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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance wastewater13m1

Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
1564.95798300 p1 ( gdx sol )
(infeas: 3e-11)
Other points (infeas > 1e-08)  
Dual Bounds
1564.95798200 (ANTIGONE)
1564.95798200 (BARON)
1275.32284300 (COUENNE)
1564.95798300 (GUROBI)
1140.01801800 (LINDO)
1443.98031200 (SCIP)
References Castro, Pedro M, Matos, Henrique A, and Novais, Augusto Q, An efficient heuristic procedure for the optimal design of wastewater treatment systems, Resources, Conservation and Recycling, 50:2, 2007, 158-185.
Castro, Pedro M, Teles, João P, and Novais, Augusto Q, Linear program-based algorithm for the optimal design of wastewater treatment systems, Clean Technologies and Environmental Policy, 11:1, 2009, 83-93.
Source ANTIGONE test library model Other_MIQCQP/castro_etal_2007_wts_Ex13_M1.gms
Application Waste Water Treatment
Added to library 15 Aug 2014
Problem type QCP
#Variables 382
#Binary Variables 0
#Integer Variables 0
#Nonlinear Variables 285
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 15
#Nonlinear Nonzeros in Objective 0
#Constraints 83
#Linear Constraints 67
#Quadratic Constraints 16
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 1355
#Nonlinear Nonzeros in Jacobian 510
#Nonzeros in (Upper-Left) Hessian of Lagrangian 510
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 30
Minimal blocksize in Hessian of Lagrangian 2
Maximal blocksize in Hessian of Lagrangian 17
Average blocksize in Hessian of Lagrangian 9.5
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 5.0000e-02
Maximal coefficient 5.0000e+02
Infeasibility of initial point 530
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
*         84       68        0       16        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        383      383        0        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1371      861      510        0
*
*  Solve m using NLP 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,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,x206,x207
          ,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
          ,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
          ,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
          ,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
          ,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
          ,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285
          ,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298
          ,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310,x311
          ,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
          ,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337
          ,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349,x350
          ,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362,x363
          ,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375,x376
          ,x377,x378,x379,x380,x381,x382,objvar;

Positive 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,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
          ,x206,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218
          ,x219,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231
          ,x232,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244
          ,x245,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257
          ,x258,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270
          ,x271,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283
          ,x284,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296
          ,x297,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309
          ,x310,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322
          ,x323,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335
          ,x336,x337,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348
          ,x349,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361
          ,x362,x363,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374
          ,x375,x376,x377,x378,x379,x380,x381,x382;

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;


e1..  - x368 - x369 - x370 - x371 - x372 - x373 - x374 - x375 - x376 - x377
      - x378 - x379 - x380 - x381 - x382 + objvar =E= 0;

e2..  - x256 - x277 - x278 - x279 - x280 - x281 - x282 - x283 - x284 - x285
      - x286 - x287 - x288 - x289 - x290 - x291 =E= -90;

e3..  - x257 - x292 - x293 - x294 - x295 - x296 - x297 - x298 - x299 - x300
      - x301 - x302 - x303 - x304 - x305 - x306 =E= -50;

e4..  - x258 - x307 - x308 - x309 - x310 - x311 - x312 - x313 - x314 - x315
      - x316 - x317 - x318 - x319 - x320 - x321 =E= -200;

e5..  - x259 - x322 - x323 - x324 - x325 - x326 - x327 - x328 - x329 - x330
      - x331 - x332 - x333 - x334 - x335 - x336 =E= -240;

e6..  - x260 - x337 - x338 - x339 - x340 - x341 - x342 - x343 - x344 - x345
      - x346 - x347 - x348 - x349 - x350 - x351 =E= -530;

e7..  - x261 - x352 - x353 - x354 - x355 - x356 - x357 - x358 - x359 - x360
      - x361 - x362 - x363 - x364 - x365 - x366 =E= -70;

e8..  - x31 - x46 - x61 - x76 - x91 - x106 - x121 - x136 - x151 - x166 - x181
      - x196 - x211 - x226 - x241 - x277 - x292 - x307 - x322 - x337 - x352
      + x368 =E= 0;

e9..  - x32 - x47 - x62 - x77 - x92 - x107 - x122 - x137 - x152 - x167 - x182
      - x197 - x212 - x227 - x242 - x278 - x293 - x308 - x323 - x338 - x353
      + x369 =E= 0;

e10..  - x33 - x48 - x63 - x78 - x93 - x108 - x123 - x138 - x153 - x168 - x183
       - x198 - x213 - x228 - x243 - x279 - x294 - x309 - x324 - x339 - x354
       + x370 =E= 0;

e11..  - x34 - x49 - x64 - x79 - x94 - x109 - x124 - x139 - x154 - x169 - x184
       - x199 - x214 - x229 - x244 - x280 - x295 - x310 - x325 - x340 - x355
       + x371 =E= 0;

e12..  - x35 - x50 - x65 - x80 - x95 - x110 - x125 - x140 - x155 - x170 - x185
       - x200 - x215 - x230 - x245 - x281 - x296 - x311 - x326 - x341 - x356
       + x372 =E= 0;

e13..  - x36 - x51 - x66 - x81 - x96 - x111 - x126 - x141 - x156 - x171 - x186
       - x201 - x216 - x231 - x246 - x282 - x297 - x312 - x327 - x342 - x357
       + x373 =E= 0;

e14..  - x37 - x52 - x67 - x82 - x97 - x112 - x127 - x142 - x157 - x172 - x187
       - x202 - x217 - x232 - x247 - x283 - x298 - x313 - x328 - x343 - x358
       + x374 =E= 0;

e15..  - x38 - x53 - x68 - x83 - x98 - x113 - x128 - x143 - x158 - x173 - x188
       - x203 - x218 - x233 - x248 - x284 - x299 - x314 - x329 - x344 - x359
       + x375 =E= 0;

e16..  - x39 - x54 - x69 - x84 - x99 - x114 - x129 - x144 - x159 - x174 - x189
       - x204 - x219 - x234 - x249 - x285 - x300 - x315 - x330 - x345 - x360
       + x376 =E= 0;

e17..  - x40 - x55 - x70 - x85 - x100 - x115 - x130 - x145 - x160 - x175 - x190
       - x205 - x220 - x235 - x250 - x286 - x301 - x316 - x331 - x346 - x361
       + x377 =E= 0;

e18..  - x41 - x56 - x71 - x86 - x101 - x116 - x131 - x146 - x161 - x176 - x191
       - x206 - x221 - x236 - x251 - x287 - x302 - x317 - x332 - x347 - x362
       + x378 =E= 0;

e19..  - x42 - x57 - x72 - x87 - x102 - x117 - x132 - x147 - x162 - x177 - x192
       - x207 - x222 - x237 - x252 - x288 - x303 - x318 - x333 - x348 - x363
       + x379 =E= 0;

e20..  - x43 - x58 - x73 - x88 - x103 - x118 - x133 - x148 - x163 - x178 - x193
       - x208 - x223 - x238 - x253 - x289 - x304 - x319 - x334 - x349 - x364
       + x380 =E= 0;

e21..  - x44 - x59 - x74 - x89 - x104 - x119 - x134 - x149 - x164 - x179 - x194
       - x209 - x224 - x239 - x254 - x290 - x305 - x320 - x335 - x350 - x365
       + x381 =E= 0;

e22..  - x45 - x60 - x75 - x90 - x105 - x120 - x135 - x150 - x165 - x180 - x195
       - x210 - x225 - x240 - x255 - x291 - x306 - x321 - x336 - x351 - x366
       + x382 =E= 0;

e23..  - x31 - x32 - x33 - x34 - x35 - x36 - x37 - x38 - x39 - x40 - x41 - x42
       - x43 - x44 - x45 - x262 + x368 =E= 0;

e24..  - x46 - x47 - x48 - x49 - x50 - x51 - x52 - x53 - x54 - x55 - x56 - x57
       - x58 - x59 - x60 - x263 + x369 =E= 0;

e25..  - x61 - x62 - x63 - x64 - x65 - x66 - x67 - x68 - x69 - x70 - x71 - x72
       - x73 - x74 - x75 - x264 + x370 =E= 0;

e26..  - x76 - x77 - x78 - x79 - x80 - x81 - x82 - x83 - x84 - x85 - x86 - x87
       - x88 - x89 - x90 - x265 + x371 =E= 0;

e27..  - x91 - x92 - x93 - x94 - x95 - x96 - x97 - x98 - x99 - x100 - x101
       - x102 - x103 - x104 - x105 - x266 + x372 =E= 0;

e28..  - x106 - x107 - x108 - x109 - x110 - x111 - x112 - x113 - x114 - x115
       - x116 - x117 - x118 - x119 - x120 - x267 + x373 =E= 0;

e29..  - x121 - x122 - x123 - x124 - x125 - x126 - x127 - x128 - x129 - x130
       - x131 - x132 - x133 - x134 - x135 - x268 + x374 =E= 0;

e30..  - x136 - x137 - x138 - x139 - x140 - x141 - x142 - x143 - x144 - x145
       - x146 - x147 - x148 - x149 - x150 - x269 + x375 =E= 0;

e31..  - x151 - x152 - x153 - x154 - x155 - x156 - x157 - x158 - x159 - x160
       - x161 - x162 - x163 - x164 - x165 - x270 + x376 =E= 0;

e32..  - x166 - x167 - x168 - x169 - x170 - x171 - x172 - x173 - x174 - x175
       - x176 - x177 - x178 - x179 - x180 - x271 + x377 =E= 0;

e33..  - x181 - x182 - x183 - x184 - x185 - x186 - x187 - x188 - x189 - x190
       - x191 - x192 - x193 - x194 - x195 - x272 + x378 =E= 0;

e34..  - x196 - x197 - x198 - x199 - x200 - x201 - x202 - x203 - x204 - x205
       - x206 - x207 - x208 - x209 - x210 - x273 + x379 =E= 0;

e35..  - x211 - x212 - x213 - x214 - x215 - x216 - x217 - x218 - x219 - x220
       - x221 - x222 - x223 - x224 - x225 - x274 + x380 =E= 0;

e36..  - x226 - x227 - x228 - x229 - x230 - x231 - x232 - x233 - x234 - x235
       - x236 - x237 - x238 - x239 - x240 - x275 + x381 =E= 0;

e37..  - x241 - x242 - x243 - x244 - x245 - x246 - x247 - x248 - x249 - x250
       - x251 - x252 - x253 - x254 - x255 - x276 + x382 =E= 0;

e38..  - x256 - x257 - x258 - x259 - x260 - x261 - x262 - x263 - x264 - x265
       - x266 - x267 - x268 - x269 - x270 - x271 - x272 - x273 - x274 - x275
       - x276 + x367 =E= 0;

e39.. x31*x16 + x46*x17 + x61*x18 + x76*x19 + x91*x20 + x106*x21 + x121*x22 + 
      x136*x23 + x151*x24 + x166*x25 + x181*x26 + x196*x27 + x211*x28 + x226*
      x29 + x241*x30 - x368*x1 + 12*x277 + 350*x292 + 500*x307 + 400*x322
       + 50*x337 + 140*x352 =E= 0;

e40.. x32*x16 + x47*x17 + x62*x18 + x77*x19 + x92*x20 + x107*x21 + x122*x22 + 
      x137*x23 + x152*x24 + x167*x25 + x182*x26 + x197*x27 + x212*x28 + x227*
      x29 + x242*x30 - x369*x2 + 12*x278 + 350*x293 + 500*x308 + 400*x323
       + 50*x338 + 140*x353 =E= 0;

e41.. x33*x16 + x48*x17 + x63*x18 + x78*x19 + x93*x20 + x108*x21 + x123*x22 + 
      x138*x23 + x153*x24 + x168*x25 + x183*x26 + x198*x27 + x213*x28 + x228*
      x29 + x243*x30 - x370*x3 + 12*x279 + 350*x294 + 500*x309 + 400*x324
       + 50*x339 + 140*x354 =E= 0;

e42.. x34*x16 + x49*x17 + x64*x18 + x79*x19 + x94*x20 + x109*x21 + x124*x22 + 
      x139*x23 + x154*x24 + x169*x25 + x184*x26 + x199*x27 + x214*x28 + x229*
      x29 + x244*x30 - x371*x4 + 12*x280 + 350*x295 + 500*x310 + 400*x325
       + 50*x340 + 140*x355 =E= 0;

e43.. x35*x16 + x50*x17 + x65*x18 + x80*x19 + x95*x20 + x110*x21 + x125*x22 + 
      x140*x23 + x155*x24 + x170*x25 + x185*x26 + x200*x27 + x215*x28 + x230*
      x29 + x245*x30 - x372*x5 + 12*x281 + 350*x296 + 500*x311 + 400*x326
       + 50*x341 + 140*x356 =E= 0;

e44.. x36*x16 + x51*x17 + x66*x18 + x81*x19 + x96*x20 + x111*x21 + x126*x22 + 
      x141*x23 + x156*x24 + x171*x25 + x186*x26 + x201*x27 + x216*x28 + x231*
      x29 + x246*x30 - x373*x6 + 12*x282 + 350*x297 + 500*x312 + 400*x327
       + 50*x342 + 140*x357 =E= 0;

e45.. x37*x16 + x52*x17 + x67*x18 + x82*x19 + x97*x20 + x112*x21 + x127*x22 + 
      x142*x23 + x157*x24 + x172*x25 + x187*x26 + x202*x27 + x217*x28 + x232*
      x29 + x247*x30 - x374*x7 + 12*x283 + 350*x298 + 500*x313 + 400*x328
       + 50*x343 + 140*x358 =E= 0;

e46.. x38*x16 + x53*x17 + x68*x18 + x83*x19 + x98*x20 + x113*x21 + x128*x22 + 
      x143*x23 + x158*x24 + x173*x25 + x188*x26 + x203*x27 + x218*x28 + x233*
      x29 + x248*x30 - x375*x8 + 12*x284 + 350*x299 + 500*x314 + 400*x329
       + 50*x344 + 140*x359 =E= 0;

e47.. x39*x16 + x54*x17 + x69*x18 + x84*x19 + x99*x20 + x114*x21 + x129*x22 + 
      x144*x23 + x159*x24 + x174*x25 + x189*x26 + x204*x27 + x219*x28 + x234*
      x29 + x249*x30 - x376*x9 + 12*x285 + 350*x300 + 500*x315 + 400*x330
       + 50*x345 + 140*x360 =E= 0;

e48.. x40*x16 + x55*x17 + x70*x18 + x85*x19 + x100*x20 + x115*x21 + x130*x22 + 
      x145*x23 + x160*x24 + x175*x25 + x190*x26 + x205*x27 + x220*x28 + x235*
      x29 + x250*x30 - x377*x10 + 12*x286 + 350*x301 + 500*x316 + 400*x331
       + 50*x346 + 140*x361 =E= 0;

e49.. x41*x16 + x56*x17 + x71*x18 + x86*x19 + x101*x20 + x116*x21 + x131*x22 + 
      x146*x23 + x161*x24 + x176*x25 + x191*x26 + x206*x27 + x221*x28 + x236*
      x29 + x251*x30 - x378*x11 + 12*x287 + 350*x302 + 500*x317 + 400*x332
       + 50*x347 + 140*x362 =E= 0;

e50.. x42*x16 + x57*x17 + x72*x18 + x87*x19 + x102*x20 + x117*x21 + x132*x22 + 
      x147*x23 + x162*x24 + x177*x25 + x192*x26 + x207*x27 + x222*x28 + x237*
      x29 + x252*x30 - x379*x12 + 12*x288 + 350*x303 + 500*x318 + 400*x333
       + 50*x348 + 140*x363 =E= 0;

e51.. x43*x16 + x58*x17 + x73*x18 + x88*x19 + x103*x20 + x118*x21 + x133*x22 + 
      x148*x23 + x163*x24 + x178*x25 + x193*x26 + x208*x27 + x223*x28 + x238*
      x29 + x253*x30 - x380*x13 + 12*x289 + 350*x304 + 500*x319 + 400*x334
       + 50*x349 + 140*x364 =E= 0;

e52.. x44*x16 + x59*x17 + x74*x18 + x89*x19 + x104*x20 + x119*x21 + x134*x22 + 
      x149*x23 + x164*x24 + x179*x25 + x194*x26 + x209*x27 + x224*x28 + x239*
      x29 + x254*x30 - x381*x14 + 12*x290 + 350*x305 + 500*x320 + 400*x335
       + 50*x350 + 140*x365 =E= 0;

e53.. x45*x16 + x60*x17 + x75*x18 + x90*x19 + x105*x20 + x120*x21 + x135*x22 + 
      x150*x23 + x165*x24 + x180*x25 + x195*x26 + x210*x27 + x225*x28 + x240*
      x29 + x255*x30 - x382*x15 + 12*x291 + 350*x306 + 500*x321 + 400*x336
       + 50*x351 + 140*x366 =E= 0;

e54..    x1 =L= 300;

e55..    x2 =L= 10;

e56..    x3 =L= 500;

e57..    x4 =L= 570;

e58..    x5 =L= 100;

e59..    x6 =L= 300;

e60..    x7 =L= 200;

e61..    x8 =L= 47;

e62..    x9 =L= 200;

e63..    x10 =L= 250;

e64..    x11 =L= 136;

e65..    x12 =L= 50;

e66..    x13 =L= 100;

e67..    x14 =L= 270;

e68..    x15 =L= 10;

e69..  - 0.05*x1 + x16 =E= 0;

e70..  - 0.8*x2 + x17 =E= 0;

e71..  - 0.15*x3 + x18 =E= 0;

e72..  - 0.26*x4 + x19 =E= 0;

e73..  - 0.9*x5 + x20 =E= 0;

e74..  - 0.4*x6 + x21 =E= 0;

e75..  - 0.33*x7 + x22 =E= 0;

e76..  - 0.3*x8 + x23 =E= 0;

e77..  - 0.5*x9 + x24 =E= 0;

e78..  - 0.5*x10 + x25 =E= 0;

e79..  - 0.7*x11 + x26 =E= 0;

e80..  - 0.12*x12 + x27 =E= 0;

e81..  - 0.15*x13 + x28 =E= 0;

e82..  - 0.26*x14 + x29 =E= 0;

e83..  - 0.55*x15 + x30 =E= 0;

e84.. x262*x16 + x263*x17 + x264*x18 + x265*x19 + x266*x20 + x267*x21 + x268*
      x22 + x269*x23 + x270*x24 + x271*x25 + x272*x26 + x273*x27 + x274*x28 + 
      x275*x29 + x276*x30 + 12*x256 + 350*x257 + 500*x258 + 400*x259 + 50*x260
       + 140*x261 - 4*x367 =L= 0;

* set non-default bounds
x1.up = 1000000;
x2.up = 1000000;
x3.up = 1000000;
x4.up = 1000000;
x5.up = 1000000;
x6.up = 1000000;
x7.up = 1000000;
x8.up = 1000000;
x9.up = 1000000;
x10.up = 1000000;
x11.up = 1000000;
x12.up = 1000000;
x13.up = 1000000;
x14.up = 1000000;
x15.up = 1000000;
x16.up = 1000000;
x17.up = 1000000;
x18.up = 1000000;
x19.up = 1000000;
x20.up = 1000000;
x21.up = 1000000;
x22.up = 1000000;
x23.up = 1000000;
x24.up = 1000000;
x25.up = 1000000;
x26.up = 1000000;
x27.up = 1000000;
x28.up = 1000000;
x29.up = 1000000;
x30.up = 1000000;
x31.up = 1000000;
x32.up = 1000000;
x33.up = 1000000;
x34.up = 1000000;
x35.up = 1000000;
x36.up = 1000000;
x37.up = 1000000;
x38.up = 1000000;
x39.up = 1000000;
x40.up = 1000000;
x41.up = 1000000;
x42.up = 1000000;
x43.up = 1000000;
x44.up = 1000000;
x45.up = 1000000;
x46.up = 1000000;
x47.up = 1000000;
x48.up = 1000000;
x49.up = 1000000;
x50.up = 1000000;
x51.up = 1000000;
x52.up = 1000000;
x53.up = 1000000;
x54.up = 1000000;
x55.up = 1000000;
x56.up = 1000000;
x57.up = 1000000;
x58.up = 1000000;
x59.up = 1000000;
x60.up = 1000000;
x61.up = 1000000;
x62.up = 1000000;
x63.up = 1000000;
x64.up = 1000000;
x65.up = 1000000;
x66.up = 1000000;
x67.up = 1000000;
x68.up = 1000000;
x69.up = 1000000;
x70.up = 1000000;
x71.up = 1000000;
x72.up = 1000000;
x73.up = 1000000;
x74.up = 1000000;
x75.up = 1000000;
x76.up = 1000000;
x77.up = 1000000;
x78.up = 1000000;
x79.up = 1000000;
x80.up = 1000000;
x81.up = 1000000;
x82.up = 1000000;
x83.up = 1000000;
x84.up = 1000000;
x85.up = 1000000;
x86.up = 1000000;
x87.up = 1000000;
x88.up = 1000000;
x89.up = 1000000;
x90.up = 1000000;
x91.up = 1000000;
x92.up = 1000000;
x93.up = 1000000;
x94.up = 1000000;
x95.up = 1000000;
x96.up = 1000000;
x97.up = 1000000;
x98.up = 1000000;
x99.up = 1000000;
x100.up = 1000000;
x101.up = 1000000;
x102.up = 1000000;
x103.up = 1000000;
x104.up = 1000000;
x105.up = 1000000;
x106.up = 1000000;
x107.up = 1000000;
x108.up = 1000000;
x109.up = 1000000;
x110.up = 1000000;
x111.up = 1000000;
x112.up = 1000000;
x113.up = 1000000;
x114.up = 1000000;
x115.up = 1000000;
x116.up = 1000000;
x117.up = 1000000;
x118.up = 1000000;
x119.up = 1000000;
x120.up = 1000000;
x121.up = 1000000;
x122.up = 1000000;
x123.up = 1000000;
x124.up = 1000000;
x125.up = 1000000;
x126.up = 1000000;
x127.up = 1000000;
x128.up = 1000000;
x129.up = 1000000;
x130.up = 1000000;
x131.up = 1000000;
x132.up = 1000000;
x133.up = 1000000;
x134.up = 1000000;
x135.up = 1000000;
x136.up = 1000000;
x137.up = 1000000;
x138.up = 1000000;
x139.up = 1000000;
x140.up = 1000000;
x141.up = 1000000;
x142.up = 1000000;
x143.up = 1000000;
x144.up = 1000000;
x145.up = 1000000;
x146.up = 1000000;
x147.up = 1000000;
x148.up = 1000000;
x149.up = 1000000;
x150.up = 1000000;
x151.up = 1000000;
x152.up = 1000000;
x153.up = 1000000;
x154.up = 1000000;
x155.up = 1000000;
x156.up = 1000000;
x157.up = 1000000;
x158.up = 1000000;
x159.up = 1000000;
x160.up = 1000000;
x161.up = 1000000;
x162.up = 1000000;
x163.up = 1000000;
x164.up = 1000000;
x165.up = 1000000;
x166.up = 1000000;
x167.up = 1000000;
x168.up = 1000000;
x169.up = 1000000;
x170.up = 1000000;
x171.up = 1000000;
x172.up = 1000000;
x173.up = 1000000;
x174.up = 1000000;
x175.up = 1000000;
x176.up = 1000000;
x177.up = 1000000;
x178.up = 1000000;
x179.up = 1000000;
x180.up = 1000000;
x181.up = 1000000;
x182.up = 1000000;
x183.up = 1000000;
x184.up = 1000000;
x185.up = 1000000;
x186.up = 1000000;
x187.up = 1000000;
x188.up = 1000000;
x189.up = 1000000;
x190.up = 1000000;
x191.up = 1000000;
x192.up = 1000000;
x193.up = 1000000;
x194.up = 1000000;
x195.up = 1000000;
x196.up = 1000000;
x197.up = 1000000;
x198.up = 1000000;
x199.up = 1000000;
x200.up = 1000000;
x201.up = 1000000;
x202.up = 1000000;
x203.up = 1000000;
x204.up = 1000000;
x205.up = 1000000;
x206.up = 1000000;
x207.up = 1000000;
x208.up = 1000000;
x209.up = 1000000;
x210.up = 1000000;
x211.up = 1000000;
x212.up = 1000000;
x213.up = 1000000;
x214.up = 1000000;
x215.up = 1000000;
x216.up = 1000000;
x217.up = 1000000;
x218.up = 1000000;
x219.up = 1000000;
x220.up = 1000000;
x221.up = 1000000;
x222.up = 1000000;
x223.up = 1000000;
x224.up = 1000000;
x225.up = 1000000;
x226.up = 1000000;
x227.up = 1000000;
x228.up = 1000000;
x229.up = 1000000;
x230.up = 1000000;
x231.up = 1000000;
x232.up = 1000000;
x233.up = 1000000;
x234.up = 1000000;
x235.up = 1000000;
x236.up = 1000000;
x237.up = 1000000;
x238.up = 1000000;
x239.up = 1000000;
x240.up = 1000000;
x241.up = 1000000;
x242.up = 1000000;
x243.up = 1000000;
x244.up = 1000000;
x245.up = 1000000;
x246.up = 1000000;
x247.up = 1000000;
x248.up = 1000000;
x249.up = 1000000;
x250.up = 1000000;
x251.up = 1000000;
x252.up = 1000000;
x253.up = 1000000;
x254.up = 1000000;
x255.up = 1000000;
x256.up = 1000000;
x257.up = 1000000;
x258.up = 1000000;
x259.up = 1000000;
x260.up = 1000000;
x261.up = 1000000;
x262.up = 1000000;
x263.up = 1000000;
x264.up = 1000000;
x265.up = 1000000;
x266.up = 1000000;
x267.up = 1000000;
x268.up = 1000000;
x269.up = 1000000;
x270.up = 1000000;
x271.up = 1000000;
x272.up = 1000000;
x273.up = 1000000;
x274.up = 1000000;
x275.up = 1000000;
x276.up = 1000000;
x277.up = 1000000;
x278.up = 1000000;
x279.up = 1000000;
x280.up = 1000000;
x281.up = 1000000;
x282.up = 1000000;
x283.up = 1000000;
x284.up = 1000000;
x285.up = 1000000;
x286.up = 1000000;
x287.up = 1000000;
x288.up = 1000000;
x289.up = 1000000;
x290.up = 1000000;
x291.up = 1000000;
x292.up = 1000000;
x293.up = 1000000;
x294.up = 1000000;
x295.up = 1000000;
x296.up = 1000000;
x297.up = 1000000;
x298.up = 1000000;
x299.up = 1000000;
x300.up = 1000000;
x301.up = 1000000;
x302.up = 1000000;
x303.up = 1000000;
x304.up = 1000000;
x305.up = 1000000;
x306.up = 1000000;
x307.up = 1000000;
x308.up = 1000000;
x309.up = 1000000;
x310.up = 1000000;
x311.up = 1000000;
x312.up = 1000000;
x313.up = 1000000;
x314.up = 1000000;
x315.up = 1000000;
x316.up = 1000000;
x317.up = 1000000;
x318.up = 1000000;
x319.up = 1000000;
x320.up = 1000000;
x321.up = 1000000;
x322.up = 1000000;
x323.up = 1000000;
x324.up = 1000000;
x325.up = 1000000;
x326.up = 1000000;
x327.up = 1000000;
x328.up = 1000000;
x329.up = 1000000;
x330.up = 1000000;
x331.up = 1000000;
x332.up = 1000000;
x333.up = 1000000;
x334.up = 1000000;
x335.up = 1000000;
x336.up = 1000000;
x337.up = 1000000;
x338.up = 1000000;
x339.up = 1000000;
x340.up = 1000000;
x341.up = 1000000;
x342.up = 1000000;
x343.up = 1000000;
x344.up = 1000000;
x345.up = 1000000;
x346.up = 1000000;
x347.up = 1000000;
x348.up = 1000000;
x349.up = 1000000;
x350.up = 1000000;
x351.up = 1000000;
x352.up = 1000000;
x353.up = 1000000;
x354.up = 1000000;
x355.up = 1000000;
x356.up = 1000000;
x357.up = 1000000;
x358.up = 1000000;
x359.up = 1000000;
x360.up = 1000000;
x361.up = 1000000;
x362.up = 1000000;
x363.up = 1000000;
x364.up = 1000000;
x365.up = 1000000;
x366.up = 1000000;
x367.up = 1000000;
x368.up = 1000000;
x369.up = 1000000;
x370.up = 1000000;
x371.up = 1000000;
x372.up = 1000000;
x373.up = 1000000;
x374.up = 1000000;
x375.up = 1000000;
x376.up = 1000000;
x377.up = 1000000;
x378.up = 1000000;
x379.up = 1000000;
x380.up = 1000000;
x381.up = 1000000;
x382.up = 1000000;

Model m / all /;

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

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

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


Last updated: 2022-10-14 Git hash: 2be6d7c0
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