MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

Home // Instances // Documentation // Download // Statistics


Instance: slay10m

Determine the optimal placement of a set of units with fixed width and length such that the Euclidean distance between their center point and a predefined "safety point" is minimized.
Formats ams gms lp mod nl osil pip
Primal Bounds (infeas ≤ 1e-08)
187304.53640000 p1 ( gdx sol )
(infeas: 3e-13)
129579.88380000 p2 ( gdx sol )
(infeas: 4e-16)
Other points (infeas > 1e-08)  
Dual Bounds
9928.96340000 (ALPHAECP)
129579.87680000 (ANTIGONE)
129579.88360000 (BARON)
129579.88000000 (BONMIN)
129579.88290000 (COUENNE)
129579.88380000 (LINDO)
129579.88380000 (SCIP)
References Sawaya, Nicolas W, Reformulations, relaxations and cutting planes for generalized disjunctive programming, PhD thesis, Carnegie Mellon University, 2006.
Source SLay10M.gms from CMU-IBM MINLP solver project page
Application Layout
Added to library 28 Sep 2013
Problem type MBQP
#Variables 290
#Binary Variables 180
#Integer Variables 0
#Nonlinear Variables 20
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type quadratic
Objective curvature convex
#Nonzeros in Objective 110
#Nonlinear Nonzeros in Objective 20
#Constraints 405
#Linear Constraints 405
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature linear
#Nonzeros in Jacobian 1260
#Nonlinear Nonzeros in Jacobian 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian 20
#Nonzeros in Diagonal of Hessian of Lagrangian 20
#Blocks in Hessian of Lagrangian 20
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 3
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
*        406       46      180      180        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        291      111      180        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1371     1351       20        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,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,b97,b98,b99,b100,b101,b102,b103
          ,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115,b116
          ,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128,b129
          ,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141,b142
          ,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154,b155
          ,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167,b168
          ,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180,b181
          ,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193,b194
          ,b195,b196,b197,b198,b199,b200,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,objvar;

Positive Variables  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;

Binary Variables  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,b97,b98,b99,b100,b101,b102
          ,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115
          ,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128
          ,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141
          ,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154
          ,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167
          ,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180
          ,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193
          ,b194,b195,b196,b197,b198,b199,b200;

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;


e1.. -(150*(sqr((-4) + x1) + sqr((-10) + x11)) + 390*(sqr((-10) + x2) + sqr((-
     15) + x12)) + 240*(sqr((-7) + x3) + sqr((-9) + x13)) + 70*(sqr((-3) + x4)
      + sqr((-3) + x14)) + 165*(sqr((-20) + x5) + sqr((-17) + x15)) + 100*(sqr(
     (-18) + x6) + sqr((-8) + x16)) + 200*(sqr((-30) + x7) + sqr((-20) + x17))
      + 400*(sqr((-24) + x8) + sqr((-10) + x18)) + 330*(sqr((-22) + x9) + sqr((
     -6) + x19)) + 220*(sqr((-11) + x10) + sqr((-12) + x20))) - 300*x201
      - 240*x202 - 210*x203 - 140*x204 - 300*x205 - 250*x206 - 300*x207
      - 210*x208 - 320*x209 - 100*x210 - 150*x211 - 220*x212 - 200*x213
      - 300*x214 - 290*x215 - 400*x216 - 220*x217 - 120*x218 - 300*x219
      - 150*x220 - 150*x221 - 100*x222 - 290*x223 - 110*x224 - 100*x225
      - 120*x226 - 180*x227 - 220*x228 - 110*x229 - 100*x230 - 130*x231
      - 190*x232 - 110*x233 - 160*x234 - 400*x235 - 220*x236 - 140*x237
      - 120*x238 - 230*x239 - 260*x240 - 220*x241 - 310*x242 - 140*x243
      - 150*x244 - 130*x245 - 300*x246 - 240*x247 - 210*x248 - 140*x249
      - 300*x250 - 250*x251 - 300*x252 - 210*x253 - 320*x254 - 100*x255
      - 150*x256 - 220*x257 - 200*x258 - 300*x259 - 290*x260 - 400*x261
      - 220*x262 - 120*x263 - 300*x264 - 150*x265 - 150*x266 - 100*x267
      - 290*x268 - 110*x269 - 100*x270 - 120*x271 - 180*x272 - 220*x273
      - 110*x274 - 100*x275 - 130*x276 - 190*x277 - 110*x278 - 160*x279
      - 400*x280 - 220*x281 - 140*x282 - 120*x283 - 230*x284 - 260*x285
      - 220*x286 - 310*x287 - 140*x288 - 150*x289 - 130*x290 + objvar =E= 0;

e2..  - x1 + x2 + x201 =G= 0;

e3..  - x1 + x3 + x202 =G= 0;

e4..  - x1 + x4 + x203 =G= 0;

e5..  - x1 + x5 + x204 =G= 0;

e6..  - x1 + x6 + x205 =G= 0;

e7..  - x1 + x7 + x206 =G= 0;

e8..  - x1 + x8 + x207 =G= 0;

e9..  - x1 + x9 + x208 =G= 0;

e10..  - x1 + x10 + x209 =G= 0;

e11..  - x2 + x3 + x210 =G= 0;

e12..  - x2 + x4 + x211 =G= 0;

e13..  - x2 + x5 + x212 =G= 0;

e14..  - x2 + x6 + x213 =G= 0;

e15..  - x2 + x7 + x214 =G= 0;

e16..  - x2 + x8 + x215 =G= 0;

e17..  - x2 + x9 + x216 =G= 0;

e18..  - x2 + x10 + x217 =G= 0;

e19..  - x3 + x4 + x218 =G= 0;

e20..  - x3 + x5 + x219 =G= 0;

e21..  - x3 + x6 + x220 =G= 0;

e22..  - x3 + x7 + x221 =G= 0;

e23..  - x3 + x8 + x222 =G= 0;

e24..  - x3 + x9 + x223 =G= 0;

e25..  - x3 + x10 + x224 =G= 0;

e26..  - x4 + x5 + x225 =G= 0;

e27..  - x4 + x6 + x226 =G= 0;

e28..  - x4 + x7 + x227 =G= 0;

e29..  - x4 + x8 + x228 =G= 0;

e30..  - x4 + x9 + x229 =G= 0;

e31..  - x4 + x10 + x230 =G= 0;

e32..  - x5 + x6 + x231 =G= 0;

e33..  - x5 + x7 + x232 =G= 0;

e34..  - x5 + x8 + x233 =G= 0;

e35..  - x5 + x9 + x234 =G= 0;

e36..  - x5 + x10 + x235 =G= 0;

e37..  - x6 + x7 + x236 =G= 0;

e38..  - x6 + x8 + x237 =G= 0;

e39..  - x6 + x9 + x238 =G= 0;

e40..  - x6 + x10 + x239 =G= 0;

e41..  - x7 + x8 + x240 =G= 0;

e42..  - x7 + x9 + x241 =G= 0;

e43..  - x7 + x10 + x242 =G= 0;

e44..  - x8 + x9 + x243 =G= 0;

e45..  - x8 + x10 + x244 =G= 0;

e46..  - x9 + x10 + x245 =G= 0;

e47..    x1 - x2 + x201 =G= 0;

e48..    x1 - x3 + x202 =G= 0;

e49..    x1 - x4 + x203 =G= 0;

e50..    x1 - x5 + x204 =G= 0;

e51..    x1 - x6 + x205 =G= 0;

e52..    x1 - x7 + x206 =G= 0;

e53..    x1 - x8 + x207 =G= 0;

e54..    x1 - x9 + x208 =G= 0;

e55..    x1 - x10 + x209 =G= 0;

e56..    x2 - x3 + x210 =G= 0;

e57..    x2 - x4 + x211 =G= 0;

e58..    x2 - x5 + x212 =G= 0;

e59..    x2 - x6 + x213 =G= 0;

e60..    x2 - x7 + x214 =G= 0;

e61..    x2 - x8 + x215 =G= 0;

e62..    x2 - x9 + x216 =G= 0;

e63..    x2 - x10 + x217 =G= 0;

e64..    x3 - x4 + x218 =G= 0;

e65..    x3 - x5 + x219 =G= 0;

e66..    x3 - x6 + x220 =G= 0;

e67..    x3 - x7 + x221 =G= 0;

e68..    x3 - x8 + x222 =G= 0;

e69..    x3 - x9 + x223 =G= 0;

e70..    x3 - x10 + x224 =G= 0;

e71..    x4 - x5 + x225 =G= 0;

e72..    x4 - x6 + x226 =G= 0;

e73..    x4 - x7 + x227 =G= 0;

e74..    x4 - x8 + x228 =G= 0;

e75..    x4 - x9 + x229 =G= 0;

e76..    x4 - x10 + x230 =G= 0;

e77..    x5 - x6 + x231 =G= 0;

e78..    x5 - x7 + x232 =G= 0;

e79..    x5 - x8 + x233 =G= 0;

e80..    x5 - x9 + x234 =G= 0;

e81..    x5 - x10 + x235 =G= 0;

e82..    x6 - x7 + x236 =G= 0;

e83..    x6 - x8 + x237 =G= 0;

e84..    x6 - x9 + x238 =G= 0;

e85..    x6 - x10 + x239 =G= 0;

e86..    x7 - x8 + x240 =G= 0;

e87..    x7 - x9 + x241 =G= 0;

e88..    x7 - x10 + x242 =G= 0;

e89..    x8 - x9 + x243 =G= 0;

e90..    x8 - x10 + x244 =G= 0;

e91..    x9 - x10 + x245 =G= 0;

e92..  - x11 + x12 + x246 =G= 0;

e93..  - x11 + x13 + x247 =G= 0;

e94..  - x11 + x14 + x248 =G= 0;

e95..  - x11 + x15 + x249 =G= 0;

e96..  - x11 + x16 + x250 =G= 0;

e97..  - x11 + x17 + x251 =G= 0;

e98..  - x11 + x18 + x252 =G= 0;

e99..  - x11 + x19 + x253 =G= 0;

e100..  - x11 + x20 + x254 =G= 0;

e101..  - x12 + x13 + x255 =G= 0;

e102..  - x12 + x14 + x256 =G= 0;

e103..  - x12 + x15 + x257 =G= 0;

e104..  - x12 + x16 + x258 =G= 0;

e105..  - x12 + x17 + x259 =G= 0;

e106..  - x12 + x18 + x260 =G= 0;

e107..  - x12 + x19 + x261 =G= 0;

e108..  - x12 + x20 + x262 =G= 0;

e109..  - x13 + x14 + x263 =G= 0;

e110..  - x13 + x15 + x264 =G= 0;

e111..  - x13 + x16 + x265 =G= 0;

e112..  - x13 + x17 + x266 =G= 0;

e113..  - x13 + x18 + x267 =G= 0;

e114..  - x13 + x19 + x268 =G= 0;

e115..  - x13 + x20 + x269 =G= 0;

e116..  - x14 + x15 + x270 =G= 0;

e117..  - x14 + x16 + x271 =G= 0;

e118..  - x14 + x17 + x272 =G= 0;

e119..  - x14 + x18 + x273 =G= 0;

e120..  - x14 + x19 + x274 =G= 0;

e121..  - x14 + x20 + x275 =G= 0;

e122..  - x15 + x16 + x276 =G= 0;

e123..  - x15 + x17 + x277 =G= 0;

e124..  - x15 + x18 + x278 =G= 0;

e125..  - x15 + x19 + x279 =G= 0;

e126..  - x15 + x20 + x280 =G= 0;

e127..  - x16 + x17 + x281 =G= 0;

e128..  - x16 + x18 + x282 =G= 0;

e129..  - x16 + x19 + x283 =G= 0;

e130..  - x16 + x20 + x284 =G= 0;

e131..  - x17 + x18 + x285 =G= 0;

e132..  - x17 + x19 + x286 =G= 0;

e133..  - x17 + x20 + x287 =G= 0;

e134..  - x18 + x19 + x288 =G= 0;

e135..  - x18 + x20 + x289 =G= 0;

e136..  - x19 + x20 + x290 =G= 0;

e137..    x11 - x12 + x246 =G= 0;

e138..    x11 - x13 + x247 =G= 0;

e139..    x11 - x14 + x248 =G= 0;

e140..    x11 - x15 + x249 =G= 0;

e141..    x11 - x16 + x250 =G= 0;

e142..    x11 - x17 + x251 =G= 0;

e143..    x11 - x18 + x252 =G= 0;

e144..    x11 - x19 + x253 =G= 0;

e145..    x11 - x20 + x254 =G= 0;

e146..    x12 - x13 + x255 =G= 0;

e147..    x12 - x14 + x256 =G= 0;

e148..    x12 - x15 + x257 =G= 0;

e149..    x12 - x16 + x258 =G= 0;

e150..    x12 - x17 + x259 =G= 0;

e151..    x12 - x18 + x260 =G= 0;

e152..    x12 - x19 + x261 =G= 0;

e153..    x12 - x20 + x262 =G= 0;

e154..    x13 - x14 + x263 =G= 0;

e155..    x13 - x15 + x264 =G= 0;

e156..    x13 - x16 + x265 =G= 0;

e157..    x13 - x17 + x266 =G= 0;

e158..    x13 - x18 + x267 =G= 0;

e159..    x13 - x19 + x268 =G= 0;

e160..    x13 - x20 + x269 =G= 0;

e161..    x14 - x15 + x270 =G= 0;

e162..    x14 - x16 + x271 =G= 0;

e163..    x14 - x17 + x272 =G= 0;

e164..    x14 - x18 + x273 =G= 0;

e165..    x14 - x19 + x274 =G= 0;

e166..    x14 - x20 + x275 =G= 0;

e167..    x15 - x16 + x276 =G= 0;

e168..    x15 - x17 + x277 =G= 0;

e169..    x15 - x18 + x278 =G= 0;

e170..    x15 - x19 + x279 =G= 0;

e171..    x15 - x20 + x280 =G= 0;

e172..    x16 - x17 + x281 =G= 0;

e173..    x16 - x18 + x282 =G= 0;

e174..    x16 - x19 + x283 =G= 0;

e175..    x16 - x20 + x284 =G= 0;

e176..    x17 - x18 + x285 =G= 0;

e177..    x17 - x19 + x286 =G= 0;

e178..    x17 - x20 + x287 =G= 0;

e179..    x18 - x19 + x288 =G= 0;

e180..    x18 - x20 + x289 =G= 0;

e181..    x19 - x20 + x290 =G= 0;

e182..    x1 - x2 + 40*b21 =L= 34;

e183..    x1 - x3 + 40*b22 =L= 36;

e184..    x1 - x4 + 40*b23 =L= 36.5;

e185..    x1 - x5 + 40*b24 =L= 35.5;

e186..    x1 - x6 + 40*b25 =L= 35;

e187..    x1 - x7 + 40*b26 =L= 33.5;

e188..    x1 - x8 + 40*b27 =L= 35.5;

e189..    x1 - x9 + 40*b28 =L= 36.5;

e190..    x1 - x10 + 40*b29 =L= 34.5;

e191..    x2 - x3 + 40*b30 =L= 35;

e192..    x2 - x4 + 40*b31 =L= 35.5;

e193..    x2 - x5 + 40*b32 =L= 34.5;

e194..    x2 - x6 + 40*b33 =L= 34;

e195..    x2 - x7 + 40*b34 =L= 32.5;

e196..    x2 - x8 + 40*b35 =L= 34.5;

e197..    x2 - x9 + 40*b36 =L= 35.5;

e198..    x2 - x10 + 40*b37 =L= 33.5;

e199..    x3 - x4 + 40*b38 =L= 37.5;

e200..    x3 - x5 + 40*b39 =L= 36.5;

e201..    x3 - x6 + 40*b40 =L= 36;

e202..    x3 - x7 + 40*b41 =L= 34.5;

e203..    x3 - x8 + 40*b42 =L= 36.5;

e204..    x3 - x9 + 40*b43 =L= 37.5;

e205..    x3 - x10 + 40*b44 =L= 35.5;

e206..    x4 - x5 + 40*b45 =L= 37;

e207..    x4 - x6 + 40*b46 =L= 36.5;

e208..    x4 - x7 + 40*b47 =L= 35;

e209..    x4 - x8 + 40*b48 =L= 37;

e210..    x4 - x9 + 40*b49 =L= 38;

e211..    x4 - x10 + 40*b50 =L= 36;

e212..    x5 - x6 + 40*b51 =L= 35.5;

e213..    x5 - x7 + 40*b52 =L= 34;

e214..    x5 - x8 + 40*b53 =L= 36;

e215..    x5 - x9 + 40*b54 =L= 37;

e216..    x5 - x10 + 40*b55 =L= 35;

e217..    x6 - x7 + 40*b56 =L= 33.5;

e218..    x6 - x8 + 40*b57 =L= 35.5;

e219..    x6 - x9 + 40*b58 =L= 36.5;

e220..    x6 - x10 + 40*b59 =L= 34.5;

e221..    x7 - x8 + 40*b60 =L= 34;

e222..    x7 - x9 + 40*b61 =L= 35;

e223..    x7 - x10 + 40*b62 =L= 33;

e224..    x8 - x9 + 40*b63 =L= 37;

e225..    x8 - x10 + 40*b64 =L= 35;

e226..    x9 - x10 + 40*b65 =L= 36;

e227..  - x1 + x2 + 40*b66 =L= 34;

e228..  - x1 + x3 + 40*b67 =L= 36;

e229..  - x1 + x4 + 40*b68 =L= 36.5;

e230..  - x1 + x5 + 40*b69 =L= 35.5;

e231..  - x1 + x6 + 40*b70 =L= 35;

e232..  - x1 + x7 + 40*b71 =L= 33.5;

e233..  - x1 + x8 + 40*b72 =L= 35.5;

e234..  - x1 + x9 + 40*b73 =L= 36.5;

e235..  - x1 + x10 + 40*b74 =L= 34.5;

e236..  - x2 + x3 + 40*b75 =L= 35;

e237..  - x2 + x4 + 40*b76 =L= 35.5;

e238..  - x2 + x5 + 40*b77 =L= 34.5;

e239..  - x2 + x6 + 40*b78 =L= 34;

e240..  - x2 + x7 + 40*b79 =L= 32.5;

e241..  - x2 + x8 + 40*b80 =L= 34.5;

e242..  - x2 + x9 + 40*b81 =L= 35.5;

e243..  - x2 + x10 + 40*b82 =L= 33.5;

e244..  - x3 + x4 + 40*b83 =L= 37.5;

e245..  - x3 + x5 + 40*b84 =L= 36.5;

e246..  - x3 + x6 + 40*b85 =L= 36;

e247..  - x3 + x7 + 40*b86 =L= 34.5;

e248..  - x3 + x8 + 40*b87 =L= 36.5;

e249..  - x3 + x9 + 40*b88 =L= 37.5;

e250..  - x3 + x10 + 40*b89 =L= 35.5;

e251..  - x4 + x5 + 40*b90 =L= 37;

e252..  - x4 + x6 + 40*b91 =L= 36.5;

e253..  - x4 + x7 + 40*b92 =L= 35;

e254..  - x4 + x8 + 40*b93 =L= 37;

e255..  - x4 + x9 + 40*b94 =L= 38;

e256..  - x4 + x10 + 40*b95 =L= 36;

e257..  - x5 + x6 + 40*b96 =L= 35.5;

e258..  - x5 + x7 + 40*b97 =L= 34;

e259..  - x5 + x8 + 40*b98 =L= 36;

e260..  - x5 + x9 + 40*b99 =L= 37;

e261..  - x5 + x10 + 40*b100 =L= 35;

e262..  - x6 + x7 + 40*b101 =L= 33.5;

e263..  - x6 + x8 + 40*b102 =L= 35.5;

e264..  - x6 + x9 + 40*b103 =L= 36.5;

e265..  - x6 + x10 + 40*b104 =L= 34.5;

e266..  - x7 + x8 + 40*b105 =L= 34;

e267..  - x7 + x9 + 40*b106 =L= 35;

e268..  - x7 + x10 + 40*b107 =L= 33;

e269..  - x8 + x9 + 40*b108 =L= 37;

e270..  - x8 + x10 + 40*b109 =L= 35;

e271..  - x9 + x10 + 40*b110 =L= 36;

e272..    x11 - x12 + 40*b111 =L= 34.5;

e273..    x11 - x13 + 40*b112 =L= 35.5;

e274..    x11 - x14 + 40*b113 =L= 35.5;

e275..    x11 - x15 + 40*b114 =L= 35;

e276..    x11 - x16 + 40*b115 =L= 36;

e277..    x11 - x17 + 40*b116 =L= 34;

e278..    x11 - x18 + 40*b117 =L= 34;

e279..    x11 - x19 + 40*b118 =L= 34.5;

e280..    x11 - x20 + 40*b119 =L= 35.5;

e281..    x12 - x13 + 40*b120 =L= 36;

e282..    x12 - x14 + 40*b121 =L= 36;

e283..    x12 - x15 + 40*b122 =L= 35.5;

e284..    x12 - x16 + 40*b123 =L= 36.5;

e285..    x12 - x17 + 40*b124 =L= 34.5;

e286..    x12 - x18 + 40*b125 =L= 34.5;

e287..    x12 - x19 + 40*b126 =L= 35;

e288..    x12 - x20 + 40*b127 =L= 36;

e289..    x13 - x14 + 40*b128 =L= 37;

e290..    x13 - x15 + 40*b129 =L= 36.5;

e291..    x13 - x16 + 40*b130 =L= 37.5;

e292..    x13 - x17 + 40*b131 =L= 35.5;

e293..    x13 - x18 + 40*b132 =L= 35.5;

e294..    x13 - x19 + 40*b133 =L= 36;

e295..    x13 - x20 + 40*b134 =L= 37;

e296..    x14 - x15 + 40*b135 =L= 36.5;

e297..    x14 - x16 + 40*b136 =L= 37.5;

e298..    x14 - x17 + 40*b137 =L= 35.5;

e299..    x14 - x18 + 40*b138 =L= 35.5;

e300..    x14 - x19 + 40*b139 =L= 36;

e301..    x14 - x20 + 40*b140 =L= 37;

e302..    x15 - x16 + 40*b141 =L= 37;

e303..    x15 - x17 + 40*b142 =L= 35;

e304..    x15 - x18 + 40*b143 =L= 35;

e305..    x15 - x19 + 40*b144 =L= 35.5;

e306..    x15 - x20 + 40*b145 =L= 36.5;

e307..    x16 - x17 + 40*b146 =L= 36;

e308..    x16 - x18 + 40*b147 =L= 36;

e309..    x16 - x19 + 40*b148 =L= 36.5;

e310..    x16 - x20 + 40*b149 =L= 37.5;

e311..    x17 - x18 + 40*b150 =L= 34;

e312..    x17 - x19 + 40*b151 =L= 34.5;

e313..    x17 - x20 + 40*b152 =L= 35.5;

e314..    x18 - x19 + 40*b153 =L= 34.5;

e315..    x18 - x20 + 40*b154 =L= 35.5;

e316..    x19 - x20 + 40*b155 =L= 36;

e317..  - x11 + x12 + 40*b156 =L= 34.5;

e318..  - x11 + x13 + 40*b157 =L= 35.5;

e319..  - x11 + x14 + 40*b158 =L= 35.5;

e320..  - x11 + x15 + 40*b159 =L= 35;

e321..  - x11 + x16 + 40*b160 =L= 36;

e322..  - x11 + x17 + 40*b161 =L= 34;

e323..  - x11 + x18 + 40*b162 =L= 34;

e324..  - x11 + x19 + 40*b163 =L= 34.5;

e325..  - x11 + x20 + 40*b164 =L= 35.5;

e326..  - x12 + x13 + 40*b165 =L= 36;

e327..  - x12 + x14 + 40*b166 =L= 36;

e328..  - x12 + x15 + 40*b167 =L= 35.5;

e329..  - x12 + x16 + 40*b168 =L= 36.5;

e330..  - x12 + x17 + 40*b169 =L= 34.5;

e331..  - x12 + x18 + 40*b170 =L= 34.5;

e332..  - x12 + x19 + 40*b171 =L= 35;

e333..  - x12 + x20 + 40*b172 =L= 36;

e334..  - x13 + x14 + 40*b173 =L= 37;

e335..  - x13 + x15 + 40*b174 =L= 36.5;

e336..  - x13 + x16 + 40*b175 =L= 37.5;

e337..  - x13 + x17 + 40*b176 =L= 35.5;

e338..  - x13 + x18 + 40*b177 =L= 35.5;

e339..  - x13 + x19 + 40*b178 =L= 36;

e340..  - x13 + x20 + 40*b179 =L= 37;

e341..  - x14 + x15 + 40*b180 =L= 36.5;

e342..  - x14 + x16 + 40*b181 =L= 37.5;

e343..  - x14 + x17 + 40*b182 =L= 35.5;

e344..  - x14 + x18 + 40*b183 =L= 35.5;

e345..  - x14 + x19 + 40*b184 =L= 36;

e346..  - x14 + x20 + 40*b185 =L= 37;

e347..  - x15 + x16 + 40*b186 =L= 37;

e348..  - x15 + x17 + 40*b187 =L= 35;

e349..  - x15 + x18 + 40*b188 =L= 35;

e350..  - x15 + x19 + 40*b189 =L= 35.5;

e351..  - x15 + x20 + 40*b190 =L= 36.5;

e352..  - x16 + x17 + 40*b191 =L= 36;

e353..  - x16 + x18 + 40*b192 =L= 36;

e354..  - x16 + x19 + 40*b193 =L= 36.5;

e355..  - x16 + x20 + 40*b194 =L= 37.5;

e356..  - x17 + x18 + 40*b195 =L= 34;

e357..  - x17 + x19 + 40*b196 =L= 34.5;

e358..  - x17 + x20 + 40*b197 =L= 35.5;

e359..  - x18 + x19 + 40*b198 =L= 34.5;

e360..  - x18 + x20 + 40*b199 =L= 35.5;

e361..  - x19 + x20 + 40*b200 =L= 36;

e362..    b21 + b66 + b111 + b156 =E= 1;

e363..    b22 + b67 + b112 + b157 =E= 1;

e364..    b23 + b68 + b113 + b158 =E= 1;

e365..    b24 + b69 + b114 + b159 =E= 1;

e366..    b25 + b70 + b115 + b160 =E= 1;

e367..    b26 + b71 + b116 + b161 =E= 1;

e368..    b27 + b72 + b117 + b162 =E= 1;

e369..    b28 + b73 + b118 + b163 =E= 1;

e370..    b29 + b74 + b119 + b164 =E= 1;

e371..    b30 + b75 + b120 + b165 =E= 1;

e372..    b31 + b76 + b121 + b166 =E= 1;

e373..    b32 + b77 + b122 + b167 =E= 1;

e374..    b33 + b78 + b123 + b168 =E= 1;

e375..    b34 + b79 + b124 + b169 =E= 1;

e376..    b35 + b80 + b125 + b170 =E= 1;

e377..    b36 + b81 + b126 + b171 =E= 1;

e378..    b37 + b82 + b127 + b172 =E= 1;

e379..    b38 + b83 + b128 + b173 =E= 1;

e380..    b39 + b84 + b129 + b174 =E= 1;

e381..    b40 + b85 + b130 + b175 =E= 1;

e382..    b41 + b86 + b131 + b176 =E= 1;

e383..    b42 + b87 + b132 + b177 =E= 1;

e384..    b43 + b88 + b133 + b178 =E= 1;

e385..    b44 + b89 + b134 + b179 =E= 1;

e386..    b45 + b90 + b135 + b180 =E= 1;

e387..    b46 + b91 + b136 + b181 =E= 1;

e388..    b47 + b92 + b137 + b182 =E= 1;

e389..    b48 + b93 + b138 + b183 =E= 1;

e390..    b49 + b94 + b139 + b184 =E= 1;

e391..    b50 + b95 + b140 + b185 =E= 1;

e392..    b51 + b96 + b141 + b186 =E= 1;

e393..    b52 + b97 + b142 + b187 =E= 1;

e394..    b53 + b98 + b143 + b188 =E= 1;

e395..    b54 + b99 + b144 + b189 =E= 1;

e396..    b55 + b100 + b145 + b190 =E= 1;

e397..    b56 + b101 + b146 + b191 =E= 1;

e398..    b57 + b102 + b147 + b192 =E= 1;

e399..    b58 + b103 + b148 + b193 =E= 1;

e400..    b59 + b104 + b149 + b194 =E= 1;

e401..    b60 + b105 + b150 + b195 =E= 1;

e402..    b61 + b106 + b151 + b196 =E= 1;

e403..    b62 + b107 + b152 + b197 =E= 1;

e404..    b63 + b108 + b153 + b198 =E= 1;

e405..    b64 + b109 + b154 + b199 =E= 1;

e406..    b65 + b110 + b155 + b200 =E= 1;

* set non-default bounds
x1.lo = 2.5; x1.up = 37.5;
x2.lo = 3.5; x2.up = 36.5;
x3.lo = 1.5; x3.up = 38.5;
x4.lo = 1; x4.up = 39;
x5.lo = 2; x5.up = 38;
x6.lo = 2.5; x6.up = 37.5;
x7.lo = 4; x7.up = 36;
x8.lo = 2; x8.up = 38;
x9.lo = 1; x9.up = 39;
x10.lo = 3; x10.up = 37;
x11.lo = 3; x11.up = 37;
x12.lo = 2.5; x12.up = 37.5;
x13.lo = 1.5; x13.up = 38.5;
x14.lo = 1.5; x14.up = 38.5;
x15.lo = 2; x15.up = 38;
x16.lo = 1; x16.up = 39;
x17.lo = 3; x17.up = 37;
x18.lo = 3; x18.up = 37;
x19.lo = 2.5; x19.up = 37.5;
x20.lo = 1.5; x20.up = 38.5;

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: 2019-06-04 Git hash: 78444eaa
Imprint / Privacy Policy