MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance casctanks
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 8.45149003 (ANTIGONE) 9.16347284 (BARON) 8.23708376 (COUENNE) 8.69933415 (GUROBI) 9.04416748 (LINDO) 9.16332010 (SCIP) 0.00000000 (SHOT) 9.16340850 (XPRESS) |
| Referencesⓘ | Gopalakrishnan, Ajit and Biegler, L T, MINLP and MPCC formulations for the cascading tanks problem, 2011. |
| Sourceⓘ | Tank_MINLP2.gms from minlp.org model 140 |
| Applicationⓘ | Cascading Tanks |
| Added to libraryⓘ | 25 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 500 |
| #Binary Variablesⓘ | 40 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 300 |
| #Nonlinear Binary Variablesⓘ | 40 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | polynomial |
| Objective curvatureⓘ | indefinite |
| #Nonzeros in Objectiveⓘ | 80 |
| #Nonlinear Nonzeros in Objectiveⓘ | 80 |
| #Constraintsⓘ | 517 |
| #Linear Constraintsⓘ | 300 |
| #Quadratic Constraintsⓘ | 157 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 60 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1525 |
| #Nonlinear Nonzeros in Jacobianⓘ | 434 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 560 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 120 |
| #Blocks in Hessian of Lagrangianⓘ | 80 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 2 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 9 |
| Average blocksize in Hessian of Lagrangianⓘ | 3.75 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.0000e-01 |
| Maximal coefficientⓘ | 1.0000e+00 |
| Infeasibility of initial pointⓘ | 9 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 518 358 80 80 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 501 461 40 0 0 0 0 0
* FX 7
*
* Nonzero counts
* Total const NL DLL
* 1606 1092 514 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,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,x383,x384,x385,x386,x387,x388,x389
,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401,x402
,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414,x415
,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427,x428
,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440,x441
,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453,x454
,x455,x456,x457,x458,x459,x460,b461,b462,b463,b464,b465,b466,b467
,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477,b478,b479,b480
,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490,b491,b492,b493
,b494,b495,b496,b497,b498,b499,b500,objvar;
Positive Variables 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,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,x302,x303,x304,x305,x306,x307
,x308,x309,x310,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320
,x322,x323,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334
,x335,x336,x337,x338,x339,x340,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,x383,x384,x385,x386,x387
,x388,x389,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400
,x401,x402,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413
,x414,x415,x416,x417,x418,x419,x420,x422,x423,x424,x425,x426,x427
,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440
,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453
,x454,x455,x456,x457,x458,x459,x460;
Binary Variables b461,b462,b463,b464,b465,b466,b467,b468,b469,b470,b471,b472
,b473,b474,b475,b476,b477,b478,b479,b480,b481,b482,b483,b484,b485
,b486,b487,b488,b489,b490,b491,b492,b493,b494,b495,b496,b497,b498
,b499,b500;
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,e203,e204,e205,e206,e207
,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518;
e1.. -x1*x361 + x101 - x301 =E= 0;
e2.. -x2*x362 + x102 - x302 =E= 0;
e3.. -x3*x363 + x103 - x303 =E= 0;
e4.. -x4*x364 + x104 - x304 =E= 0;
e5.. -x5*x365 + x105 - x305 =E= 0;
e6.. -x6*x366 + x106 - x306 =E= 0;
e7.. -x7*x367 + x107 - x307 =E= 0;
e8.. -x8*x368 + x108 - x308 =E= 0;
e9.. -x9*x369 + x109 - x309 =E= 0;
e10.. -x10*x370 + x110 - x310 =E= 0;
e11.. -x11*x371 + x111 - x311 =E= 0;
e12.. -x12*x372 + x112 - x312 =E= 0;
e13.. -x13*x373 + x113 - x313 =E= 0;
e14.. -x14*x374 + x114 - x314 =E= 0;
e15.. -x15*x375 + x115 - x315 =E= 0;
e16.. -x16*x376 + x116 - x316 =E= 0;
e17.. -x17*x377 + x117 - x317 =E= 0;
e18.. -x18*x378 + x118 - x318 =E= 0;
e19.. -x19*x379 + x119 - x319 =E= 0;
e20.. -x20*x380 + x120 - x320 =E= 0;
e21.. -x1*x381 + x121 - x321 =E= 0;
e22.. -x2*x382 + x122 - x322 =E= 0;
e23.. -x3*x383 + x123 - x323 =E= 0;
e24.. -x4*x384 + x124 - x324 =E= 0;
e25.. -x5*x385 + x125 - x325 =E= 0;
e26.. -x6*x386 + x126 - x326 =E= 0;
e27.. -x7*x387 + x127 - x327 =E= 0;
e28.. -x8*x388 + x128 - x328 =E= 0;
e29.. -x9*x389 + x129 - x329 =E= 0;
e30.. -x10*x390 + x130 - x330 =E= 0;
e31.. -x11*x391 + x131 - x331 =E= 0;
e32.. -x12*x392 + x132 - x332 =E= 0;
e33.. -x13*x393 + x133 - x333 =E= 0;
e34.. -x14*x394 + x134 - x334 =E= 0;
e35.. -x15*x395 + x135 - x335 =E= 0;
e36.. -x16*x396 + x136 - x336 =E= 0;
e37.. -x17*x397 + x137 - x337 =E= 0;
e38.. -x18*x398 + x138 - x338 =E= 0;
e39.. -x19*x399 + x139 - x339 =E= 0;
e40.. -x20*x400 + x140 - x340 =E= 0;
e41.. -x1*x401 + x141 - x341 =E= 0;
e42.. -x2*x402 + x142 - x342 =E= 0;
e43.. -x3*x403 + x143 - x343 =E= 0;
e44.. -x4*x404 + x144 - x344 =E= 0;
e45.. -x5*x405 + x145 - x345 =E= 0;
e46.. -x6*x406 + x146 - x346 =E= 0;
e47.. -x7*x407 + x147 - x347 =E= 0;
e48.. -x8*x408 + x148 - x348 =E= 0;
e49.. -x9*x409 + x149 - x349 =E= 0;
e50.. -x10*x410 + x150 - x350 =E= 0;
e51.. -x11*x411 + x151 - x351 =E= 0;
e52.. -x12*x412 + x152 - x352 =E= 0;
e53.. -x13*x413 + x153 - x353 =E= 0;
e54.. -x14*x414 + x154 - x354 =E= 0;
e55.. -x15*x415 + x155 - x355 =E= 0;
e56.. -x16*x416 + x156 - x356 =E= 0;
e57.. -x17*x417 + x157 - x357 =E= 0;
e58.. -x18*x418 + x158 - x358 =E= 0;
e59.. -x19*x419 + x159 - x359 =E= 0;
e60.. -x20*x420 + x160 - x360 =E= 0;
e61.. x21 - 0.1*x161 =E= 0;
e62.. x22 - 0.1*x162 =E= 0;
e63.. x23 - 0.1*x163 =E= 0;
e64.. x24 - 0.1*x164 =E= 0;
e65.. x25 - 0.1*x165 =E= 0;
e66.. x26 - 0.1*x166 =E= 0;
e67.. x27 - 0.1*x167 =E= 0;
e68.. x28 - 0.1*x168 =E= 0;
e69.. x29 - 0.1*x169 =E= 0;
e70.. x30 - 0.1*x170 =E= 0;
e71.. x31 - 0.1*x171 =E= 0;
e72.. x32 - 0.1*x172 =E= 0;
e73.. x33 - 0.1*x173 =E= 0;
e74.. x34 - 0.1*x174 =E= 0;
e75.. x35 - 0.1*x175 =E= 0;
e76.. x36 - 0.1*x176 =E= 0;
e77.. x37 - 0.1*x177 =E= 0;
e78.. x38 - 0.1*x178 =E= 0;
e79.. x39 - 0.1*x179 =E= 0;
e80.. x40 - 0.1*x180 =E= 0;
e81.. -0.1*sqrt(x241)*x181 + x41 =E= 0;
e82.. -0.1*sqrt(x242)*x182 + x42 =E= 0;
e83.. -0.1*sqrt(x243)*x183 + x43 =E= 0;
e84.. -0.1*sqrt(x244)*x184 + x44 =E= 0;
e85.. -0.1*sqrt(x245)*x185 + x45 =E= 0;
e86.. -0.1*sqrt(x246)*x186 + x46 =E= 0;
e87.. -0.1*sqrt(x247)*x187 + x47 =E= 0;
e88.. -0.1*sqrt(x248)*x188 + x48 =E= 0;
e89.. -0.1*sqrt(x249)*x189 + x49 =E= 0;
e90.. -0.1*sqrt(x250)*x190 + x50 =E= 0;
e91.. -0.1*sqrt(x251)*x191 + x51 =E= 0;
e92.. -0.1*sqrt(x252)*x192 + x52 =E= 0;
e93.. -0.1*sqrt(x253)*x193 + x53 =E= 0;
e94.. -0.1*sqrt(x254)*x194 + x54 =E= 0;
e95.. -0.1*sqrt(x255)*x195 + x55 =E= 0;
e96.. -0.1*sqrt(x256)*x196 + x56 =E= 0;
e97.. -0.1*sqrt(x257)*x197 + x57 =E= 0;
e98.. -0.1*sqrt(x258)*x198 + x58 =E= 0;
e99.. -0.1*sqrt(x259)*x199 + x59 =E= 0;
e100.. -0.1*sqrt(x260)*x200 + x60 =E= 0;
e101.. -0.1*sqrt(x261)*x201 + x61 =E= 0;
e102.. -0.1*sqrt(x262)*x202 + x62 =E= 0;
e103.. -0.1*sqrt(x263)*x203 + x63 =E= 0;
e104.. -0.1*sqrt(x264)*x204 + x64 =E= 0;
e105.. -0.1*sqrt(x265)*x205 + x65 =E= 0;
e106.. -0.1*sqrt(x266)*x206 + x66 =E= 0;
e107.. -0.1*sqrt(x267)*x207 + x67 =E= 0;
e108.. -0.1*sqrt(x268)*x208 + x68 =E= 0;
e109.. -0.1*sqrt(x269)*x209 + x69 =E= 0;
e110.. -0.1*sqrt(x270)*x210 + x70 =E= 0;
e111.. -0.1*sqrt(x271)*x211 + x71 =E= 0;
e112.. -0.1*sqrt(x272)*x212 + x72 =E= 0;
e113.. -0.1*sqrt(x273)*x213 + x73 =E= 0;
e114.. -0.1*sqrt(x274)*x214 + x74 =E= 0;
e115.. -0.1*sqrt(x275)*x215 + x75 =E= 0;
e116.. -0.1*sqrt(x276)*x216 + x76 =E= 0;
e117.. -0.1*sqrt(x277)*x217 + x77 =E= 0;
e118.. -0.1*sqrt(x278)*x218 + x78 =E= 0;
e119.. -0.1*sqrt(x279)*x219 + x79 =E= 0;
e120.. -0.1*sqrt(x280)*x220 + x80 =E= 0;
e121.. -0.1*sqrt(x281)*x221 + x81 =E= 0;
e122.. -0.1*sqrt(x282)*x222 + x82 =E= 0;
e123.. -0.1*sqrt(x283)*x223 + x83 =E= 0;
e124.. -0.1*sqrt(x284)*x224 + x84 =E= 0;
e125.. -0.1*sqrt(x285)*x225 + x85 =E= 0;
e126.. -0.1*sqrt(x286)*x226 + x86 =E= 0;
e127.. -0.1*sqrt(x287)*x227 + x87 =E= 0;
e128.. -0.1*sqrt(x288)*x228 + x88 =E= 0;
e129.. -0.1*sqrt(x289)*x229 + x89 =E= 0;
e130.. -0.1*sqrt(x290)*x230 + x90 =E= 0;
e131.. -0.1*sqrt(x291)*x231 + x91 =E= 0;
e132.. -0.1*sqrt(x292)*x232 + x92 =E= 0;
e133.. -0.1*sqrt(x293)*x233 + x93 =E= 0;
e134.. -0.1*sqrt(x294)*x234 + x94 =E= 0;
e135.. -0.1*sqrt(x295)*x235 + x95 =E= 0;
e136.. -0.1*sqrt(x296)*x236 + x96 =E= 0;
e137.. -0.1*sqrt(x297)*x237 + x97 =E= 0;
e138.. -0.1*sqrt(x298)*x238 + x98 =E= 0;
e139.. -0.1*sqrt(x299)*x239 + x99 =E= 0;
e140.. -0.1*sqrt(x300)*x240 + x100 =E= 0;
e141.. - x141 + x281 =E= 0;
e142.. - x142 + x282 =E= 0;
e143.. - x143 + x283 =E= 0;
e144.. - x144 + x284 =E= 0;
e145.. - x145 + x285 =E= 0;
e146.. - x146 + x286 =E= 0;
e147.. - x147 + x287 =E= 0;
e148.. - x148 + x288 =E= 0;
e149.. - x149 + x289 =E= 0;
e150.. - x150 + x290 =E= 0;
e151.. - x151 + x291 =E= 0;
e152.. - x152 + x292 =E= 0;
e153.. - x153 + x293 =E= 0;
e154.. - x154 + x294 =E= 0;
e155.. - x155 + x295 =E= 0;
e156.. - x156 + x296 =E= 0;
e157.. - x157 + x297 =E= 0;
e158.. - x158 + x298 =E= 0;
e159.. - x159 + x299 =E= 0;
e160.. - x160 + x300 =E= 0;
e161.. - 0.5*x21 + 0.5*x41 + x361 =E= 0;
e162.. - 0.5*x22 + 0.5*x42 + x362 =E= 0;
e163.. - 0.5*x23 + 0.5*x43 + x363 =E= 0;
e164.. - 0.5*x24 + 0.5*x44 + x364 =E= 0;
e165.. - 0.5*x25 + 0.5*x45 + x365 =E= 0;
e166.. - 0.5*x26 + 0.5*x46 + x366 =E= 0;
e167.. - 0.5*x27 + 0.5*x47 + x367 =E= 0;
e168.. - 0.5*x28 + 0.5*x48 + x368 =E= 0;
e169.. - 0.5*x29 + 0.5*x49 + x369 =E= 0;
e170.. - 0.5*x30 + 0.5*x50 + x370 =E= 0;
e171.. - 0.5*x31 + 0.5*x51 + x371 =E= 0;
e172.. - 0.5*x32 + 0.5*x52 + x372 =E= 0;
e173.. - 0.5*x33 + 0.5*x53 + x373 =E= 0;
e174.. - 0.5*x34 + 0.5*x54 + x374 =E= 0;
e175.. - 0.5*x35 + 0.5*x55 + x375 =E= 0;
e176.. - 0.5*x36 + 0.5*x56 + x376 =E= 0;
e177.. - 0.5*x37 + 0.5*x57 + x377 =E= 0;
e178.. - 0.5*x38 + 0.5*x58 + x378 =E= 0;
e179.. - 0.5*x39 + 0.5*x59 + x379 =E= 0;
e180.. - 0.5*x40 + 0.5*x60 + x380 =E= 0;
e181.. - 0.5*x41 + 0.5*x61 + x381 =E= 0;
e182.. - 0.5*x42 + 0.5*x62 + x382 =E= 0;
e183.. - 0.5*x43 + 0.5*x63 + x383 =E= 0;
e184.. - 0.5*x44 + 0.5*x64 + x384 =E= 0;
e185.. - 0.5*x45 + 0.5*x65 + x385 =E= 0;
e186.. - 0.5*x46 + 0.5*x66 + x386 =E= 0;
e187.. - 0.5*x47 + 0.5*x67 + x387 =E= 0;
e188.. - 0.5*x48 + 0.5*x68 + x388 =E= 0;
e189.. - 0.5*x49 + 0.5*x69 + x389 =E= 0;
e190.. - 0.5*x50 + 0.5*x70 + x390 =E= 0;
e191.. - 0.5*x51 + 0.5*x71 + x391 =E= 0;
e192.. - 0.5*x52 + 0.5*x72 + x392 =E= 0;
e193.. - 0.5*x53 + 0.5*x73 + x393 =E= 0;
e194.. - 0.5*x54 + 0.5*x74 + x394 =E= 0;
e195.. - 0.5*x55 + 0.5*x75 + x395 =E= 0;
e196.. - 0.5*x56 + 0.5*x76 + x396 =E= 0;
e197.. - 0.5*x57 + 0.5*x77 + x397 =E= 0;
e198.. - 0.5*x58 + 0.5*x78 + x398 =E= 0;
e199.. - 0.5*x59 + 0.5*x79 + x399 =E= 0;
e200.. - 0.5*x60 + 0.5*x80 + x400 =E= 0;
e201.. - 0.5*x61 + 0.5*x81 + x401 =E= 0;
e202.. - 0.5*x62 + 0.5*x82 + x402 =E= 0;
e203.. - 0.5*x63 + 0.5*x83 + x403 =E= 0;
e204.. - 0.5*x64 + 0.5*x84 + x404 =E= 0;
e205.. - 0.5*x65 + 0.5*x85 + x405 =E= 0;
e206.. - 0.5*x66 + 0.5*x86 + x406 =E= 0;
e207.. - 0.5*x67 + 0.5*x87 + x407 =E= 0;
e208.. - 0.5*x68 + 0.5*x88 + x408 =E= 0;
e209.. - 0.5*x69 + 0.5*x89 + x409 =E= 0;
e210.. - 0.5*x70 + 0.5*x90 + x410 =E= 0;
e211.. - 0.5*x71 + 0.5*x91 + x411 =E= 0;
e212.. - 0.5*x72 + 0.5*x92 + x412 =E= 0;
e213.. - 0.5*x73 + 0.5*x93 + x413 =E= 0;
e214.. - 0.5*x74 + 0.5*x94 + x414 =E= 0;
e215.. - 0.5*x75 + 0.5*x95 + x415 =E= 0;
e216.. - 0.5*x76 + 0.5*x96 + x416 =E= 0;
e217.. - 0.5*x77 + 0.5*x97 + x417 =E= 0;
e218.. - 0.5*x78 + 0.5*x98 + x418 =E= 0;
e219.. - 0.5*x79 + 0.5*x99 + x419 =E= 0;
e220.. - 0.5*x80 + 0.5*x100 + x420 =E= 0;
e221.. -x1*x361 - x301 + x302 =E= 0;
e222.. -x2*x362 - x302 + x303 =E= 0;
e223.. -x3*x363 - x303 + x304 =E= 0;
e224.. -x4*x364 - x304 + x305 =E= 0;
e225.. -x5*x365 - x305 + x306 =E= 0;
e226.. -x6*x366 - x306 + x307 =E= 0;
e227.. -x7*x367 - x307 + x308 =E= 0;
e228.. -x8*x368 - x308 + x309 =E= 0;
e229.. -x9*x369 - x309 + x310 =E= 0;
e230.. -x10*x370 - x310 + x311 =E= 0;
e231.. -x11*x371 - x311 + x312 =E= 0;
e232.. -x12*x372 - x312 + x313 =E= 0;
e233.. -x13*x373 - x313 + x314 =E= 0;
e234.. -x14*x374 - x314 + x315 =E= 0;
e235.. -x15*x375 - x315 + x316 =E= 0;
e236.. -x16*x376 - x316 + x317 =E= 0;
e237.. -x17*x377 - x317 + x318 =E= 0;
e238.. -x18*x378 - x318 + x319 =E= 0;
e239.. -x19*x379 - x319 + x320 =E= 0;
e240.. -x1*x381 - x321 + x322 =E= 0;
e241.. -x2*x382 - x322 + x323 =E= 0;
e242.. -x3*x383 - x323 + x324 =E= 0;
e243.. -x4*x384 - x324 + x325 =E= 0;
e244.. -x5*x385 - x325 + x326 =E= 0;
e245.. -x6*x386 - x326 + x327 =E= 0;
e246.. -x7*x387 - x327 + x328 =E= 0;
e247.. -x8*x388 - x328 + x329 =E= 0;
e248.. -x9*x389 - x329 + x330 =E= 0;
e249.. -x10*x390 - x330 + x331 =E= 0;
e250.. -x11*x391 - x331 + x332 =E= 0;
e251.. -x12*x392 - x332 + x333 =E= 0;
e252.. -x13*x393 - x333 + x334 =E= 0;
e253.. -x14*x394 - x334 + x335 =E= 0;
e254.. -x15*x395 - x335 + x336 =E= 0;
e255.. -x16*x396 - x336 + x337 =E= 0;
e256.. -x17*x397 - x337 + x338 =E= 0;
e257.. -x18*x398 - x338 + x339 =E= 0;
e258.. -x19*x399 - x339 + x340 =E= 0;
e259.. -x1*x401 - x341 + x342 =E= 0;
e260.. -x2*x402 - x342 + x343 =E= 0;
e261.. -x3*x403 - x343 + x344 =E= 0;
e262.. -x4*x404 - x344 + x345 =E= 0;
e263.. -x5*x405 - x345 + x346 =E= 0;
e264.. -x6*x406 - x346 + x347 =E= 0;
e265.. -x7*x407 - x347 + x348 =E= 0;
e266.. -x8*x408 - x348 + x349 =E= 0;
e267.. -x9*x409 - x349 + x350 =E= 0;
e268.. -x10*x410 - x350 + x351 =E= 0;
e269.. -x11*x411 - x351 + x352 =E= 0;
e270.. -x12*x412 - x352 + x353 =E= 0;
e271.. -x13*x413 - x353 + x354 =E= 0;
e272.. -x14*x414 - x354 + x355 =E= 0;
e273.. -x15*x415 - x355 + x356 =E= 0;
e274.. -x16*x416 - x356 + x357 =E= 0;
e275.. -x17*x417 - x357 + x358 =E= 0;
e276.. -x18*x418 - x358 + x359 =E= 0;
e277.. -x19*x419 - x359 + x360 =E= 0;
e278.. - x1 - x421 + x441 =E= 0;
e279.. - x2 - x422 + x442 =E= 0;
e280.. - x3 - x423 + x443 =E= 0;
e281.. - x4 - x424 + x444 =E= 0;
e282.. - x5 - x425 + x445 =E= 0;
e283.. - x6 - x426 + x446 =E= 0;
e284.. - x7 - x427 + x447 =E= 0;
e285.. - x8 - x428 + x448 =E= 0;
e286.. - x9 - x429 + x449 =E= 0;
e287.. - x10 - x430 + x450 =E= 0;
e288.. - x11 - x431 + x451 =E= 0;
e289.. - x12 - x432 + x452 =E= 0;
e290.. - x13 - x433 + x453 =E= 0;
e291.. - x14 - x434 + x454 =E= 0;
e292.. - x15 - x435 + x455 =E= 0;
e293.. - x16 - x436 + x456 =E= 0;
e294.. - x17 - x437 + x457 =E= 0;
e295.. - x18 - x438 + x458 =E= 0;
e296.. - x19 - x439 + x459 =E= 0;
e297.. - x20 - x440 + x460 =E= 0;
e298.. - x1 - x421 + x422 =E= 0;
e299.. - x2 - x422 + x423 =E= 0;
e300.. - x3 - x423 + x424 =E= 0;
e301.. - x4 - x424 + x425 =E= 0;
e302.. - x5 - x425 + x426 =E= 0;
e303.. - x6 - x426 + x427 =E= 0;
e304.. - x7 - x427 + x428 =E= 0;
e305.. - x8 - x428 + x429 =E= 0;
e306.. - x9 - x429 + x430 =E= 0;
e307.. - x10 - x430 + x431 =E= 0;
e308.. - x11 - x431 + x432 =E= 0;
e309.. - x12 - x432 + x433 =E= 0;
e310.. - x13 - x433 + x434 =E= 0;
e311.. - x14 - x434 + x435 =E= 0;
e312.. - x15 - x435 + x436 =E= 0;
e313.. - x16 - x436 + x437 =E= 0;
e314.. - x17 - x437 + x438 =E= 0;
e315.. - x18 - x438 + x439 =E= 0;
e316.. - x19 - x439 + x440 =E= 0;
e317.. (-0.5 + x121)*b461 - x101 + x241 =E= 0;
e318.. (-0.5 + x122)*b462 - x102 + x242 =E= 0;
e319.. (-0.5 + x123)*b463 - x103 + x243 =E= 0;
e320.. (-0.5 + x124)*b464 - x104 + x244 =E= 0;
e321.. (-0.5 + x125)*b465 - x105 + x245 =E= 0;
e322.. (-0.5 + x126)*b466 - x106 + x246 =E= 0;
e323.. (-0.5 + x127)*b467 - x107 + x247 =E= 0;
e324.. (-0.5 + x128)*b468 - x108 + x248 =E= 0;
e325.. (-0.5 + x129)*b469 - x109 + x249 =E= 0;
e326.. (-0.5 + x130)*b470 - x110 + x250 =E= 0;
e327.. (-0.5 + x131)*b471 - x111 + x251 =E= 0;
e328.. (-0.5 + x132)*b472 - x112 + x252 =E= 0;
e329.. (-0.5 + x133)*b473 - x113 + x253 =E= 0;
e330.. (-0.5 + x134)*b474 - x114 + x254 =E= 0;
e331.. (-0.5 + x135)*b475 - x115 + x255 =E= 0;
e332.. (-0.5 + x136)*b476 - x116 + x256 =E= 0;
e333.. (-0.5 + x137)*b477 - x117 + x257 =E= 0;
e334.. (-0.5 + x138)*b478 - x118 + x258 =E= 0;
e335.. (-0.5 + x139)*b479 - x119 + x259 =E= 0;
e336.. (-0.5 + x140)*b480 - x120 + x260 =E= 0;
e337.. (-0.5 + x141)*b481 - x121 + x261 =E= 0;
e338.. (-0.5 + x142)*b482 - x122 + x262 =E= 0;
e339.. (-0.5 + x143)*b483 - x123 + x263 =E= 0;
e340.. (-0.5 + x144)*b484 - x124 + x264 =E= 0;
e341.. (-0.5 + x145)*b485 - x125 + x265 =E= 0;
e342.. (-0.5 + x146)*b486 - x126 + x266 =E= 0;
e343.. (-0.5 + x147)*b487 - x127 + x267 =E= 0;
e344.. (-0.5 + x148)*b488 - x128 + x268 =E= 0;
e345.. (-0.5 + x149)*b489 - x129 + x269 =E= 0;
e346.. (-0.5 + x150)*b490 - x130 + x270 =E= 0;
e347.. (-0.5 + x151)*b491 - x131 + x271 =E= 0;
e348.. (-0.5 + x152)*b492 - x132 + x272 =E= 0;
e349.. (-0.5 + x153)*b493 - x133 + x273 =E= 0;
e350.. (-0.5 + x154)*b494 - x134 + x274 =E= 0;
e351.. (-0.5 + x155)*b495 - x135 + x275 =E= 0;
e352.. (-0.5 + x156)*b496 - x136 + x276 =E= 0;
e353.. (-0.5 + x157)*b497 - x137 + x277 =E= 0;
e354.. (-0.5 + x158)*b498 - x138 + x278 =E= 0;
e355.. (-0.5 + x159)*b499 - x139 + x279 =E= 0;
e356.. (-0.5 + x160)*b500 - x140 + x280 =E= 0;
e357.. x121 - b461 =L= 0.5;
e358.. x122 - b462 =L= 0.5;
e359.. x123 - b463 =L= 0.5;
e360.. x124 - b464 =L= 0.5;
e361.. x125 - b465 =L= 0.5;
e362.. x126 - b466 =L= 0.5;
e363.. x127 - b467 =L= 0.5;
e364.. x128 - b468 =L= 0.5;
e365.. x129 - b469 =L= 0.5;
e366.. x130 - b470 =L= 0.5;
e367.. x131 - b471 =L= 0.5;
e368.. x132 - b472 =L= 0.5;
e369.. x133 - b473 =L= 0.5;
e370.. x134 - b474 =L= 0.5;
e371.. x135 - b475 =L= 0.5;
e372.. x136 - b476 =L= 0.5;
e373.. x137 - b477 =L= 0.5;
e374.. x138 - b478 =L= 0.5;
e375.. x139 - b479 =L= 0.5;
e376.. x140 - b480 =L= 0.5;
e377.. x141 - b481 =L= 0.5;
e378.. x142 - b482 =L= 0.5;
e379.. x143 - b483 =L= 0.5;
e380.. x144 - b484 =L= 0.5;
e381.. x145 - b485 =L= 0.5;
e382.. x146 - b486 =L= 0.5;
e383.. x147 - b487 =L= 0.5;
e384.. x148 - b488 =L= 0.5;
e385.. x149 - b489 =L= 0.5;
e386.. x150 - b490 =L= 0.5;
e387.. x151 - b491 =L= 0.5;
e388.. x152 - b492 =L= 0.5;
e389.. x153 - b493 =L= 0.5;
e390.. x154 - b494 =L= 0.5;
e391.. x155 - b495 =L= 0.5;
e392.. x156 - b496 =L= 0.5;
e393.. x157 - b497 =L= 0.5;
e394.. x158 - b498 =L= 0.5;
e395.. x159 - b499 =L= 0.5;
e396.. x160 - b500 =L= 0.5;
e397.. x121 - b461 =G= -0.5;
e398.. x122 - b462 =G= -0.5;
e399.. x123 - b463 =G= -0.5;
e400.. x124 - b464 =G= -0.5;
e401.. x125 - b465 =G= -0.5;
e402.. x126 - b466 =G= -0.5;
e403.. x127 - b467 =G= -0.5;
e404.. x128 - b468 =G= -0.5;
e405.. x129 - b469 =G= -0.5;
e406.. x130 - b470 =G= -0.5;
e407.. x131 - b471 =G= -0.5;
e408.. x132 - b472 =G= -0.5;
e409.. x133 - b473 =G= -0.5;
e410.. x134 - b474 =G= -0.5;
e411.. x135 - b475 =G= -0.5;
e412.. x136 - b476 =G= -0.5;
e413.. x137 - b477 =G= -0.5;
e414.. x138 - b478 =G= -0.5;
e415.. x139 - b479 =G= -0.5;
e416.. x140 - b480 =G= -0.5;
e417.. x141 - b481 =G= -0.5;
e418.. x142 - b482 =G= -0.5;
e419.. x143 - b483 =G= -0.5;
e420.. x144 - b484 =G= -0.5;
e421.. x145 - b485 =G= -0.5;
e422.. x146 - b486 =G= -0.5;
e423.. x147 - b487 =G= -0.5;
e424.. x148 - b488 =G= -0.5;
e425.. x149 - b489 =G= -0.5;
e426.. x150 - b490 =G= -0.5;
e427.. x151 - b491 =G= -0.5;
e428.. x152 - b492 =G= -0.5;
e429.. x153 - b493 =G= -0.5;
e430.. x154 - b494 =G= -0.5;
e431.. x155 - b495 =G= -0.5;
e432.. x156 - b496 =G= -0.5;
e433.. x157 - b497 =G= -0.5;
e434.. x158 - b498 =G= -0.5;
e435.. x159 - b499 =G= -0.5;
e436.. x160 - b500 =G= -0.5;
e437.. x321 - b461 =L= 0.5;
e438.. x322 - b462 =L= 0.5;
e439.. x323 - b463 =L= 0.5;
e440.. x324 - b464 =L= 0.5;
e441.. x325 - b465 =L= 0.5;
e442.. x326 - b466 =L= 0.5;
e443.. x327 - b467 =L= 0.5;
e444.. x328 - b468 =L= 0.5;
e445.. x329 - b469 =L= 0.5;
e446.. x330 - b470 =L= 0.5;
e447.. x331 - b471 =L= 0.5;
e448.. x332 - b472 =L= 0.5;
e449.. x333 - b473 =L= 0.5;
e450.. x334 - b474 =L= 0.5;
e451.. x335 - b475 =L= 0.5;
e452.. x336 - b476 =L= 0.5;
e453.. x337 - b477 =L= 0.5;
e454.. x338 - b478 =L= 0.5;
e455.. x339 - b479 =L= 0.5;
e456.. x340 - b480 =L= 0.5;
e457.. x341 - b481 =L= 0.5;
e458.. x342 - b482 =L= 0.5;
e459.. x343 - b483 =L= 0.5;
e460.. x344 - b484 =L= 0.5;
e461.. x345 - b485 =L= 0.5;
e462.. x346 - b486 =L= 0.5;
e463.. x347 - b487 =L= 0.5;
e464.. x348 - b488 =L= 0.5;
e465.. x349 - b489 =L= 0.5;
e466.. x350 - b490 =L= 0.5;
e467.. x351 - b491 =L= 0.5;
e468.. x352 - b492 =L= 0.5;
e469.. x353 - b493 =L= 0.5;
e470.. x354 - b494 =L= 0.5;
e471.. x355 - b495 =L= 0.5;
e472.. x356 - b496 =L= 0.5;
e473.. x357 - b497 =L= 0.5;
e474.. x358 - b498 =L= 0.5;
e475.. x359 - b499 =L= 0.5;
e476.. x360 - b500 =L= 0.5;
e477.. x321 - b461 =G= -0.5;
e478.. x322 - b462 =G= -0.5;
e479.. x323 - b463 =G= -0.5;
e480.. x324 - b464 =G= -0.5;
e481.. x325 - b465 =G= -0.5;
e482.. x326 - b466 =G= -0.5;
e483.. x327 - b467 =G= -0.5;
e484.. x328 - b468 =G= -0.5;
e485.. x329 - b469 =G= -0.5;
e486.. x330 - b470 =G= -0.5;
e487.. x331 - b471 =G= -0.5;
e488.. x332 - b472 =G= -0.5;
e489.. x333 - b473 =G= -0.5;
e490.. x334 - b474 =G= -0.5;
e491.. x335 - b475 =G= -0.5;
e492.. x336 - b476 =G= -0.5;
e493.. x337 - b477 =G= -0.5;
e494.. x338 - b478 =G= -0.5;
e495.. x339 - b479 =G= -0.5;
e496.. x340 - b480 =G= -0.5;
e497.. x341 - b481 =G= -0.5;
e498.. x342 - b482 =G= -0.5;
e499.. x343 - b483 =G= -0.5;
e500.. x344 - b484 =G= -0.5;
e501.. x345 - b485 =G= -0.5;
e502.. x346 - b486 =G= -0.5;
e503.. x347 - b487 =G= -0.5;
e504.. x348 - b488 =G= -0.5;
e505.. x349 - b489 =G= -0.5;
e506.. x350 - b490 =G= -0.5;
e507.. x351 - b491 =G= -0.5;
e508.. x352 - b492 =G= -0.5;
e509.. x353 - b493 =G= -0.5;
e510.. x354 - b494 =G= -0.5;
e511.. x355 - b495 =G= -0.5;
e512.. x356 - b496 =G= -0.5;
e513.. x357 - b497 =G= -0.5;
e514.. x358 - b498 =G= -0.5;
e515.. x359 - b499 =G= -0.5;
e516.. x360 - b500 =G= -0.5;
e517.. -(sqr((-0.75) + x101)*x1 + sqr((-0.75) + x102)*x2 + sqr((-0.75) + x103)*
x3 + sqr((-0.75) + x104)*x4 + sqr((-0.75) + x105)*x5 + sqr((-0.75) +
x106)*x6 + sqr((-0.75) + x107)*x7 + sqr((-0.75) + x108)*x8 + sqr((-0.75)
+ x109)*x9 + sqr((-0.75) + x110)*x10 + sqr((-0.75) + x111)*x11 + sqr((-
0.75) + x112)*x12 + sqr((-0.75) + x113)*x13 + sqr((-0.75) + x114)*x14 +
sqr((-0.75) + x115)*x15 + sqr((-0.75) + x116)*x16 + sqr((-0.75) + x117)*
x17 + sqr((-0.75) + x118)*x18 + sqr((-0.75) + x119)*x19 + sqr((-0.75) +
x120)*x20 + sqr((-0.75) + x121)*x1 + sqr((-0.75) + x122)*x2 + sqr((-0.75
) + x123)*x3 + sqr((-0.75) + x124)*x4 + sqr((-0.75) + x125)*x5 + sqr((-
0.75) + x126)*x6 + sqr((-0.75) + x127)*x7 + sqr((-0.75) + x128)*x8 +
sqr((-0.75) + x129)*x9 + sqr((-0.75) + x130)*x10 + sqr((-0.75) + x131)*
x11 + sqr((-0.75) + x132)*x12 + sqr((-0.75) + x133)*x13 + sqr((-0.75) +
x134)*x14 + sqr((-0.75) + x135)*x15 + sqr((-0.75) + x136)*x16 + sqr((-
0.75) + x137)*x17 + sqr((-0.75) + x138)*x18 + sqr((-0.75) + x139)*x19 +
sqr((-0.75) + x140)*x20 + sqr((-0.75) + x141)*x1 + sqr((-0.75) + x142)*
x2 + sqr((-0.75) + x143)*x3 + sqr((-0.75) + x144)*x4 + sqr((-0.75) +
x145)*x5 + sqr((-0.75) + x146)*x6 + sqr((-0.75) + x147)*x7 + sqr((-0.75)
+ x148)*x8 + sqr((-0.75) + x149)*x9 + sqr((-0.75) + x150)*x10 + sqr((-
0.75) + x151)*x11 + sqr((-0.75) + x152)*x12 + sqr((-0.75) + x153)*x13 +
sqr((-0.75) + x154)*x14 + sqr((-0.75) + x155)*x15 + sqr((-0.75) + x156)*
x16 + sqr((-0.75) + x157)*x17 + sqr((-0.75) + x158)*x18 + sqr((-0.75) +
x159)*x19 + sqr((-0.75) + x160)*x20) + objvar =E= 0;
e518.. x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 + x12 + x13
+ x14 + x15 + x16 + x17 + x18 + x19 + x20 =E= 180;
* set non-default bounds
x1.lo = 7.2; x1.up = 10.8;
x2.lo = 7.2; x2.up = 10.8;
x3.lo = 7.2; x3.up = 10.8;
x4.lo = 7.2; x4.up = 10.8;
x5.lo = 7.2; x5.up = 10.8;
x6.lo = 7.2; x6.up = 10.8;
x7.lo = 7.2; x7.up = 10.8;
x8.lo = 7.2; x8.up = 10.8;
x9.lo = 7.2; x9.up = 10.8;
x10.lo = 7.2; x10.up = 10.8;
x11.lo = 7.2; x11.up = 10.8;
x12.lo = 7.2; x12.up = 10.8;
x13.lo = 7.2; x13.up = 10.8;
x14.lo = 7.2; x14.up = 10.8;
x15.lo = 7.2; x15.up = 10.8;
x16.lo = 7.2; x16.up = 10.8;
x17.lo = 7.2; x17.up = 10.8;
x18.lo = 7.2; x18.up = 10.8;
x19.lo = 7.2; x19.up = 10.8;
x20.lo = 7.2; x20.up = 10.8;
x101.lo = 0.05; x101.up = 1;
x102.lo = 0.05; x102.up = 1;
x103.lo = 0.05; x103.up = 1;
x104.lo = 0.05; x104.up = 1;
x105.lo = 0.05; x105.up = 1;
x106.lo = 0.05; x106.up = 1;
x107.lo = 0.05; x107.up = 1;
x108.lo = 0.05; x108.up = 1;
x109.lo = 0.05; x109.up = 1;
x110.lo = 0.05; x110.up = 1;
x111.lo = 0.05; x111.up = 1;
x112.lo = 0.05; x112.up = 1;
x113.lo = 0.05; x113.up = 1;
x114.lo = 0.05; x114.up = 1;
x115.lo = 0.05; x115.up = 1;
x116.lo = 0.05; x116.up = 1;
x117.lo = 0.05; x117.up = 1;
x118.lo = 0.05; x118.up = 1;
x119.lo = 0.05; x119.up = 1;
x120.fx = 0.75;
x121.lo = 0.05; x121.up = 1;
x122.lo = 0.05; x122.up = 1;
x123.lo = 0.05; x123.up = 1;
x124.lo = 0.05; x124.up = 1;
x125.lo = 0.05; x125.up = 1;
x126.lo = 0.05; x126.up = 1;
x127.lo = 0.05; x127.up = 1;
x128.lo = 0.05; x128.up = 1;
x129.lo = 0.05; x129.up = 1;
x130.lo = 0.05; x130.up = 1;
x131.lo = 0.05; x131.up = 1;
x132.lo = 0.05; x132.up = 1;
x133.lo = 0.05; x133.up = 1;
x134.lo = 0.05; x134.up = 1;
x135.lo = 0.05; x135.up = 1;
x136.lo = 0.05; x136.up = 1;
x137.lo = 0.05; x137.up = 1;
x138.lo = 0.05; x138.up = 1;
x139.lo = 0.05; x139.up = 1;
x140.fx = 0.75;
x141.lo = 0.05; x141.up = 1;
x142.lo = 0.05; x142.up = 1;
x143.lo = 0.05; x143.up = 1;
x144.lo = 0.05; x144.up = 1;
x145.lo = 0.05; x145.up = 1;
x146.lo = 0.05; x146.up = 1;
x147.lo = 0.05; x147.up = 1;
x148.lo = 0.05; x148.up = 1;
x149.lo = 0.05; x149.up = 1;
x150.lo = 0.05; x150.up = 1;
x151.lo = 0.05; x151.up = 1;
x152.lo = 0.05; x152.up = 1;
x153.lo = 0.05; x153.up = 1;
x154.lo = 0.05; x154.up = 1;
x155.lo = 0.05; x155.up = 1;
x156.lo = 0.05; x156.up = 1;
x157.lo = 0.05; x157.up = 1;
x158.lo = 0.05; x158.up = 1;
x159.lo = 0.05; x159.up = 1;
x160.fx = 0.75;
x161.lo = 0.25; x161.up = 1.25;
x162.lo = 0.25; x162.up = 1.25;
x163.lo = 0.25; x163.up = 1.25;
x164.lo = 0.25; x164.up = 1.25;
x165.lo = 0.25; x165.up = 1.25;
x166.lo = 0.25; x166.up = 1.25;
x167.lo = 0.25; x167.up = 1.25;
x168.lo = 0.25; x168.up = 1.25;
x169.lo = 0.25; x169.up = 1.25;
x170.lo = 0.25; x170.up = 1.25;
x171.lo = 0.25; x171.up = 1.25;
x172.lo = 0.25; x172.up = 1.25;
x173.lo = 0.25; x173.up = 1.25;
x174.lo = 0.25; x174.up = 1.25;
x175.lo = 0.25; x175.up = 1.25;
x176.lo = 0.25; x176.up = 1.25;
x177.lo = 0.25; x177.up = 1.25;
x178.lo = 0.25; x178.up = 1.25;
x179.lo = 0.25; x179.up = 1.25;
x180.lo = 0.25; x180.up = 1.25;
x181.lo = 0.25; x181.up = 1.25;
x182.lo = 0.25; x182.up = 1.25;
x183.lo = 0.25; x183.up = 1.25;
x184.lo = 0.25; x184.up = 1.25;
x185.lo = 0.25; x185.up = 1.25;
x186.lo = 0.25; x186.up = 1.25;
x187.lo = 0.25; x187.up = 1.25;
x188.lo = 0.25; x188.up = 1.25;
x189.lo = 0.25; x189.up = 1.25;
x190.lo = 0.25; x190.up = 1.25;
x191.lo = 0.25; x191.up = 1.25;
x192.lo = 0.25; x192.up = 1.25;
x193.lo = 0.25; x193.up = 1.25;
x194.lo = 0.25; x194.up = 1.25;
x195.lo = 0.25; x195.up = 1.25;
x196.lo = 0.25; x196.up = 1.25;
x197.lo = 0.25; x197.up = 1.25;
x198.lo = 0.25; x198.up = 1.25;
x199.lo = 0.25; x199.up = 1.25;
x200.lo = 0.25; x200.up = 1.25;
x201.lo = 0.25; x201.up = 1.25;
x202.lo = 0.25; x202.up = 1.25;
x203.lo = 0.25; x203.up = 1.25;
x204.lo = 0.25; x204.up = 1.25;
x205.lo = 0.25; x205.up = 1.25;
x206.lo = 0.25; x206.up = 1.25;
x207.lo = 0.25; x207.up = 1.25;
x208.lo = 0.25; x208.up = 1.25;
x209.lo = 0.25; x209.up = 1.25;
x210.lo = 0.25; x210.up = 1.25;
x211.lo = 0.25; x211.up = 1.25;
x212.lo = 0.25; x212.up = 1.25;
x213.lo = 0.25; x213.up = 1.25;
x214.lo = 0.25; x214.up = 1.25;
x215.lo = 0.25; x215.up = 1.25;
x216.lo = 0.25; x216.up = 1.25;
x217.lo = 0.25; x217.up = 1.25;
x218.lo = 0.25; x218.up = 1.25;
x219.lo = 0.25; x219.up = 1.25;
x220.lo = 0.25; x220.up = 1.25;
x221.lo = 0.25; x221.up = 1.25;
x222.lo = 0.25; x222.up = 1.25;
x223.lo = 0.25; x223.up = 1.25;
x224.lo = 0.25; x224.up = 1.25;
x225.lo = 0.25; x225.up = 1.25;
x226.lo = 0.25; x226.up = 1.25;
x227.lo = 0.25; x227.up = 1.25;
x228.lo = 0.25; x228.up = 1.25;
x229.lo = 0.25; x229.up = 1.25;
x230.lo = 0.25; x230.up = 1.25;
x231.lo = 0.25; x231.up = 1.25;
x232.lo = 0.25; x232.up = 1.25;
x233.lo = 0.25; x233.up = 1.25;
x234.lo = 0.25; x234.up = 1.25;
x235.lo = 0.25; x235.up = 1.25;
x236.lo = 0.25; x236.up = 1.25;
x237.lo = 0.25; x237.up = 1.25;
x238.lo = 0.25; x238.up = 1.25;
x239.lo = 0.25; x239.up = 1.25;
x240.lo = 0.25; x240.up = 1.25;
x301.fx = 0.1;
x321.fx = 0.1;
x341.fx = 0.1;
x421.fx = 0;
* set non-default levels
x1.l = 9;
x2.l = 9;
x3.l = 9;
x4.l = 9;
x5.l = 9;
x6.l = 9;
x7.l = 9;
x8.l = 9;
x9.l = 9;
x10.l = 9;
x11.l = 9;
x12.l = 9;
x13.l = 9;
x14.l = 9;
x15.l = 9;
x16.l = 9;
x17.l = 9;
x18.l = 9;
x19.l = 9;
x20.l = 9;
x161.l = 1;
x162.l = 1;
x163.l = 1;
x164.l = 1;
x165.l = 1;
x166.l = 1;
x167.l = 1;
x168.l = 1;
x169.l = 1;
x170.l = 1;
x171.l = 1;
x172.l = 1;
x173.l = 1;
x174.l = 1;
x175.l = 1;
x176.l = 1;
x177.l = 1;
x178.l = 1;
x179.l = 1;
x180.l = 1;
x181.l = 1;
x182.l = 1;
x183.l = 1;
x184.l = 1;
x185.l = 1;
x186.l = 1;
x187.l = 1;
x188.l = 1;
x189.l = 1;
x190.l = 1;
x191.l = 1;
x192.l = 1;
x193.l = 1;
x194.l = 1;
x195.l = 1;
x196.l = 1;
x197.l = 1;
x198.l = 1;
x199.l = 1;
x200.l = 1;
x201.l = 1;
x202.l = 1;
x203.l = 1;
x204.l = 1;
x205.l = 1;
x206.l = 1;
x207.l = 1;
x208.l = 1;
x209.l = 1;
x210.l = 1;
x211.l = 1;
x212.l = 1;
x213.l = 1;
x214.l = 1;
x215.l = 1;
x216.l = 1;
x217.l = 1;
x218.l = 1;
x219.l = 1;
x220.l = 1;
x221.l = 1;
x222.l = 1;
x223.l = 1;
x224.l = 1;
x225.l = 1;
x226.l = 1;
x227.l = 1;
x228.l = 1;
x229.l = 1;
x230.l = 1;
x231.l = 1;
x232.l = 1;
x233.l = 1;
x234.l = 1;
x235.l = 1;
x236.l = 1;
x237.l = 1;
x238.l = 1;
x239.l = 1;
x240.l = 1;
x422.l = 1;
x423.l = 1;
x424.l = 1;
x425.l = 1;
x426.l = 1;
x427.l = 1;
x428.l = 1;
x429.l = 1;
x430.l = 1;
x431.l = 1;
x432.l = 1;
x433.l = 1;
x434.l = 1;
x435.l = 1;
x436.l = 1;
x437.l = 1;
x438.l = 1;
x439.l = 1;
x440.l = 1;
x441.l = 1;
x442.l = 1;
x443.l = 1;
x444.l = 1;
x445.l = 1;
x446.l = 1;
x447.l = 1;
x448.l = 1;
x449.l = 1;
x450.l = 1;
x451.l = 1;
x452.l = 1;
x453.l = 1;
x454.l = 1;
x455.l = 1;
x456.l = 1;
x457.l = 1;
x458.l = 1;
x459.l = 1;
x460.l = 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: 2025-08-07 Git hash: e62cedfc