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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
Primal Bounds
64.49806199 p1 ( gdx sol )
(infeas: 0)
Dual Bounds
54.39597400 (ALPHAECP)
64.38372996 (ANTIGONE)
64.49805509 (BARON)
64.49806199 (BONMIN)
64.49802844 (COUENNE)
44.72048924 (LINDO)
64.49805571 (SCIP)
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
Infeasibility of initial point 74
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
*        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: 2018-09-14 Git hash: ac5a5314
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