MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance hydroenergy1
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 211181.11600000 (ANTIGONE) 209721.03120000 (BARON) 209899.68520000 (COUENNE) 209721.01689700 (GUROBI) 211647.53510000 (LINDO) 209728.75960000 (SCIP) 775435.49170000 (SHOT) |
| Referencesⓘ | Castro, Pedro M, Hydro Energy System Scheduling, 2014. |
| Sourceⓘ | MINLP_EX1.gms from minlp.org model 181 |
| Applicationⓘ | Hydro Energy System Scheduling |
| Added to libraryⓘ | 12 Aug 2014 |
| Problem typeⓘ | MBQCP |
| #Variablesⓘ | 288 |
| #Binary Variablesⓘ | 96 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 96 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | max |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 96 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 428 |
| #Linear Constraintsⓘ | 380 |
| #Quadratic Constraintsⓘ | 48 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1116 |
| #Nonlinear Nonzeros in Jacobianⓘ | 120 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 144 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 0 |
| #Blocks in Hessian of Lagrangianⓘ | 24 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 4 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 4 |
| Average blocksize in Hessian of Lagrangianⓘ | 4.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 3.7692e-01 |
| Maximal coefficientⓘ | 5.9285e+02 |
| Infeasibility of initial pointⓘ | 5.475 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 429 97 144 188 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 289 193 96 0 0 0 0 0
* FX 2
*
* Nonzero counts
* Total const NL DLL
* 1213 1093 120 0
*
* Solve m using MINLP maximizing objvar;
Variables b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18,b19
,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35,b36
,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52,b53
,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69,b70
,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86,b87
,b88,b89,b90,b91,b92,b93,b94,b95,b96,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,objvar;
Positive Variables 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;
Binary Variables b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17
,b18,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34
,b35,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51
,b52,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68
,b69,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85
,b86,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96;
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;
e1.. 470.2*b49 + 470.2*b50 + 470.2*b51 + 470.2*b52 + 470.2*b53 + 470.2*b54
+ 470.2*b55 + 470.2*b56 + 470.2*b57 + 470.2*b58 + 470.2*b59 + 470.2*b60
+ 470.2*b61 + 470.2*b62 + 470.2*b63 + 470.2*b64 + 470.2*b65 + 470.2*b66
+ 470.2*b67 + 470.2*b68 + 470.2*b69 + 470.2*b70 + 470.2*b71 + 470.2*b72
+ 592.85*b73 + 592.85*b74 + 592.85*b75 + 592.85*b76 + 592.85*b77
+ 592.85*b78 + 592.85*b79 + 592.85*b80 + 592.85*b81 + 592.85*b82
+ 592.85*b83 + 592.85*b84 + 592.85*b85 + 592.85*b86 + 592.85*b87
+ 592.85*b88 + 592.85*b89 + 592.85*b90 + 592.85*b91 + 592.85*b92
+ 592.85*b93 + 592.85*b94 + 592.85*b95 + 592.85*b96 - 50.4*x97
- 46.287*x98 - 44.187*x99 - 44.787*x100 - 45.477*x101 - 47.523*x102
- 58.359*x103 - 68.487*x104 - 87.441*x105 - 91.395*x106 - 93.846*x107
- 94.995*x108 - 86.187*x109 - 92.295*x110 - 93.495*x111 - 92.259*x112
- 93.795*x113 - 103.254*x114 - 103.359*x115 - 100.623*x116 - 95.418*x117
- 92.136*x118 - 82.305*x119 - 68.946*x120 - 50.4*x121 - 46.287*x122
- 44.187*x123 - 44.787*x124 - 45.477*x125 - 47.523*x126 - 58.359*x127
- 68.487*x128 - 87.441*x129 - 91.395*x130 - 93.846*x131 - 94.995*x132
- 86.187*x133 - 92.295*x134 - 93.495*x135 - 92.259*x136 - 93.795*x137
- 103.254*x138 - 103.359*x139 - 100.623*x140 - 95.418*x141 - 92.136*x142
- 82.305*x143 - 68.946*x144 + objvar =E= 0;
e2.. x145 + x193 + x241 =E= 10.4208;
e3.. x146 + x194 - x241 + x242 =E= 0.0708;
e4.. x147 + x195 - x242 + x243 =E= 0.0708;
e5.. x148 + x196 - x243 + x244 =E= 0.0708;
e6.. x149 + x197 - x244 + x245 =E= 0.0708;
e7.. x150 + x198 - x245 + x246 =E= 0.0708;
e8.. x151 + x199 - x246 + x247 =E= 0.7374;
e9.. x152 + x200 - x247 + x248 =E= 0.7374;
e10.. x153 + x201 - x248 + x249 =E= 0.7374;
e11.. x154 + x202 - x249 + x250 =E= 0.7374;
e12.. x155 + x203 - x250 + x251 =E= 0.7374;
e13.. x156 + x204 - x251 + x252 =E= 0.7374;
e14.. x157 + x205 - x252 + x253 =E= 0.7374;
e15.. x158 + x206 - x253 + x254 =E= 0.7374;
e16.. x159 + x207 - x254 + x255 =E= 0.7374;
e17.. x160 + x208 - x255 + x256 =E= 0.7374;
e18.. x161 + x209 - x256 + x257 =E= 0.7374;
e19.. x162 + x210 - x257 + x258 =E= 0.7374;
e20.. x163 + x211 - x258 + x259 =E= 0.7374;
e21.. x164 + x212 - x259 + x260 =E= 0.7374;
e22.. x165 + x213 - x260 + x261 =E= 0.7374;
e23.. x166 + x214 - x261 + x262 =E= 0.7374;
e24.. x167 + x215 - x262 + x263 =E= 0.7374;
e25.. x168 + x216 - x263 + x264 =E= 0.7374;
e26.. - x145 + x169 - x193 + x217 + x265 =E= 10.7948;
e27.. - x146 + x170 - x194 + x218 - x265 + x266 =E= 0.1548;
e28.. - x147 + x171 - x195 + x219 - x266 + x267 =E= 0.1548;
e29.. - x148 + x172 - x196 + x220 - x267 + x268 =E= 0.1548;
e30.. - x149 + x173 - x197 + x221 - x268 + x269 =E= 0.1548;
e31.. - x150 + x174 - x198 + x222 - x269 + x270 =E= 0.1548;
e32.. - x151 + x175 - x199 + x223 - x270 + x271 =E= 0.1548;
e33.. - x152 + x176 - x200 + x224 - x271 + x272 =E= 0.1548;
e34.. - x153 + x177 - x201 + x225 - x272 + x273 =E= 0.1548;
e35.. - x154 + x178 - x202 + x226 - x273 + x274 =E= 0.1548;
e36.. - x155 + x179 - x203 + x227 - x274 + x275 =E= 0.1548;
e37.. - x156 + x180 - x204 + x228 - x275 + x276 =E= 0.1548;
e38.. - x157 + x181 - x205 + x229 - x276 + x277 =E= 0.1548;
e39.. - x158 + x182 - x206 + x230 - x277 + x278 =E= 0.1548;
e40.. - x159 + x183 - x207 + x231 - x278 + x279 =E= 0.1548;
e41.. - x160 + x184 - x208 + x232 - x279 + x280 =E= 0.1548;
e42.. - x161 + x185 - x209 + x233 - x280 + x281 =E= 0.1548;
e43.. - x162 + x186 - x210 + x234 - x281 + x282 =E= 0.1548;
e44.. - x163 + x187 - x211 + x235 - x282 + x283 =E= 0.1548;
e45.. - x164 + x188 - x212 + x236 - x283 + x284 =E= 0.1548;
e46.. - x165 + x189 - x213 + x237 - x284 + x285 =E= 0.1548;
e47.. - x166 + x190 - x214 + x238 - x285 + x286 =E= 0.1548;
e48.. - x167 + x191 - x215 + x239 - x286 + x287 =E= 0.1548;
e49.. - x168 + x192 - x216 + x240 - x287 + x288 =E= 0.1548;
e50.. - 4.1202*b1 + x193 =L= 0;
e51.. - 4.1202*b2 + x194 =L= 0;
e52.. - 4.1202*b3 + x195 =L= 0;
e53.. - 4.1202*b4 + x196 =L= 0;
e54.. - 4.1202*b5 + x197 =L= 0;
e55.. - 4.1202*b6 + x198 =L= 0;
e56.. - 4.1202*b7 + x199 =L= 0;
e57.. - 4.1202*b8 + x200 =L= 0;
e58.. - 4.1202*b9 + x201 =L= 0;
e59.. - 4.1202*b10 + x202 =L= 0;
e60.. - 4.1202*b11 + x203 =L= 0;
e61.. - 4.1202*b12 + x204 =L= 0;
e62.. - 4.1202*b13 + x205 =L= 0;
e63.. - 4.1202*b14 + x206 =L= 0;
e64.. - 4.1202*b15 + x207 =L= 0;
e65.. - 4.1202*b16 + x208 =L= 0;
e66.. - 4.1202*b17 + x209 =L= 0;
e67.. - 4.1202*b18 + x210 =L= 0;
e68.. - 4.1202*b19 + x211 =L= 0;
e69.. - 4.1202*b20 + x212 =L= 0;
e70.. - 4.1202*b21 + x213 =L= 0;
e71.. - 4.1202*b22 + x214 =L= 0;
e72.. - 4.1202*b23 + x215 =L= 0;
e73.. - 4.1202*b24 + x216 =L= 0;
e74.. - 3.888*b25 + x217 =L= 0;
e75.. - 3.888*b26 + x218 =L= 0;
e76.. - 3.888*b27 + x219 =L= 0;
e77.. - 3.888*b28 + x220 =L= 0;
e78.. - 3.888*b29 + x221 =L= 0;
e79.. - 3.888*b30 + x222 =L= 0;
e80.. - 3.888*b31 + x223 =L= 0;
e81.. - 3.888*b32 + x224 =L= 0;
e82.. - 3.888*b33 + x225 =L= 0;
e83.. - 3.888*b34 + x226 =L= 0;
e84.. - 3.888*b35 + x227 =L= 0;
e85.. - 3.888*b36 + x228 =L= 0;
e86.. - 3.888*b37 + x229 =L= 0;
e87.. - 3.888*b38 + x230 =L= 0;
e88.. - 3.888*b39 + x231 =L= 0;
e89.. - 3.888*b40 + x232 =L= 0;
e90.. - 3.888*b41 + x233 =L= 0;
e91.. - 3.888*b42 + x234 =L= 0;
e92.. - 3.888*b43 + x235 =L= 0;
e93.. - 3.888*b44 + x236 =L= 0;
e94.. - 3.888*b45 + x237 =L= 0;
e95.. - 3.888*b46 + x238 =L= 0;
e96.. - 3.888*b47 + x239 =L= 0;
e97.. - 3.888*b48 + x240 =L= 0;
e98.. - 0.605268*b1 + x193 =G= 0;
e99.. - 0.605268*b2 + x194 =G= 0;
e100.. - 0.605268*b3 + x195 =G= 0;
e101.. - 0.605268*b4 + x196 =G= 0;
e102.. - 0.605268*b5 + x197 =G= 0;
e103.. - 0.605268*b6 + x198 =G= 0;
e104.. - 0.605268*b7 + x199 =G= 0;
e105.. - 0.605268*b8 + x200 =G= 0;
e106.. - 0.605268*b9 + x201 =G= 0;
e107.. - 0.605268*b10 + x202 =G= 0;
e108.. - 0.605268*b11 + x203 =G= 0;
e109.. - 0.605268*b12 + x204 =G= 0;
e110.. - 0.605268*b13 + x205 =G= 0;
e111.. - 0.605268*b14 + x206 =G= 0;
e112.. - 0.605268*b15 + x207 =G= 0;
e113.. - 0.605268*b16 + x208 =G= 0;
e114.. - 0.605268*b17 + x209 =G= 0;
e115.. - 0.605268*b18 + x210 =G= 0;
e116.. - 0.605268*b19 + x211 =G= 0;
e117.. - 0.605268*b20 + x212 =G= 0;
e118.. - 0.605268*b21 + x213 =G= 0;
e119.. - 0.605268*b22 + x214 =G= 0;
e120.. - 0.605268*b23 + x215 =G= 0;
e121.. - 0.605268*b24 + x216 =G= 0;
e122.. - 0.37692*b25 + x217 =G= 0;
e123.. - 0.37692*b26 + x218 =G= 0;
e124.. - 0.37692*b27 + x219 =G= 0;
e125.. - 0.37692*b28 + x220 =G= 0;
e126.. - 0.37692*b29 + x221 =G= 0;
e127.. - 0.37692*b30 + x222 =G= 0;
e128.. - 0.37692*b31 + x223 =G= 0;
e129.. - 0.37692*b32 + x224 =G= 0;
e130.. - 0.37692*b33 + x225 =G= 0;
e131.. - 0.37692*b34 + x226 =G= 0;
e132.. - 0.37692*b35 + x227 =G= 0;
e133.. - 0.37692*b36 + x228 =G= 0;
e134.. - 0.37692*b37 + x229 =G= 0;
e135.. - 0.37692*b38 + x230 =G= 0;
e136.. - 0.37692*b39 + x231 =G= 0;
e137.. - 0.37692*b40 + x232 =G= 0;
e138.. - 0.37692*b41 + x233 =G= 0;
e139.. - 0.37692*b42 + x234 =G= 0;
e140.. - 0.37692*b43 + x235 =G= 0;
e141.. - 0.37692*b44 + x236 =G= 0;
e142.. - 0.37692*b45 + x237 =G= 0;
e143.. - 0.37692*b46 + x238 =G= 0;
e144.. - 0.37692*b47 + x239 =G= 0;
e145.. - 0.37692*b48 + x240 =G= 0;
e146.. - 28*b1 + x97 =G= 0;
e147.. - 28*b2 + x98 =G= 0;
e148.. - 28*b3 + x99 =G= 0;
e149.. - 28*b4 + x100 =G= 0;
e150.. - 28*b5 + x101 =G= 0;
e151.. - 28*b6 + x102 =G= 0;
e152.. - 28*b7 + x103 =G= 0;
e153.. - 28*b8 + x104 =G= 0;
e154.. - 28*b9 + x105 =G= 0;
e155.. - 28*b10 + x106 =G= 0;
e156.. - 28*b11 + x107 =G= 0;
e157.. - 28*b12 + x108 =G= 0;
e158.. - 28*b13 + x109 =G= 0;
e159.. - 28*b14 + x110 =G= 0;
e160.. - 28*b15 + x111 =G= 0;
e161.. - 28*b16 + x112 =G= 0;
e162.. - 28*b17 + x113 =G= 0;
e163.. - 28*b18 + x114 =G= 0;
e164.. - 28*b19 + x115 =G= 0;
e165.. - 28*b20 + x116 =G= 0;
e166.. - 28*b21 + x117 =G= 0;
e167.. - 28*b22 + x118 =G= 0;
e168.. - 28*b23 + x119 =G= 0;
e169.. - 28*b24 + x120 =G= 0;
e170.. - 29.99*b25 + x121 =G= 0;
e171.. - 29.99*b26 + x122 =G= 0;
e172.. - 29.99*b27 + x123 =G= 0;
e173.. - 29.99*b28 + x124 =G= 0;
e174.. - 29.99*b29 + x125 =G= 0;
e175.. - 29.99*b30 + x126 =G= 0;
e176.. - 29.99*b31 + x127 =G= 0;
e177.. - 29.99*b32 + x128 =G= 0;
e178.. - 29.99*b33 + x129 =G= 0;
e179.. - 29.99*b34 + x130 =G= 0;
e180.. - 29.99*b35 + x131 =G= 0;
e181.. - 29.99*b36 + x132 =G= 0;
e182.. - 29.99*b37 + x133 =G= 0;
e183.. - 29.99*b38 + x134 =G= 0;
e184.. - 29.99*b39 + x135 =G= 0;
e185.. - 29.99*b40 + x136 =G= 0;
e186.. - 29.99*b41 + x137 =G= 0;
e187.. - 29.99*b42 + x138 =G= 0;
e188.. - 29.99*b43 + x139 =G= 0;
e189.. - 29.99*b44 + x140 =G= 0;
e190.. - 29.99*b45 + x141 =G= 0;
e191.. - 29.99*b46 + x142 =G= 0;
e192.. - 29.99*b47 + x143 =G= 0;
e193.. - 29.99*b48 + x144 =G= 0;
e194.. - 188.08*b1 + x97 =L= 0;
e195.. - 188.08*b2 + x98 =L= 0;
e196.. - 188.08*b3 + x99 =L= 0;
e197.. - 188.08*b4 + x100 =L= 0;
e198.. - 188.08*b5 + x101 =L= 0;
e199.. - 188.08*b6 + x102 =L= 0;
e200.. - 188.08*b7 + x103 =L= 0;
e201.. - 188.08*b8 + x104 =L= 0;
e202.. - 188.08*b9 + x105 =L= 0;
e203.. - 188.08*b10 + x106 =L= 0;
e204.. - 188.08*b11 + x107 =L= 0;
e205.. - 188.08*b12 + x108 =L= 0;
e206.. - 188.08*b13 + x109 =L= 0;
e207.. - 188.08*b14 + x110 =L= 0;
e208.. - 188.08*b15 + x111 =L= 0;
e209.. - 188.08*b16 + x112 =L= 0;
e210.. - 188.08*b17 + x113 =L= 0;
e211.. - 188.08*b18 + x114 =L= 0;
e212.. - 188.08*b19 + x115 =L= 0;
e213.. - 188.08*b20 + x116 =L= 0;
e214.. - 188.08*b21 + x117 =L= 0;
e215.. - 188.08*b22 + x118 =L= 0;
e216.. - 188.08*b23 + x119 =L= 0;
e217.. - 188.08*b24 + x120 =L= 0;
e218.. - 237.14*b25 + x121 =L= 0;
e219.. - 237.14*b26 + x122 =L= 0;
e220.. - 237.14*b27 + x123 =L= 0;
e221.. - 237.14*b28 + x124 =L= 0;
e222.. - 237.14*b29 + x125 =L= 0;
e223.. - 237.14*b30 + x126 =L= 0;
e224.. - 237.14*b31 + x127 =L= 0;
e225.. - 237.14*b32 + x128 =L= 0;
e226.. - 237.14*b33 + x129 =L= 0;
e227.. - 237.14*b34 + x130 =L= 0;
e228.. - 237.14*b35 + x131 =L= 0;
e229.. - 237.14*b36 + x132 =L= 0;
e230.. - 237.14*b37 + x133 =L= 0;
e231.. - 237.14*b38 + x134 =L= 0;
e232.. - 237.14*b39 + x135 =L= 0;
e233.. - 237.14*b40 + x136 =L= 0;
e234.. - 237.14*b41 + x137 =L= 0;
e235.. - 237.14*b42 + x138 =L= 0;
e236.. - 237.14*b43 + x139 =L= 0;
e237.. - 237.14*b44 + x140 =L= 0;
e238.. - 237.14*b45 + x141 =L= 0;
e239.. - 237.14*b46 + x142 =L= 0;
e240.. - 237.14*b47 + x143 =L= 0;
e241.. - 237.14*b48 + x144 =L= 0;
e242.. x193 - x194 =L= 2.0601;
e243.. x194 - x195 =L= 2.0601;
e244.. x195 - x196 =L= 2.0601;
e245.. x196 - x197 =L= 2.0601;
e246.. x197 - x198 =L= 2.0601;
e247.. x198 - x199 =L= 2.0601;
e248.. x199 - x200 =L= 2.0601;
e249.. x200 - x201 =L= 2.0601;
e250.. x201 - x202 =L= 2.0601;
e251.. x202 - x203 =L= 2.0601;
e252.. x203 - x204 =L= 2.0601;
e253.. x204 - x205 =L= 2.0601;
e254.. x205 - x206 =L= 2.0601;
e255.. x206 - x207 =L= 2.0601;
e256.. x207 - x208 =L= 2.0601;
e257.. x208 - x209 =L= 2.0601;
e258.. x209 - x210 =L= 2.0601;
e259.. x210 - x211 =L= 2.0601;
e260.. x211 - x212 =L= 2.0601;
e261.. x212 - x213 =L= 2.0601;
e262.. x213 - x214 =L= 2.0601;
e263.. x214 - x215 =L= 2.0601;
e264.. x215 - x216 =L= 2.0601;
e265.. x217 - x218 =L= 1.944;
e266.. x218 - x219 =L= 1.944;
e267.. x219 - x220 =L= 1.944;
e268.. x220 - x221 =L= 1.944;
e269.. x221 - x222 =L= 1.944;
e270.. x222 - x223 =L= 1.944;
e271.. x223 - x224 =L= 1.944;
e272.. x224 - x225 =L= 1.944;
e273.. x225 - x226 =L= 1.944;
e274.. x226 - x227 =L= 1.944;
e275.. x227 - x228 =L= 1.944;
e276.. x228 - x229 =L= 1.944;
e277.. x229 - x230 =L= 1.944;
e278.. x230 - x231 =L= 1.944;
e279.. x231 - x232 =L= 1.944;
e280.. x232 - x233 =L= 1.944;
e281.. x233 - x234 =L= 1.944;
e282.. x234 - x235 =L= 1.944;
e283.. x235 - x236 =L= 1.944;
e284.. x236 - x237 =L= 1.944;
e285.. x237 - x238 =L= 1.944;
e286.. x238 - x239 =L= 1.944;
e287.. x239 - x240 =L= 1.944;
e288.. - x193 + x194 =L= 2.0601;
e289.. - x194 + x195 =L= 2.0601;
e290.. - x195 + x196 =L= 2.0601;
e291.. - x196 + x197 =L= 2.0601;
e292.. - x197 + x198 =L= 2.0601;
e293.. - x198 + x199 =L= 2.0601;
e294.. - x199 + x200 =L= 2.0601;
e295.. - x200 + x201 =L= 2.0601;
e296.. - x201 + x202 =L= 2.0601;
e297.. - x202 + x203 =L= 2.0601;
e298.. - x203 + x204 =L= 2.0601;
e299.. - x204 + x205 =L= 2.0601;
e300.. - x205 + x206 =L= 2.0601;
e301.. - x206 + x207 =L= 2.0601;
e302.. - x207 + x208 =L= 2.0601;
e303.. - x208 + x209 =L= 2.0601;
e304.. - x209 + x210 =L= 2.0601;
e305.. - x210 + x211 =L= 2.0601;
e306.. - x211 + x212 =L= 2.0601;
e307.. - x212 + x213 =L= 2.0601;
e308.. - x213 + x214 =L= 2.0601;
e309.. - x214 + x215 =L= 2.0601;
e310.. - x215 + x216 =L= 2.0601;
e311.. - x217 + x218 =L= 1.944;
e312.. - x218 + x219 =L= 1.944;
e313.. - x219 + x220 =L= 1.944;
e314.. - x220 + x221 =L= 1.944;
e315.. - x221 + x222 =L= 1.944;
e316.. - x222 + x223 =L= 1.944;
e317.. - x223 + x224 =L= 1.944;
e318.. - x224 + x225 =L= 1.944;
e319.. - x225 + x226 =L= 1.944;
e320.. - x226 + x227 =L= 1.944;
e321.. - x227 + x228 =L= 1.944;
e322.. - x228 + x229 =L= 1.944;
e323.. - x229 + x230 =L= 1.944;
e324.. - x230 + x231 =L= 1.944;
e325.. - x231 + x232 =L= 1.944;
e326.. - x232 + x233 =L= 1.944;
e327.. - x233 + x234 =L= 1.944;
e328.. - x234 + x235 =L= 1.944;
e329.. - x235 + x236 =L= 1.944;
e330.. - x236 + x237 =L= 1.944;
e331.. - x237 + x238 =L= 1.944;
e332.. - x238 + x239 =L= 1.944;
e333.. - x239 + x240 =L= 1.944;
e334.. - b1 + b49 =G= 0;
e335.. b1 - b2 + b50 =G= 0;
e336.. b2 - b3 + b51 =G= 0;
e337.. b3 - b4 + b52 =G= 0;
e338.. b4 - b5 + b53 =G= 0;
e339.. b5 - b6 + b54 =G= 0;
e340.. b6 - b7 + b55 =G= 0;
e341.. b7 - b8 + b56 =G= 0;
e342.. b8 - b9 + b57 =G= 0;
e343.. b9 - b10 + b58 =G= 0;
e344.. b10 - b11 + b59 =G= 0;
e345.. b11 - b12 + b60 =G= 0;
e346.. b12 - b13 + b61 =G= 0;
e347.. b13 - b14 + b62 =G= 0;
e348.. b14 - b15 + b63 =G= 0;
e349.. b15 - b16 + b64 =G= 0;
e350.. b16 - b17 + b65 =G= 0;
e351.. b17 - b18 + b66 =G= 0;
e352.. b18 - b19 + b67 =G= 0;
e353.. b19 - b20 + b68 =G= 0;
e354.. b20 - b21 + b69 =G= 0;
e355.. b21 - b22 + b70 =G= 0;
e356.. b22 - b23 + b71 =G= 0;
e357.. b23 - b24 + b72 =G= 0;
e358.. - b25 + b73 =G= 0;
e359.. b25 - b26 + b74 =G= 0;
e360.. b26 - b27 + b75 =G= 0;
e361.. b27 - b28 + b76 =G= 0;
e362.. b28 - b29 + b77 =G= 0;
e363.. b29 - b30 + b78 =G= 0;
e364.. b30 - b31 + b79 =G= 0;
e365.. b31 - b32 + b80 =G= 0;
e366.. b32 - b33 + b81 =G= 0;
e367.. b33 - b34 + b82 =G= 0;
e368.. b34 - b35 + b83 =G= 0;
e369.. b35 - b36 + b84 =G= 0;
e370.. b36 - b37 + b85 =G= 0;
e371.. b37 - b38 + b86 =G= 0;
e372.. b38 - b39 + b87 =G= 0;
e373.. b39 - b40 + b88 =G= 0;
e374.. b40 - b41 + b89 =G= 0;
e375.. b41 - b42 + b90 =G= 0;
e376.. b42 - b43 + b91 =G= 0;
e377.. b43 - b44 + b92 =G= 0;
e378.. b44 - b45 + b93 =G= 0;
e379.. b45 - b46 + b94 =G= 0;
e380.. b46 - b47 + b95 =G= 0;
e381.. b47 - b48 + b96 =G= 0;
e382.. -(0.5061084326298*x193*x241 + 50.09702*x193 - 0.5580651303227*x265*x193)
+ x97 =E= 0;
e383.. -(0.5061084326298*x194*x242 + 50.09702*x194 - 0.5580651303227*x266*x194)
+ x98 =E= 0;
e384.. -(0.5061084326298*x195*x243 + 50.09702*x195 - 0.5580651303227*x267*x195)
+ x99 =E= 0;
e385.. -(0.5061084326298*x196*x244 + 50.09702*x196 - 0.5580651303227*x268*x196)
+ x100 =E= 0;
e386.. -(0.5061084326298*x197*x245 + 50.09702*x197 - 0.5580651303227*x269*x197)
+ x101 =E= 0;
e387.. -(0.5061084326298*x198*x246 + 50.09702*x198 - 0.5580651303227*x270*x198)
+ x102 =E= 0;
e388.. -(0.5061084326298*x199*x247 + 50.09702*x199 - 0.5580651303227*x271*x199)
+ x103 =E= 0;
e389.. -(0.5061084326298*x200*x248 + 50.09702*x200 - 0.5580651303227*x272*x200)
+ x104 =E= 0;
e390.. -(0.5061084326298*x201*x249 + 50.09702*x201 - 0.5580651303227*x273*x201)
+ x105 =E= 0;
e391.. -(0.5061084326298*x202*x250 + 50.09702*x202 - 0.5580651303227*x274*x202)
+ x106 =E= 0;
e392.. -(0.5061084326298*x203*x251 + 50.09702*x203 - 0.5580651303227*x275*x203)
+ x107 =E= 0;
e393.. -(0.5061084326298*x204*x252 + 50.09702*x204 - 0.5580651303227*x276*x204)
+ x108 =E= 0;
e394.. -(0.5061084326298*x205*x253 + 50.09702*x205 - 0.5580651303227*x277*x205)
+ x109 =E= 0;
e395.. -(0.5061084326298*x206*x254 + 50.09702*x206 - 0.5580651303227*x278*x206)
+ x110 =E= 0;
e396.. -(0.5061084326298*x207*x255 + 50.09702*x207 - 0.5580651303227*x279*x207)
+ x111 =E= 0;
e397.. -(0.5061084326298*x208*x256 + 50.09702*x208 - 0.5580651303227*x280*x208)
+ x112 =E= 0;
e398.. -(0.5061084326298*x209*x257 + 50.09702*x209 - 0.5580651303227*x281*x209)
+ x113 =E= 0;
e399.. -(0.5061084326298*x210*x258 + 50.09702*x210 - 0.5580651303227*x282*x210)
+ x114 =E= 0;
e400.. -(0.5061084326298*x211*x259 + 50.09702*x211 - 0.5580651303227*x283*x211)
+ x115 =E= 0;
e401.. -(0.5061084326298*x212*x260 + 50.09702*x212 - 0.5580651303227*x284*x212)
+ x116 =E= 0;
e402.. -(0.5061084326298*x213*x261 + 50.09702*x213 - 0.5580651303227*x285*x213)
+ x117 =E= 0;
e403.. -(0.5061084326298*x214*x262 + 50.09702*x214 - 0.5580651303227*x286*x214)
+ x118 =E= 0;
e404.. -(0.5061084326298*x215*x263 + 50.09702*x215 - 0.5580651303227*x287*x215)
+ x119 =E= 0;
e405.. -(0.5061084326298*x216*x264 + 50.09702*x216 - 0.5580651303227*x288*x216)
+ x120 =E= 0;
e406.. -(0.5623466695665*x217*x265 + 78.54163*x217) + x121 =E= 0;
e407.. -(0.5623466695665*x218*x266 + 78.54163*x218) + x122 =E= 0;
e408.. -(0.5623466695665*x219*x267 + 78.54163*x219) + x123 =E= 0;
e409.. -(0.5623466695665*x220*x268 + 78.54163*x220) + x124 =E= 0;
e410.. -(0.5623466695665*x221*x269 + 78.54163*x221) + x125 =E= 0;
e411.. -(0.5623466695665*x222*x270 + 78.54163*x222) + x126 =E= 0;
e412.. -(0.5623466695665*x223*x271 + 78.54163*x223) + x127 =E= 0;
e413.. -(0.5623466695665*x224*x272 + 78.54163*x224) + x128 =E= 0;
e414.. -(0.5623466695665*x225*x273 + 78.54163*x225) + x129 =E= 0;
e415.. -(0.5623466695665*x226*x274 + 78.54163*x226) + x130 =E= 0;
e416.. -(0.5623466695665*x227*x275 + 78.54163*x227) + x131 =E= 0;
e417.. -(0.5623466695665*x228*x276 + 78.54163*x228) + x132 =E= 0;
e418.. -(0.5623466695665*x229*x277 + 78.54163*x229) + x133 =E= 0;
e419.. -(0.5623466695665*x230*x278 + 78.54163*x230) + x134 =E= 0;
e420.. -(0.5623466695665*x231*x279 + 78.54163*x231) + x135 =E= 0;
e421.. -(0.5623466695665*x232*x280 + 78.54163*x232) + x136 =E= 0;
e422.. -(0.5623466695665*x233*x281 + 78.54163*x233) + x137 =E= 0;
e423.. -(0.5623466695665*x234*x282 + 78.54163*x234) + x138 =E= 0;
e424.. -(0.5623466695665*x235*x283 + 78.54163*x235) + x139 =E= 0;
e425.. -(0.5623466695665*x236*x284 + 78.54163*x236) + x140 =E= 0;
e426.. -(0.5623466695665*x237*x285 + 78.54163*x237) + x141 =E= 0;
e427.. -(0.5623466695665*x238*x286 + 78.54163*x238) + x142 =E= 0;
e428.. -(0.5623466695665*x239*x287 + 78.54163*x239) + x143 =E= 0;
e429.. -(0.5623466695665*x240*x288 + 78.54163*x240) + x144 =E= 0;
* set non-default bounds
x97.up = 188.08;
x98.up = 188.08;
x99.up = 188.08;
x100.up = 188.08;
x101.up = 188.08;
x102.up = 188.08;
x103.up = 188.08;
x104.up = 188.08;
x105.up = 188.08;
x106.up = 188.08;
x107.up = 188.08;
x108.up = 188.08;
x109.up = 188.08;
x110.up = 188.08;
x111.up = 188.08;
x112.up = 188.08;
x113.up = 188.08;
x114.up = 188.08;
x115.up = 188.08;
x116.up = 188.08;
x117.up = 188.08;
x118.up = 188.08;
x119.up = 188.08;
x120.up = 188.08;
x121.up = 237.14;
x122.up = 237.14;
x123.up = 237.14;
x124.up = 237.14;
x125.up = 237.14;
x126.up = 237.14;
x127.up = 237.14;
x128.up = 237.14;
x129.up = 237.14;
x130.up = 237.14;
x131.up = 237.14;
x132.up = 237.14;
x133.up = 237.14;
x134.up = 237.14;
x135.up = 237.14;
x136.up = 237.14;
x137.up = 237.14;
x138.up = 237.14;
x139.up = 237.14;
x140.up = 237.14;
x141.up = 237.14;
x142.up = 237.14;
x143.up = 237.14;
x144.up = 237.14;
x193.up = 4.1202;
x194.up = 4.1202;
x195.up = 4.1202;
x196.up = 4.1202;
x197.up = 4.1202;
x198.up = 4.1202;
x199.up = 4.1202;
x200.up = 4.1202;
x201.up = 4.1202;
x202.up = 4.1202;
x203.up = 4.1202;
x204.up = 4.1202;
x205.up = 4.1202;
x206.up = 4.1202;
x207.up = 4.1202;
x208.up = 4.1202;
x209.up = 4.1202;
x210.up = 4.1202;
x211.up = 4.1202;
x212.up = 4.1202;
x213.up = 4.1202;
x214.up = 4.1202;
x215.up = 4.1202;
x216.up = 4.1202;
x217.up = 3.888;
x218.up = 3.888;
x219.up = 3.888;
x220.up = 3.888;
x221.up = 3.888;
x222.up = 3.888;
x223.up = 3.888;
x224.up = 3.888;
x225.up = 3.888;
x226.up = 3.888;
x227.up = 3.888;
x228.up = 3.888;
x229.up = 3.888;
x230.up = 3.888;
x231.up = 3.888;
x232.up = 3.888;
x233.up = 3.888;
x234.up = 3.888;
x235.up = 3.888;
x236.up = 3.888;
x237.up = 3.888;
x238.up = 3.888;
x239.up = 3.888;
x240.up = 3.888;
x241.lo = 5.18; x241.up = 12.94;
x242.lo = 5.18; x242.up = 12.94;
x243.lo = 5.18; x243.up = 12.94;
x244.lo = 5.18; x244.up = 12.94;
x245.lo = 5.18; x245.up = 12.94;
x246.lo = 5.18; x246.up = 12.94;
x247.lo = 5.18; x247.up = 12.94;
x248.lo = 5.18; x248.up = 12.94;
x249.lo = 5.18; x249.up = 12.94;
x250.lo = 5.18; x250.up = 12.94;
x251.lo = 5.18; x251.up = 12.94;
x252.lo = 5.18; x252.up = 12.94;
x253.lo = 5.18; x253.up = 12.94;
x254.lo = 5.18; x254.up = 12.94;
x255.lo = 5.18; x255.up = 12.94;
x256.lo = 5.18; x256.up = 12.94;
x257.lo = 5.18; x257.up = 12.94;
x258.lo = 5.18; x258.up = 12.94;
x259.lo = 5.18; x259.up = 12.94;
x260.lo = 5.18; x260.up = 12.94;
x261.lo = 5.18; x261.up = 12.94;
x262.lo = 5.18; x262.up = 12.94;
x263.lo = 5.18; x263.up = 12.94;
x264.fx = 10.35;
x265.lo = 5.32; x265.up = 13.3;
x266.lo = 5.32; x266.up = 13.3;
x267.lo = 5.32; x267.up = 13.3;
x268.lo = 5.32; x268.up = 13.3;
x269.lo = 5.32; x269.up = 13.3;
x270.lo = 5.32; x270.up = 13.3;
x271.lo = 5.32; x271.up = 13.3;
x272.lo = 5.32; x272.up = 13.3;
x273.lo = 5.32; x273.up = 13.3;
x274.lo = 5.32; x274.up = 13.3;
x275.lo = 5.32; x275.up = 13.3;
x276.lo = 5.32; x276.up = 13.3;
x277.lo = 5.32; x277.up = 13.3;
x278.lo = 5.32; x278.up = 13.3;
x279.lo = 5.32; x279.up = 13.3;
x280.lo = 5.32; x280.up = 13.3;
x281.lo = 5.32; x281.up = 13.3;
x282.lo = 5.32; x282.up = 13.3;
x283.lo = 5.32; x283.up = 13.3;
x284.lo = 5.32; x284.up = 13.3;
x285.lo = 5.32; x285.up = 13.3;
x286.lo = 5.32; x286.up = 13.3;
x287.lo = 5.32; x287.up = 13.3;
x288.fx = 10.64;
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% maximizing objvar;
Last updated: 2025-08-07 Git hash: e62cedfc