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Instance flay05h
Determine the optimal length and width of a number of rectangular patches of land with fixed area, such that the perimeter of the set of patches is minimized.
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 54.39597400 (ALPHAECP) 64.49078008 (ANTIGONE) 64.49805509 (BARON) 64.49806199 (BONMIN) 64.49802844 (COUENNE) 64.49805611 (LINDO) 64.49805571 (SCIP) 64.49804820 (SHOT) |
| Referencesⓘ | Sawaya, Nicolas W, Reformulations, relaxations and cutting planes for generalized disjunctive programming, PhD thesis, Carnegie Mellon University, 2006. |
| Sourceⓘ | FLay05H.gms from CMU-IBM MINLP solver project page |
| Applicationⓘ | Layout |
| Added to libraryⓘ | 28 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 382 |
| #Binary Variablesⓘ | 40 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 5 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 2 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 465 |
| #Linear Constraintsⓘ | 460 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 5 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 1240 |
| #Nonlinear Nonzeros in Jacobianⓘ | 5 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 5 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 5 |
| #Blocks in Hessian of Lagrangianⓘ | 5 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 1 |
| Average blocksize in Hessian of Lagrangianⓘ | 1.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.0000e+00 |
| Maximal coefficientⓘ | 7.5000e+01 |
| Infeasibility of initial pointⓘ | 74 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 466 91 10 365 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 383 343 40 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1243 1238 5 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,b343,b344,b345,b346,b347,b348,b349,b350
,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362,b363
,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375,b376
,b377,b378,b379,b380,b381,b382,objvar;
Positive Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,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;
Binary Variables b343,b344,b345,b346,b347,b348,b349,b350,b351,b352,b353,b354
,b355,b356,b357,b358,b359,b360,b361,b362,b363,b364,b365,b366,b367
,b368,b369,b370,b371,b372,b373,b374,b375,b376,b377,b378,b379,b380
,b381,b382;
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;
e1.. - 2*x21 - 2*x22 + objvar =E= 0;
e2.. - x1 - x11 + x21 =G= 0;
e3.. - x2 - x12 + x21 =G= 0;
e4.. - x3 - x13 + x21 =G= 0;
e5.. - x4 - x14 + x21 =G= 0;
e6.. - x5 - x15 + x21 =G= 0;
e7.. - x6 - x16 + x22 =G= 0;
e8.. - x7 - x17 + x22 =G= 0;
e9.. - x8 - x18 + x22 =G= 0;
e10.. - x9 - x19 + x22 =G= 0;
e11.. - x10 - x20 + x22 =G= 0;
e12.. 40/x16 - x11 =L= 0;
e13.. 50/x17 - x12 =L= 0;
e14.. 60/x18 - x13 =L= 0;
e15.. 35/x19 - x14 =L= 0;
e16.. 75/x20 - x15 =L= 0;
e17.. x1 - x23 - x27 - x31 - x35 =E= 0;
e18.. x1 - x24 - x28 - x32 - x36 =E= 0;
e19.. x1 - x25 - x29 - x33 - x37 =E= 0;
e20.. x1 - x26 - x30 - x34 - x38 =E= 0;
e21.. x2 - x39 - x43 - x47 - x51 =E= 0;
e22.. x2 - x40 - x44 - x48 - x52 =E= 0;
e23.. x2 - x41 - x45 - x49 - x53 =E= 0;
e24.. x2 - x42 - x46 - x50 - x54 =E= 0;
e25.. x3 - x55 - x59 - x63 - x67 =E= 0;
e26.. x3 - x56 - x60 - x64 - x68 =E= 0;
e27.. x3 - x57 - x61 - x65 - x69 =E= 0;
e28.. x3 - x58 - x62 - x66 - x70 =E= 0;
e29.. x4 - x71 - x75 - x79 - x83 =E= 0;
e30.. x4 - x72 - x76 - x80 - x84 =E= 0;
e31.. x4 - x73 - x77 - x81 - x85 =E= 0;
e32.. x4 - x74 - x78 - x82 - x86 =E= 0;
e33.. x5 - x87 - x91 - x95 - x99 =E= 0;
e34.. x5 - x88 - x92 - x96 - x100 =E= 0;
e35.. x5 - x89 - x93 - x97 - x101 =E= 0;
e36.. x5 - x90 - x94 - x98 - x102 =E= 0;
e37.. x6 - x103 - x107 - x111 - x115 =E= 0;
e38.. x6 - x104 - x108 - x112 - x116 =E= 0;
e39.. x6 - x105 - x109 - x113 - x117 =E= 0;
e40.. x6 - x106 - x110 - x114 - x118 =E= 0;
e41.. x7 - x119 - x123 - x127 - x131 =E= 0;
e42.. x7 - x120 - x124 - x128 - x132 =E= 0;
e43.. x7 - x121 - x125 - x129 - x133 =E= 0;
e44.. x7 - x122 - x126 - x130 - x134 =E= 0;
e45.. x8 - x135 - x139 - x143 - x147 =E= 0;
e46.. x8 - x136 - x140 - x144 - x148 =E= 0;
e47.. x8 - x137 - x141 - x145 - x149 =E= 0;
e48.. x8 - x138 - x142 - x146 - x150 =E= 0;
e49.. x9 - x151 - x155 - x159 - x163 =E= 0;
e50.. x9 - x152 - x156 - x160 - x164 =E= 0;
e51.. x9 - x153 - x157 - x161 - x165 =E= 0;
e52.. x9 - x154 - x158 - x162 - x166 =E= 0;
e53.. x10 - x167 - x171 - x175 - x179 =E= 0;
e54.. x10 - x168 - x172 - x176 - x180 =E= 0;
e55.. x10 - x169 - x173 - x177 - x181 =E= 0;
e56.. x10 - x170 - x174 - x178 - x182 =E= 0;
e57.. x11 - x183 - x187 - x191 - x195 =E= 0;
e58.. x11 - x184 - x188 - x192 - x196 =E= 0;
e59.. x11 - x185 - x189 - x193 - x197 =E= 0;
e60.. x11 - x186 - x190 - x194 - x198 =E= 0;
e61.. x12 - x199 - x203 - x207 - x211 =E= 0;
e62.. x12 - x200 - x204 - x208 - x212 =E= 0;
e63.. x12 - x201 - x205 - x209 - x213 =E= 0;
e64.. x12 - x202 - x206 - x210 - x214 =E= 0;
e65.. x13 - x215 - x219 - x223 - x227 =E= 0;
e66.. x13 - x216 - x220 - x224 - x228 =E= 0;
e67.. x13 - x217 - x221 - x225 - x229 =E= 0;
e68.. x13 - x218 - x222 - x226 - x230 =E= 0;
e69.. x14 - x231 - x235 - x239 - x243 =E= 0;
e70.. x14 - x232 - x236 - x240 - x244 =E= 0;
e71.. x14 - x233 - x237 - x241 - x245 =E= 0;
e72.. x14 - x234 - x238 - x242 - x246 =E= 0;
e73.. x15 - x247 - x251 - x255 - x259 =E= 0;
e74.. x15 - x248 - x252 - x256 - x260 =E= 0;
e75.. x15 - x249 - x253 - x257 - x261 =E= 0;
e76.. x15 - x250 - x254 - x258 - x262 =E= 0;
e77.. x16 - x263 - x267 - x271 - x275 =E= 0;
e78.. x16 - x264 - x268 - x272 - x276 =E= 0;
e79.. x16 - x265 - x269 - x273 - x277 =E= 0;
e80.. x16 - x266 - x270 - x274 - x278 =E= 0;
e81.. x17 - x279 - x283 - x287 - x291 =E= 0;
e82.. x17 - x280 - x284 - x288 - x292 =E= 0;
e83.. x17 - x281 - x285 - x289 - x293 =E= 0;
e84.. x17 - x282 - x286 - x290 - x294 =E= 0;
e85.. x18 - x295 - x299 - x303 - x307 =E= 0;
e86.. x18 - x296 - x300 - x304 - x308 =E= 0;
e87.. x18 - x297 - x301 - x305 - x309 =E= 0;
e88.. x18 - x298 - x302 - x306 - x310 =E= 0;
e89.. x19 - x311 - x315 - x319 - x323 =E= 0;
e90.. x19 - x312 - x316 - x320 - x324 =E= 0;
e91.. x19 - x313 - x317 - x321 - x325 =E= 0;
e92.. x19 - x314 - x318 - x322 - x326 =E= 0;
e93.. x20 - x327 - x331 - x335 - x339 =E= 0;
e94.. x20 - x328 - x332 - x336 - x340 =E= 0;
e95.. x20 - x329 - x333 - x337 - x341 =E= 0;
e96.. x20 - x330 - x334 - x338 - x342 =E= 0;
e97.. x23 - 29*b343 =L= 0;
e98.. x24 - 29*b344 =L= 0;
e99.. x25 - 29*b345 =L= 0;
e100.. x26 - 29*b346 =L= 0;
e101.. x27 - 29*b353 =L= 0;
e102.. x28 - 29*b354 =L= 0;
e103.. x29 - 29*b355 =L= 0;
e104.. x30 - 29*b356 =L= 0;
e105.. x31 - 29*b363 =L= 0;
e106.. x32 - 29*b364 =L= 0;
e107.. x33 - 29*b365 =L= 0;
e108.. x34 - 29*b366 =L= 0;
e109.. x35 - 29*b373 =L= 0;
e110.. x36 - 29*b374 =L= 0;
e111.. x37 - 29*b375 =L= 0;
e112.. x38 - 29*b376 =L= 0;
e113.. x39 - 29*b343 =L= 0;
e114.. x40 - 29*b347 =L= 0;
e115.. x41 - 29*b348 =L= 0;
e116.. x42 - 29*b349 =L= 0;
e117.. x43 - 29*b353 =L= 0;
e118.. x44 - 29*b357 =L= 0;
e119.. x45 - 29*b358 =L= 0;
e120.. x46 - 29*b359 =L= 0;
e121.. x47 - 29*b363 =L= 0;
e122.. x48 - 29*b367 =L= 0;
e123.. x49 - 29*b368 =L= 0;
e124.. x50 - 29*b369 =L= 0;
e125.. x51 - 29*b373 =L= 0;
e126.. x52 - 29*b377 =L= 0;
e127.. x53 - 29*b378 =L= 0;
e128.. x54 - 29*b379 =L= 0;
e129.. x55 - 29*b344 =L= 0;
e130.. x56 - 29*b347 =L= 0;
e131.. x57 - 29*b350 =L= 0;
e132.. x58 - 29*b351 =L= 0;
e133.. x59 - 29*b354 =L= 0;
e134.. x60 - 29*b357 =L= 0;
e135.. x61 - 29*b360 =L= 0;
e136.. x62 - 29*b361 =L= 0;
e137.. x63 - 29*b364 =L= 0;
e138.. x64 - 29*b367 =L= 0;
e139.. x65 - 29*b370 =L= 0;
e140.. x66 - 29*b371 =L= 0;
e141.. x67 - 29*b374 =L= 0;
e142.. x68 - 29*b377 =L= 0;
e143.. x69 - 29*b380 =L= 0;
e144.. x70 - 29*b381 =L= 0;
e145.. x71 - 29*b345 =L= 0;
e146.. x72 - 29*b348 =L= 0;
e147.. x73 - 29*b350 =L= 0;
e148.. x74 - 29*b352 =L= 0;
e149.. x75 - 29*b355 =L= 0;
e150.. x76 - 29*b358 =L= 0;
e151.. x77 - 29*b360 =L= 0;
e152.. x78 - 29*b362 =L= 0;
e153.. x79 - 29*b365 =L= 0;
e154.. x80 - 29*b368 =L= 0;
e155.. x81 - 29*b370 =L= 0;
e156.. x82 - 29*b372 =L= 0;
e157.. x83 - 29*b375 =L= 0;
e158.. x84 - 29*b378 =L= 0;
e159.. x85 - 29*b380 =L= 0;
e160.. x86 - 29*b382 =L= 0;
e161.. x87 - 29*b346 =L= 0;
e162.. x88 - 29*b349 =L= 0;
e163.. x89 - 29*b351 =L= 0;
e164.. x90 - 29*b352 =L= 0;
e165.. x91 - 29*b356 =L= 0;
e166.. x92 - 29*b359 =L= 0;
e167.. x93 - 29*b361 =L= 0;
e168.. x94 - 29*b362 =L= 0;
e169.. x95 - 29*b366 =L= 0;
e170.. x96 - 29*b369 =L= 0;
e171.. x97 - 29*b371 =L= 0;
e172.. x98 - 29*b372 =L= 0;
e173.. x99 - 29*b376 =L= 0;
e174.. x100 - 29*b379 =L= 0;
e175.. x101 - 29*b381 =L= 0;
e176.. x102 - 29*b382 =L= 0;
e177.. x103 - 29*b343 =L= 0;
e178.. x104 - 29*b344 =L= 0;
e179.. x105 - 29*b345 =L= 0;
e180.. x106 - 29*b346 =L= 0;
e181.. x107 - 29*b353 =L= 0;
e182.. x108 - 29*b354 =L= 0;
e183.. x109 - 29*b355 =L= 0;
e184.. x110 - 29*b356 =L= 0;
e185.. x111 - 29*b363 =L= 0;
e186.. x112 - 29*b364 =L= 0;
e187.. x113 - 29*b365 =L= 0;
e188.. x114 - 29*b366 =L= 0;
e189.. x115 - 29*b373 =L= 0;
e190.. x116 - 29*b374 =L= 0;
e191.. x117 - 29*b375 =L= 0;
e192.. x118 - 29*b376 =L= 0;
e193.. x119 - 29*b343 =L= 0;
e194.. x120 - 29*b347 =L= 0;
e195.. x121 - 29*b348 =L= 0;
e196.. x122 - 29*b349 =L= 0;
e197.. x123 - 29*b353 =L= 0;
e198.. x124 - 29*b357 =L= 0;
e199.. x125 - 29*b358 =L= 0;
e200.. x126 - 29*b359 =L= 0;
e201.. x127 - 29*b363 =L= 0;
e202.. x128 - 29*b367 =L= 0;
e203.. x129 - 29*b368 =L= 0;
e204.. x130 - 29*b369 =L= 0;
e205.. x131 - 29*b373 =L= 0;
e206.. x132 - 29*b377 =L= 0;
e207.. x133 - 29*b378 =L= 0;
e208.. x134 - 29*b379 =L= 0;
e209.. x135 - 29*b344 =L= 0;
e210.. x136 - 29*b347 =L= 0;
e211.. x137 - 29*b350 =L= 0;
e212.. x138 - 29*b351 =L= 0;
e213.. x139 - 29*b354 =L= 0;
e214.. x140 - 29*b357 =L= 0;
e215.. x141 - 29*b360 =L= 0;
e216.. x142 - 29*b361 =L= 0;
e217.. x143 - 29*b364 =L= 0;
e218.. x144 - 29*b367 =L= 0;
e219.. x145 - 29*b370 =L= 0;
e220.. x146 - 29*b371 =L= 0;
e221.. x147 - 29*b374 =L= 0;
e222.. x148 - 29*b377 =L= 0;
e223.. x149 - 29*b380 =L= 0;
e224.. x150 - 29*b381 =L= 0;
e225.. x151 - 29*b345 =L= 0;
e226.. x152 - 29*b348 =L= 0;
e227.. x153 - 29*b350 =L= 0;
e228.. x154 - 29*b352 =L= 0;
e229.. x155 - 29*b355 =L= 0;
e230.. x156 - 29*b358 =L= 0;
e231.. x157 - 29*b360 =L= 0;
e232.. x158 - 29*b362 =L= 0;
e233.. x159 - 29*b365 =L= 0;
e234.. x160 - 29*b368 =L= 0;
e235.. x161 - 29*b370 =L= 0;
e236.. x162 - 29*b372 =L= 0;
e237.. x163 - 29*b375 =L= 0;
e238.. x164 - 29*b378 =L= 0;
e239.. x165 - 29*b380 =L= 0;
e240.. x166 - 29*b382 =L= 0;
e241.. x167 - 29*b346 =L= 0;
e242.. x168 - 29*b349 =L= 0;
e243.. x169 - 29*b351 =L= 0;
e244.. x170 - 29*b352 =L= 0;
e245.. x171 - 29*b356 =L= 0;
e246.. x172 - 29*b359 =L= 0;
e247.. x173 - 29*b361 =L= 0;
e248.. x174 - 29*b362 =L= 0;
e249.. x175 - 29*b366 =L= 0;
e250.. x176 - 29*b369 =L= 0;
e251.. x177 - 29*b371 =L= 0;
e252.. x178 - 29*b372 =L= 0;
e253.. x179 - 29*b376 =L= 0;
e254.. x180 - 29*b379 =L= 0;
e255.. x181 - 29*b381 =L= 0;
e256.. x182 - 29*b382 =L= 0;
e257.. x183 - 40*b343 =L= 0;
e258.. x184 - 40*b344 =L= 0;
e259.. x185 - 40*b345 =L= 0;
e260.. x186 - 40*b346 =L= 0;
e261.. x187 - 40*b353 =L= 0;
e262.. x188 - 40*b354 =L= 0;
e263.. x189 - 40*b355 =L= 0;
e264.. x190 - 40*b356 =L= 0;
e265.. x191 - 40*b363 =L= 0;
e266.. x192 - 40*b364 =L= 0;
e267.. x193 - 40*b365 =L= 0;
e268.. x194 - 40*b366 =L= 0;
e269.. x195 - 40*b373 =L= 0;
e270.. x196 - 40*b374 =L= 0;
e271.. x197 - 40*b375 =L= 0;
e272.. x198 - 40*b376 =L= 0;
e273.. x199 - 40*b343 =L= 0;
e274.. x200 - 50*b347 =L= 0;
e275.. x201 - 50*b348 =L= 0;
e276.. x202 - 50*b349 =L= 0;
e277.. x203 - 40*b353 =L= 0;
e278.. x204 - 50*b357 =L= 0;
e279.. x205 - 50*b358 =L= 0;
e280.. x206 - 50*b359 =L= 0;
e281.. x207 - 40*b363 =L= 0;
e282.. x208 - 50*b367 =L= 0;
e283.. x209 - 50*b368 =L= 0;
e284.. x210 - 50*b369 =L= 0;
e285.. x211 - 40*b373 =L= 0;
e286.. x212 - 50*b377 =L= 0;
e287.. x213 - 50*b378 =L= 0;
e288.. x214 - 50*b379 =L= 0;
e289.. x215 - 40*b344 =L= 0;
e290.. x216 - 50*b347 =L= 0;
e291.. x217 - 60*b350 =L= 0;
e292.. x218 - 60*b351 =L= 0;
e293.. x219 - 40*b354 =L= 0;
e294.. x220 - 50*b357 =L= 0;
e295.. x221 - 60*b360 =L= 0;
e296.. x222 - 60*b361 =L= 0;
e297.. x223 - 40*b364 =L= 0;
e298.. x224 - 50*b367 =L= 0;
e299.. x225 - 60*b370 =L= 0;
e300.. x226 - 60*b371 =L= 0;
e301.. x227 - 40*b374 =L= 0;
e302.. x228 - 50*b377 =L= 0;
e303.. x229 - 60*b380 =L= 0;
e304.. x230 - 60*b381 =L= 0;
e305.. x231 - 40*b345 =L= 0;
e306.. x232 - 50*b348 =L= 0;
e307.. x233 - 60*b350 =L= 0;
e308.. x234 - 35*b352 =L= 0;
e309.. x235 - 40*b355 =L= 0;
e310.. x236 - 50*b358 =L= 0;
e311.. x237 - 60*b360 =L= 0;
e312.. x238 - 35*b362 =L= 0;
e313.. x239 - 40*b365 =L= 0;
e314.. x240 - 50*b368 =L= 0;
e315.. x241 - 60*b370 =L= 0;
e316.. x242 - 35*b372 =L= 0;
e317.. x243 - 40*b375 =L= 0;
e318.. x244 - 50*b378 =L= 0;
e319.. x245 - 60*b380 =L= 0;
e320.. x246 - 35*b382 =L= 0;
e321.. x247 - 40*b346 =L= 0;
e322.. x248 - 50*b349 =L= 0;
e323.. x249 - 60*b351 =L= 0;
e324.. x250 - 35*b352 =L= 0;
e325.. x251 - 40*b356 =L= 0;
e326.. x252 - 50*b359 =L= 0;
e327.. x253 - 60*b361 =L= 0;
e328.. x254 - 35*b362 =L= 0;
e329.. x255 - 40*b366 =L= 0;
e330.. x256 - 50*b369 =L= 0;
e331.. x257 - 60*b371 =L= 0;
e332.. x258 - 35*b372 =L= 0;
e333.. x259 - 40*b376 =L= 0;
e334.. x260 - 50*b379 =L= 0;
e335.. x261 - 60*b381 =L= 0;
e336.. x262 - 35*b382 =L= 0;
e337.. x263 - 40*b343 =L= 0;
e338.. x264 - 40*b344 =L= 0;
e339.. x265 - 40*b345 =L= 0;
e340.. x266 - 40*b346 =L= 0;
e341.. x267 - 40*b353 =L= 0;
e342.. x268 - 40*b354 =L= 0;
e343.. x269 - 40*b355 =L= 0;
e344.. x270 - 40*b356 =L= 0;
e345.. x271 - 40*b363 =L= 0;
e346.. x272 - 40*b364 =L= 0;
e347.. x273 - 40*b365 =L= 0;
e348.. x274 - 40*b366 =L= 0;
e349.. x275 - 40*b373 =L= 0;
e350.. x276 - 40*b374 =L= 0;
e351.. x277 - 40*b375 =L= 0;
e352.. x278 - 40*b376 =L= 0;
e353.. x279 - 40*b343 =L= 0;
e354.. x280 - 50*b347 =L= 0;
e355.. x281 - 50*b348 =L= 0;
e356.. x282 - 50*b349 =L= 0;
e357.. x283 - 40*b353 =L= 0;
e358.. x284 - 50*b357 =L= 0;
e359.. x285 - 50*b358 =L= 0;
e360.. x286 - 50*b359 =L= 0;
e361.. x287 - 40*b363 =L= 0;
e362.. x288 - 50*b367 =L= 0;
e363.. x289 - 50*b368 =L= 0;
e364.. x290 - 50*b369 =L= 0;
e365.. x291 - 40*b373 =L= 0;
e366.. x292 - 50*b377 =L= 0;
e367.. x293 - 50*b378 =L= 0;
e368.. x294 - 50*b379 =L= 0;
e369.. x295 - 40*b344 =L= 0;
e370.. x296 - 50*b347 =L= 0;
e371.. x297 - 60*b350 =L= 0;
e372.. x298 - 60*b351 =L= 0;
e373.. x299 - 40*b354 =L= 0;
e374.. x300 - 50*b357 =L= 0;
e375.. x301 - 60*b360 =L= 0;
e376.. x302 - 60*b361 =L= 0;
e377.. x303 - 40*b364 =L= 0;
e378.. x304 - 50*b367 =L= 0;
e379.. x305 - 60*b370 =L= 0;
e380.. x306 - 60*b371 =L= 0;
e381.. x307 - 40*b374 =L= 0;
e382.. x308 - 50*b377 =L= 0;
e383.. x309 - 60*b380 =L= 0;
e384.. x310 - 60*b381 =L= 0;
e385.. x311 - 40*b345 =L= 0;
e386.. x312 - 50*b348 =L= 0;
e387.. x313 - 60*b350 =L= 0;
e388.. x314 - 35*b352 =L= 0;
e389.. x315 - 40*b355 =L= 0;
e390.. x316 - 50*b358 =L= 0;
e391.. x317 - 60*b360 =L= 0;
e392.. x318 - 35*b362 =L= 0;
e393.. x319 - 40*b365 =L= 0;
e394.. x320 - 50*b368 =L= 0;
e395.. x321 - 60*b370 =L= 0;
e396.. x322 - 35*b372 =L= 0;
e397.. x323 - 40*b375 =L= 0;
e398.. x324 - 50*b378 =L= 0;
e399.. x325 - 60*b380 =L= 0;
e400.. x326 - 35*b382 =L= 0;
e401.. x327 - 40*b346 =L= 0;
e402.. x328 - 50*b349 =L= 0;
e403.. x329 - 60*b351 =L= 0;
e404.. x330 - 35*b352 =L= 0;
e405.. x331 - 40*b356 =L= 0;
e406.. x332 - 50*b359 =L= 0;
e407.. x333 - 60*b361 =L= 0;
e408.. x334 - 35*b362 =L= 0;
e409.. x335 - 40*b366 =L= 0;
e410.. x336 - 50*b369 =L= 0;
e411.. x337 - 60*b371 =L= 0;
e412.. x338 - 35*b372 =L= 0;
e413.. x339 - 40*b376 =L= 0;
e414.. x340 - 50*b379 =L= 0;
e415.. x341 - 60*b381 =L= 0;
e416.. x342 - 35*b382 =L= 0;
e417.. x23 - x39 + x183 =L= 0;
e418.. x24 - x55 + x184 =L= 0;
e419.. x25 - x71 + x185 =L= 0;
e420.. x26 - x87 + x186 =L= 0;
e421.. x40 - x56 + x200 =L= 0;
e422.. x41 - x72 + x201 =L= 0;
e423.. x42 - x88 + x202 =L= 0;
e424.. x57 - x73 + x217 =L= 0;
e425.. x58 - x89 + x218 =L= 0;
e426.. x74 - x90 + x234 =L= 0;
e427.. - x27 + x43 + x203 =L= 0;
e428.. - x28 + x59 + x219 =L= 0;
e429.. - x29 + x75 + x235 =L= 0;
e430.. - x30 + x91 + x251 =L= 0;
e431.. - x44 + x60 + x220 =L= 0;
e432.. - x45 + x76 + x236 =L= 0;
e433.. - x46 + x92 + x252 =L= 0;
e434.. - x61 + x77 + x237 =L= 0;
e435.. - x62 + x93 + x253 =L= 0;
e436.. - x78 + x94 + x254 =L= 0;
e437.. x111 - x127 + x271 =L= 0;
e438.. x112 - x143 + x272 =L= 0;
e439.. x113 - x159 + x273 =L= 0;
e440.. x114 - x175 + x274 =L= 0;
e441.. x128 - x144 + x288 =L= 0;
e442.. x129 - x160 + x289 =L= 0;
e443.. x130 - x176 + x290 =L= 0;
e444.. x145 - x161 + x305 =L= 0;
e445.. x146 - x177 + x306 =L= 0;
e446.. x162 - x178 + x322 =L= 0;
e447.. - x115 + x131 + x291 =L= 0;
e448.. - x116 + x147 + x307 =L= 0;
e449.. - x117 + x163 + x323 =L= 0;
e450.. - x118 + x179 + x339 =L= 0;
e451.. - x132 + x148 + x308 =L= 0;
e452.. - x133 + x164 + x324 =L= 0;
e453.. - x134 + x180 + x340 =L= 0;
e454.. - x149 + x165 + x325 =L= 0;
e455.. - x150 + x181 + x341 =L= 0;
e456.. - x166 + x182 + x342 =L= 0;
e457.. b343 + b353 + b363 + b373 =E= 1;
e458.. b344 + b354 + b364 + b374 =E= 1;
e459.. b345 + b355 + b365 + b375 =E= 1;
e460.. b346 + b356 + b366 + b376 =E= 1;
e461.. b347 + b357 + b367 + b377 =E= 1;
e462.. b348 + b358 + b368 + b378 =E= 1;
e463.. b349 + b359 + b369 + b379 =E= 1;
e464.. b350 + b360 + b370 + b380 =E= 1;
e465.. b351 + b361 + b371 + b381 =E= 1;
e466.. b352 + b362 + b372 + b382 =E= 1;
* set non-default bounds
x1.up = 29;
x2.up = 29;
x3.up = 29;
x4.up = 29;
x5.up = 29;
x6.up = 29;
x7.up = 29;
x8.up = 29;
x9.up = 29;
x10.up = 29;
x11.lo = 1; x11.up = 40;
x12.lo = 1; x12.up = 50;
x13.lo = 1; x13.up = 60;
x14.lo = 1; x14.up = 35;
x15.lo = 1; x15.up = 75;
x16.lo = 1; x16.up = 40;
x17.lo = 1; x17.up = 50;
x18.lo = 1; x18.up = 60;
x19.lo = 1; x19.up = 35;
x20.lo = 1; x20.up = 75;
x21.up = 30;
x22.up = 30;
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