e149..    x81 - 0.0729658769900397*b185 - 0.129717114648959*b186
        - 0.202682991638999*b187 - 0.291863507960159*b188
        - 0.456036731187748*b189 - 0.810731966555996*b190 =E= 0;

e150..    x82 - 0.0729658769900397*b191 - 0.129717114648959*b192
        - 0.202682991638999*b193 - 0.291863507960159*b194
        - 0.456036731187748*b195 - 0.810731966555996*b196 =E= 0;

e151..    x83 - 0.0729658769900397*b197 - 0.129717114648959*b198
        - 0.202682991638999*b199 - 0.291863507960159*b200
        - 0.456036731187748*b201 - 0.810731966555996*b202 =E= 0;

e152..    x84 - 0.0729658769900397*b203 - 0.129717114648959*b204
        - 0.202682991638999*b205 - 0.291863507960159*b206
        - 0.456036731187748*b207 - 0.810731966555996*b208 =E= 0;

e153..    x85 - 0.0729658769900397*b209 - 0.129717114648959*b210
        - 0.202682991638999*b211 - 0.291863507960159*b212
        - 0.456036731187748*b213 - 0.810731966555996*b214 =E= 0;

e154..    x86 - 0.0729658769900397*b215 - 0.129717114648959*b216
        - 0.202682991638999*b217 - 0.291863507960159*b218
        - 0.456036731187748*b219 - 0.810731966555996*b220 =E= 0;

e155..    x87 - 0.0729658769900397*b221 - 0.129717114648959*b222
        - 0.202682991638999*b223 - 0.291863507960159*b224
        - 0.456036731187748*b225 - 0.810731966555996*b226 =E= 0;

e156..    x88 - 0.0729658769900397*b227 - 0.129717114648959*b228
        - 0.202682991638999*b229 - 0.291863507960159*b230
        - 0.456036731187748*b231 - 0.810731966555996*b232 =E= 0;

e157..    x89 - 0.0729658769900397*b233 - 0.129717114648959*b234
        - 0.202682991638999*b235 - 0.291863507960159*b236
        - 0.456036731187748*b237 - 0.810731966555996*b238 =E= 0;

e158..    x90 - 0.0729658769900397*b239 - 0.129717114648959*b240
        - 0.202682991638999*b241 - 0.291863507960159*b242
        - 0.456036731187748*b243 - 0.810731966555996*b244 =E= 0;

e159..    x91 - 0.0729658769900397*b245 - 0.129717114648959*b246
        - 0.202682991638999*b247 - 0.291863507960159*b248
        - 0.456036731187748*b249 - 0.810731966555996*b250 =E= 0;

e160..    x92 - 0.0729658769900397*b251 - 0.129717114648959*b252
        - 0.202682991638999*b253 - 0.291863507960159*b254
        - 0.456036731187748*b255 - 0.810731966555996*b256 =E= 0;

e161..    x93 - 0.0729658769900397*b257 - 0.129717114648959*b258
        - 0.202682991638999*b259 - 0.291863507960159*b260
        - 0.456036731187748*b261 - 0.810731966555996*b262 =E= 0;

e162..    x94 - 0.0729658769900397*b263 - 0.129717114648959*b264
        - 0.202682991638999*b265 - 0.291863507960159*b266
        - 0.456036731187748*b267 - 0.810731966555996*b268 =E= 0;

e163..    x95 - 0.0729658769900397*b269 - 0.129717114648959*b270
        - 0.202682991638999*b271 - 0.291863507960159*b272
        - 0.456036731187748*b273 - 0.810731966555996*b274 =E= 0;

e164..    x96 - 0.0729658769900397*b275 - 0.129717114648959*b276
        - 0.202682991638999*b277 - 0.291863507960159*b278
        - 0.456036731187748*b279 - 0.810731966555996*b280 =E= 0;

e165..    x97 - 0.0729658769900397*b281 - 0.129717114648959*b282
        - 0.202682991638999*b283 - 0.291863507960159*b284
        - 0.456036731187748*b285 - 0.810731966555996*b286 =E= 0;

e166..    x98 - 0.0729658769900397*b287 - 0.129717114648959*b288
        - 0.202682991638999*b289 - 0.291863507960159*b290
        - 0.456036731187748*b291 - 0.810731966555996*b292 =E= 0;

e167..    x99 - 0.0729658769900397*b293 - 0.129717114648959*b294
        - 0.202682991638999*b295 - 0.291863507960159*b296
        - 0.456036731187748*b297 - 0.810731966555996*b298 =E= 0;

e168..    x100 - 0.0729658769900397*b299 - 0.129717114648959*b300
        - 0.202682991638999*b301 - 0.291863507960159*b302
        - 0.456036731187748*b303 - 0.810731966555996*b304 =E= 0;

e169..    b101 + b102 + b103 + b104 + b105 + b106 =E= 1;

e170..    b107 + b108 + b109 + b110 + b111 + b112 =E= 1;

e171..    b113 + b114 + b115 + b116 + b117 + b118 =E= 1;

e172..    b119 + b120 + b121 + b122 + b123 + b124 =E= 1;

e173..    b125 + b126 + b127 + b128 + b129 + b130 =E= 1;

e174..    b131 + b132 + b133 + b134 + b135 + b136 =E= 1;

e175..    b137 + b138 + b139 + b140 + b141 + b142 =E= 1;

e176..    b143 + b144 + b145 + b146 + b147 + b148 =E= 1;

e177..    b149 + b150 + b151 + b152 + b153 + b154 =E= 1;

e178..    b155 + b156 + b157 + b158 + b159 + b160 =E= 1;

e179..    b161 + b162 + b163 + b164 + b165 + b166 =E= 1;

e180..    b167 + b168 + b169 + b170 + b171 + b172 =E= 1;

e181..    b173 + b174 + b175 + b176 + b177 + b178 =E= 1;

e182..    b179 + b180 + b181 + b182 + b183 + b184 =E= 1;

e183..    b185 + b186 + b187 + b188 + b189 + b190 =E= 1;

e184..    b191 + b192 + b193 + b194 + b195 + b196 =E= 1;

e185..    b197 + b198 + b199 + b200 + b201 + b202 =E= 1;

e186..    b203 + b204 + b205 + b206 + b207 + b208 =E= 1;

e187..    b209 + b210 + b211 + b212 + b213 + b214 =E= 1;

e188..    b215 + b216 + b217 + b218 + b219 + b220 =E= 1;

e189..    b221 + b222 + b223 + b224 + b225 + b226 =E= 1;

e190..    b227 + b228 + b229 + b230 + b231 + b232 =E= 1;

e191..    b233 + b234 + b235 + b236 + b237 + b238 =E= 1;

e192..    b239 + b240 + b241 + b242 + b243 + b244 =E= 1;

e193..    b245 + b246 + b247 + b248 + b249 + b250 =E= 1;

e194..    b251 + b252 + b253 + b254 + b255 + b256 =E= 1;

e195..    b257 + b258 + b259 + b260 + b261 + b262 =E= 1;

e196..    b263 + b264 + b265 + b266 + b267 + b268 =E= 1;

e197..    b269 + b270 + b271 + b272 + b273 + b274 =E= 1;

e198..    b275 + b276 + b277 + b278 + b279 + b280 =E= 1;

e199..    b281 + b282 + b283 + b284 + b285 + b286 =E= 1;

e200..    b287 + b288 + b289 + b290 + b291 + b292 =E= 1;

e201..    b293 + b294 + b295 + b296 + b297 + b298 =E= 1;

e202..    b299 + b300 + b301 + b302 + b303 + b304 =E= 1;

* set non-default bounds
x1.fx = 100;
x2.lo = 30; x2.up = 100;
x3.lo = 30; x3.up = 100;
x4.lo = 30; x4.up = 100;
x5.lo = 30; x5.up = 100;
x6.lo = 30; x6.up = 100;
x7.lo = 30; x7.up = 100;
x8.lo = 30; x8.up = 100;
x9.lo = 30; x9.up = 100;
x10.lo = 30; x10.up = 100;
x11.lo = 30; x11.up = 100;
x12.lo = 30; x12.up = 100;
x13.lo = 30; x13.up = 100;
x14.lo = 30; x14.up = 100;
x15.lo = 30; x15.up = 100;
x16.lo = 30; x16.up = 100;
x17.lo = 30; x17.up = 100;
x18.lo = 30; x18.up = 100;
x19.lo = 30; x19.up = 100;
x20.lo = 30; x20.up = 100;
x21.lo = 30; x21.up = 100;
x22.lo = 30; x22.up = 100;
x23.lo = 30; x23.up = 100;
x24.lo = 30; x24.up = 100;
x25.lo = 30; x25.up = 100;
x26.lo = 30; x26.up = 100;
x27.lo = 30; x27.up = 100;
x28.lo = 30; x28.up = 100;
x29.lo = 30; x29.up = 100;
x30.lo = 30; x30.up = 100;
x31.lo = 30; x31.up = 100;
x32.lo = 30; x32.up = 100;
x67.lo = 0.0729658769900397; x67.up = 0.810731966555996;
x68.lo = 0.0729658769900397; x68.up = 0.810731966555996;
x69.lo = 0.0729658769900397; x69.up = 0.810731966555996;
x70.lo = 0.0729658769900397; x70.up = 0.810731966555996;
x71.lo = 0.0729658769900397; x71.up = 0.810731966555996;
x72.lo = 0.0729658769900397; x72.up = 0.810731966555996;
x73.lo = 0.0729658769900397; x73.up = 0.810731966555996;
x74.lo = 0.0729658769900397; x74.up = 0.810731966555996;
x75.lo = 0.0729658769900397; x75.up = 0.810731966555996;
x76.lo = 0.0729658769900397; x76.up = 0.810731966555996;
x77.lo = 0.0729658769900397; x77.up = 0.810731966555996;
x78.lo = 0.0729658769900397; x78.up = 0.810731966555996;
x79.lo = 0.0729658769900397; x79.up = 0.810731966555996;
x80.lo = 0.0729658769900397; x80.up = 0.810731966555996;
x81.lo = 0.0729658769900397; x81.up = 0.810731966555996;
x82.lo = 0.0729658769900397; x82.up = 0.810731966555996;
x83.lo = 0.0729658769900397; x83.up = 0.810731966555996;
x84.lo = 0.0729658769900397; x84.up = 0.810731966555996;
x85.lo = 0.0729658769900397; x85.up = 0.810731966555996;
x86.lo = 0.0729658769900397; x86.up = 0.810731966555996;
x87.lo = 0.0729658769900397; x87.up = 0.810731966555996;
x88.lo = 0.0729658769900397; x88.up = 0.810731966555996;
x89.lo = 0.0729658769900397; x89.up = 0.810731966555996;
x90.lo = 0.0729658769900397; x90.up = 0.810731966555996;
x91.lo = 0.0729658769900397; x91.up = 0.810731966555996;
x92.lo = 0.0729658769900397; x92.up = 0.810731966555996;
x93.lo = 0.0729658769900397; x93.up = 0.810731966555996;
x94.lo = 0.0729658769900397; x94.up = 0.810731966555996;
x95.lo = 0.0729658769900397; x95.up = 0.810731966555996;
x96.lo = 0.0729658769900397; x96.up = 0.810731966555996;
x97.lo = 0.0729658769900397; x97.up = 0.810731966555996;
x98.lo = 0.0729658769900397; x98.up = 0.810731966555996;
x99.lo = 0.0729658769900397; x99.up = 0.810731966555996;
x100.lo = 0.0729658769900397; x100.up = 0.810731966555996;

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: 2022-04-26 Git hash: de668763
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