MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance blendgap
| Formatsⓘ | ams gms osil |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | -19673.14884000 (LINDO) -20639.94000000 (XPRESS) |
| Sourceⓘ | GAMS Client |
| Added to libraryⓘ | 19 Feb 2005 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 331 |
| #Binary Variablesⓘ | 66 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 264 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | quadratic |
| Objective curvatureⓘ | indefinite |
| #Nonzeros in Objectiveⓘ | 99 |
| #Nonlinear Nonzeros in Objectiveⓘ | 33 |
| #Constraintsⓘ | 359 |
| #Linear Constraintsⓘ | 205 |
| #Quadratic Constraintsⓘ | 44 |
| #Polynomial Constraintsⓘ | 11 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 99 |
| Operands in Gen. Nonlin. Functionsⓘ | errorf exp mul sqr |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1354 |
| #Nonlinear Nonzeros in Jacobianⓘ | 407 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 407 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 121 |
| #Blocks in Hessian of Lagrangianⓘ | 121 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 10 |
| Average blocksize in Hessian of Lagrangianⓘ | 2.181818 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.0000e-02 |
| Maximal coefficientⓘ | 1.0000e+03 |
| Infeasibility of initial pointⓘ | 9400 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 360 200 132 28 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 332 266 66 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1454 1014 440 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,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,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,objvar;
Positive 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,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,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;
Binary Variables 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;
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;
e1.. x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 =L= 800;
e2.. x12 + x13 + x14 + x15 + x16 + x17 + x18 + x19 + x20 + x21 + x22 =L= 800
;
e3.. x23 + x24 + x25 + x26 + x27 + x28 + x29 + x30 + x31 + x32 + x33 =L= 800
;
e4.. x34 + x35 + x36 + x37 + x38 + x39 + x40 + x41 + x42 + x43 + x44 =L= 800
;
e5.. x45 + x46 + x47 + x48 + x49 + x50 + x51 + x52 + x53 + x54 + x55 =L= 800
;
e6.. x56 + x57 + x58 + x59 + x60 + x61 + x62 + x63 + x64 + x65 + x66 =L= 800
;
e7.. - x1 - x12 - x23 - x34 - x45 - x56 + x133 =E= 0;
e8.. - x2 - x13 - x24 - x35 - x46 - x57 + x134 =E= 0;
e9.. - x3 - x14 - x25 - x36 - x47 - x58 + x135 =E= 0;
e10.. - x4 - x15 - x26 - x37 - x48 - x59 + x136 =E= 0;
e11.. - x5 - x16 - x27 - x38 - x49 - x60 + x137 =E= 0;
e12.. - x6 - x17 - x28 - x39 - x50 - x61 + x138 =E= 0;
e13.. - x7 - x18 - x29 - x40 - x51 - x62 + x139 =E= 0;
e14.. - x8 - x19 - x30 - x41 - x52 - x63 + x140 =E= 0;
e15.. - x9 - x20 - x31 - x42 - x53 - x64 + x141 =E= 0;
e16.. - x10 - x21 - x32 - x43 - x54 - x65 + x142 =E= 0;
e17.. - x11 - x22 - x33 - x44 - x55 - x66 + x143 =E= 0;
e18.. - x133 - x134 - x135 - x136 - x137 - x138 - x139 - x140 - x141 - x142
- x143 + x144 =E= 0;
e19.. x145*x133 - 13.1*x1 - 13.9*x12 - 12.8*x23 - 14.6*x34 - 15.9*x45
- 14.1*x56 =E= 0;
e20.. x146*x134 - 13.1*x2 - 13.9*x13 - 12.8*x24 - 14.6*x35 - 15.9*x46
- 14.1*x57 =E= 0;
e21.. x147*x135 - 13.1*x3 - 13.9*x14 - 12.8*x25 - 14.6*x36 - 15.9*x47
- 14.1*x58 =E= 0;
e22.. x148*x136 - 13.1*x4 - 13.9*x15 - 12.8*x26 - 14.6*x37 - 15.9*x48
- 14.1*x59 =E= 0;
e23.. x149*x137 - 13.1*x5 - 13.9*x16 - 12.8*x27 - 14.6*x38 - 15.9*x49
- 14.1*x60 =E= 0;
e24.. x150*x138 - 13.1*x6 - 13.9*x17 - 12.8*x28 - 14.6*x39 - 15.9*x50
- 14.1*x61 =E= 0;
e25.. x151*x139 - 13.1*x7 - 13.9*x18 - 12.8*x29 - 14.6*x40 - 15.9*x51
- 14.1*x62 =E= 0;
e26.. x152*x140 - 13.1*x8 - 13.9*x19 - 12.8*x30 - 14.6*x41 - 15.9*x52
- 14.1*x63 =E= 0;
e27.. x153*x141 - 13.1*x9 - 13.9*x20 - 12.8*x31 - 14.6*x42 - 15.9*x53
- 14.1*x64 =E= 0;
e28.. x154*x142 - 13.1*x10 - 13.9*x21 - 12.8*x32 - 14.6*x43 - 15.9*x54
- 14.1*x65 =E= 0;
e29.. x155*x143 - 13.1*x11 - 13.9*x22 - 12.8*x33 - 14.6*x44 - 15.9*x55
- 14.1*x66 =E= 0;
e30.. sqr(x156)*sqr(x133) - (sqr(x1) + sqr(x12) + sqr(x23) + sqr(x34) + sqr(x45
) + sqr(x56)) =E= 0;
e31.. sqr(x157)*sqr(x134) - (sqr(x2) + sqr(x13) + sqr(x24) + sqr(x35) + sqr(x46
) + sqr(x57)) =E= 0;
e32.. sqr(x158)*sqr(x135) - (sqr(x3) + sqr(x14) + sqr(x25) + sqr(x36) + sqr(x47
) + sqr(x58)) =E= 0;
e33.. sqr(x159)*sqr(x136) - (sqr(x4) + sqr(x15) + sqr(x26) + sqr(x37) + sqr(x48
) + sqr(x59)) =E= 0;
e34.. sqr(x160)*sqr(x137) - (sqr(x5) + sqr(x16) + sqr(x27) + sqr(x38) + sqr(x49
) + sqr(x60)) =E= 0;
e35.. sqr(x161)*sqr(x138) - (sqr(x6) + sqr(x17) + sqr(x28) + sqr(x39) + sqr(x50
) + sqr(x61)) =E= 0;
e36.. sqr(x162)*sqr(x139) - (sqr(x7) + sqr(x18) + sqr(x29) + sqr(x40) + sqr(x51
) + sqr(x62)) =E= 0;
e37.. sqr(x163)*sqr(x140) - (sqr(x8) + sqr(x19) + sqr(x30) + sqr(x41) + sqr(x52
) + sqr(x63)) =E= 0;
e38.. sqr(x164)*sqr(x141) - (sqr(x9) + sqr(x20) + sqr(x31) + sqr(x42) + sqr(x53
) + sqr(x64)) =E= 0;
e39.. sqr(x165)*sqr(x142) - (sqr(x10) + sqr(x21) + sqr(x32) + sqr(x43) + sqr(
x54) + sqr(x65)) =E= 0;
e40.. sqr(x166)*sqr(x143) - (sqr(x11) + sqr(x22) + sqr(x33) + sqr(x44) + sqr(
x55) + sqr(x66)) =E= 0;
e41.. b67 + b78 + b89 =L= 1;
e42.. b68 + b79 + b90 =L= 1;
e43.. b69 + b80 + b91 =L= 1;
e44.. b70 + b81 + b92 =L= 1;
e45.. b71 + b82 + b93 =L= 1;
e46.. b72 + b83 + b94 =L= 1;
e47.. b73 + b84 + b95 =L= 1;
e48.. b74 + b85 + b96 =L= 1;
e49.. b75 + b86 + b97 =L= 1;
e50.. b76 + b87 + b98 =L= 1;
e51.. b77 + b88 + b99 =L= 1;
e52.. b100 + b111 + b122 =L= 1;
e53.. b101 + b112 + b123 =L= 1;
e54.. b102 + b113 + b124 =L= 1;
e55.. b103 + b114 + b125 =L= 1;
e56.. b104 + b115 + b126 =L= 1;
e57.. b105 + b116 + b127 =L= 1;
e58.. b106 + b117 + b128 =L= 1;
e59.. b107 + b118 + b129 =L= 1;
e60.. b108 + b119 + b130 =L= 1;
e61.. b109 + b120 + b131 =L= 1;
e62.. b110 + b121 + b132 =L= 1;
e63.. - x1 + 1000*b67 =G= 0;
e64.. - x2 + 1000*b68 =G= 0;
e65.. - x3 + 1000*b69 =G= 0;
e66.. - x4 + 1000*b70 =G= 0;
e67.. - x5 + 1000*b71 =G= 0;
e68.. - x6 + 1000*b72 =G= 0;
e69.. - x7 + 1000*b73 =G= 0;
e70.. - x8 + 1000*b74 =G= 0;
e71.. - x9 + 1000*b75 =G= 0;
e72.. - x10 + 1000*b76 =G= 0;
e73.. - x11 + 1000*b77 =G= 0;
e74.. - x12 + 1000*b78 =G= 0;
e75.. - x13 + 1000*b79 =G= 0;
e76.. - x14 + 1000*b80 =G= 0;
e77.. - x15 + 1000*b81 =G= 0;
e78.. - x16 + 1000*b82 =G= 0;
e79.. - x17 + 1000*b83 =G= 0;
e80.. - x18 + 1000*b84 =G= 0;
e81.. - x19 + 1000*b85 =G= 0;
e82.. - x20 + 1000*b86 =G= 0;
e83.. - x21 + 1000*b87 =G= 0;
e84.. - x22 + 1000*b88 =G= 0;
e85.. - x23 + 1000*b89 =G= 0;
e86.. - x24 + 1000*b90 =G= 0;
e87.. - x25 + 1000*b91 =G= 0;
e88.. - x26 + 1000*b92 =G= 0;
e89.. - x27 + 1000*b93 =G= 0;
e90.. - x28 + 1000*b94 =G= 0;
e91.. - x29 + 1000*b95 =G= 0;
e92.. - x30 + 1000*b96 =G= 0;
e93.. - x31 + 1000*b97 =G= 0;
e94.. - x32 + 1000*b98 =G= 0;
e95.. - x33 + 1000*b99 =G= 0;
e96.. - x34 + 1000*b100 =G= 0;
e97.. - x35 + 1000*b101 =G= 0;
e98.. - x36 + 1000*b102 =G= 0;
e99.. - x37 + 1000*b103 =G= 0;
e100.. - x38 + 1000*b104 =G= 0;
e101.. - x39 + 1000*b105 =G= 0;
e102.. - x40 + 1000*b106 =G= 0;
e103.. - x41 + 1000*b107 =G= 0;
e104.. - x42 + 1000*b108 =G= 0;
e105.. - x43 + 1000*b109 =G= 0;
e106.. - x44 + 1000*b110 =G= 0;
e107.. - x45 + 1000*b111 =G= 0;
e108.. - x46 + 1000*b112 =G= 0;
e109.. - x47 + 1000*b113 =G= 0;
e110.. - x48 + 1000*b114 =G= 0;
e111.. - x49 + 1000*b115 =G= 0;
e112.. - x50 + 1000*b116 =G= 0;
e113.. - x51 + 1000*b117 =G= 0;
e114.. - x52 + 1000*b118 =G= 0;
e115.. - x53 + 1000*b119 =G= 0;
e116.. - x54 + 1000*b120 =G= 0;
e117.. - x55 + 1000*b121 =G= 0;
e118.. - x56 + 1000*b122 =G= 0;
e119.. - x57 + 1000*b123 =G= 0;
e120.. - x58 + 1000*b124 =G= 0;
e121.. - x59 + 1000*b125 =G= 0;
e122.. - x60 + 1000*b126 =G= 0;
e123.. - x61 + 1000*b127 =G= 0;
e124.. - x62 + 1000*b128 =G= 0;
e125.. - x63 + 1000*b129 =G= 0;
e126.. - x64 + 1000*b130 =G= 0;
e127.. - x65 + 1000*b131 =G= 0;
e128.. - x66 + 1000*b132 =G= 0;
e129.. - 800*b78 =G= 0;
e130.. x1 - 800*b79 =G= 0;
e131.. x1 + x2 - 800*b80 =G= 0;
e132.. x1 + x2 + x3 - 800*b81 =G= 0;
e133.. x1 + x2 + x3 + x4 - 800*b82 =G= 0;
e134.. x1 + x2 + x3 + x4 + x5 - 800*b83 =G= 0;
e135.. x1 + x2 + x3 + x4 + x5 + x6 - 800*b84 =G= 0;
e136.. x1 + x2 + x3 + x4 + x5 + x6 + x7 - 800*b85 =G= 0;
e137.. x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 - 800*b86 =G= 0;
e138.. x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 - 800*b87 =G= 0;
e139.. x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 - 800*b88 =G= 0;
e140.. - 800*b89 =G= 0;
e141.. x1 - 800*b90 =G= 0;
e142.. x1 + x2 - 800*b91 =G= 0;
e143.. x1 + x2 + x3 - 800*b92 =G= 0;
e144.. x1 + x2 + x3 + x4 - 800*b93 =G= 0;
e145.. x1 + x2 + x3 + x4 + x5 - 800*b94 =G= 0;
e146.. x1 + x2 + x3 + x4 + x5 + x6 - 800*b95 =G= 0;
e147.. x1 + x2 + x3 + x4 + x5 + x6 + x7 - 800*b96 =G= 0;
e148.. x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 - 800*b97 =G= 0;
e149.. x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 - 800*b98 =G= 0;
e150.. x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 - 800*b99 =G= 0;
e151.. - 800*b89 =G= 0;
e152.. x12 - 800*b90 =G= 0;
e153.. x12 + x13 - 800*b91 =G= 0;
e154.. x12 + x13 + x14 - 800*b92 =G= 0;
e155.. x12 + x13 + x14 + x15 - 800*b93 =G= 0;
e156.. x12 + x13 + x14 + x15 + x16 - 800*b94 =G= 0;
e157.. x12 + x13 + x14 + x15 + x16 + x17 - 800*b95 =G= 0;
e158.. x12 + x13 + x14 + x15 + x16 + x17 + x18 - 800*b96 =G= 0;
e159.. x12 + x13 + x14 + x15 + x16 + x17 + x18 + x19 - 800*b97 =G= 0;
e160.. x12 + x13 + x14 + x15 + x16 + x17 + x18 + x19 + x20 - 800*b98 =G= 0;
e161.. x12 + x13 + x14 + x15 + x16 + x17 + x18 + x19 + x20 + x21 - 800*b99
=G= 0;
e162.. - 800*b111 =G= 0;
e163.. x34 - 800*b112 =G= 0;
e164.. x34 + x35 - 800*b113 =G= 0;
e165.. x34 + x35 + x36 - 800*b114 =G= 0;
e166.. x34 + x35 + x36 + x37 - 800*b115 =G= 0;
e167.. x34 + x35 + x36 + x37 + x38 - 800*b116 =G= 0;
e168.. x34 + x35 + x36 + x37 + x38 + x39 - 800*b117 =G= 0;
e169.. x34 + x35 + x36 + x37 + x38 + x39 + x40 - 800*b118 =G= 0;
e170.. x34 + x35 + x36 + x37 + x38 + x39 + x40 + x41 - 800*b119 =G= 0;
e171.. x34 + x35 + x36 + x37 + x38 + x39 + x40 + x41 + x42 - 800*b120 =G= 0;
e172.. x34 + x35 + x36 + x37 + x38 + x39 + x40 + x41 + x42 + x43 - 800*b121
=G= 0;
e173.. - 800*b122 =G= 0;
e174.. x34 - 800*b123 =G= 0;
e175.. x34 + x35 - 800*b124 =G= 0;
e176.. x34 + x35 + x36 - 800*b125 =G= 0;
e177.. x34 + x35 + x36 + x37 - 800*b126 =G= 0;
e178.. x34 + x35 + x36 + x37 + x38 - 800*b127 =G= 0;
e179.. x34 + x35 + x36 + x37 + x38 + x39 - 800*b128 =G= 0;
e180.. x34 + x35 + x36 + x37 + x38 + x39 + x40 - 800*b129 =G= 0;
e181.. x34 + x35 + x36 + x37 + x38 + x39 + x40 + x41 - 800*b130 =G= 0;
e182.. x34 + x35 + x36 + x37 + x38 + x39 + x40 + x41 + x42 - 800*b131 =G= 0;
e183.. x34 + x35 + x36 + x37 + x38 + x39 + x40 + x41 + x42 + x43 - 800*b132
=G= 0;
e184.. - 800*b122 =G= 0;
e185.. x45 - 800*b123 =G= 0;
e186.. x45 + x46 - 800*b124 =G= 0;
e187.. x45 + x46 + x47 - 800*b125 =G= 0;
e188.. x45 + x46 + x47 + x48 - 800*b126 =G= 0;
e189.. x45 + x46 + x47 + x48 + x49 - 800*b127 =G= 0;
e190.. x45 + x46 + x47 + x48 + x49 + x50 - 800*b128 =G= 0;
e191.. x45 + x46 + x47 + x48 + x49 + x50 + x51 - 800*b129 =G= 0;
e192.. x45 + x46 + x47 + x48 + x49 + x50 + x51 + x52 - 800*b130 =G= 0;
e193.. x45 + x46 + x47 + x48 + x49 + x50 + x51 + x52 + x53 - 800*b131 =G= 0;
e194.. x45 + x46 + x47 + x48 + x49 + x50 + x51 + x52 + x53 + x54 - 800*b132
=G= 0;
e195.. x167*x156 + x145 =E= 13;
e196.. x168*x156 + x145 =E= 14;
e197.. x169*x156 + x145 =E= 15;
e198.. x170*x157 + x146 =E= 13;
e199.. x171*x157 + x146 =E= 14;
e200.. x172*x157 + x146 =E= 15;
e201.. x173*x158 + x147 =E= 13;
e202.. x174*x158 + x147 =E= 14;
e203.. x175*x158 + x147 =E= 15;
e204.. x176*x159 + x148 =E= 13;
e205.. x177*x159 + x148 =E= 14;
e206.. x178*x159 + x148 =E= 15;
e207.. x179*x160 + x149 =E= 13;
e208.. x180*x160 + x149 =E= 14;
e209.. x181*x160 + x149 =E= 15;
e210.. x182*x161 + x150 =E= 13;
e211.. x183*x161 + x150 =E= 14;
e212.. x184*x161 + x150 =E= 15;
e213.. x185*x162 + x151 =E= 13;
e214.. x186*x162 + x151 =E= 14;
e215.. x187*x162 + x151 =E= 15;
e216.. x188*x163 + x152 =E= 13;
e217.. x189*x163 + x152 =E= 14;
e218.. x190*x163 + x152 =E= 15;
e219.. x191*x164 + x153 =E= 13;
e220.. x192*x164 + x153 =E= 14;
e221.. x193*x164 + x153 =E= 15;
e222.. x194*x165 + x154 =E= 13;
e223.. x195*x165 + x154 =E= 14;
e224.. x196*x165 + x154 =E= 15;
e225.. x197*x166 + x155 =E= 13;
e226.. x198*x166 + x155 =E= 14;
e227.. x199*x166 + x155 =E= 15;
e228.. -errorf(x167) + x200 =E= 0;
e229.. -errorf(x168) + x201 =E= 0;
e230.. -errorf(x169) + x202 =E= 0;
e231.. -errorf(x170) + x203 =E= 0;
e232.. -errorf(x171) + x204 =E= 0;
e233.. -errorf(x172) + x205 =E= 0;
e234.. -errorf(x173) + x206 =E= 0;
e235.. -errorf(x174) + x207 =E= 0;
e236.. -errorf(x175) + x208 =E= 0;
e237.. -errorf(x176) + x209 =E= 0;
e238.. -errorf(x177) + x210 =E= 0;
e239.. -errorf(x178) + x211 =E= 0;
e240.. -errorf(x179) + x212 =E= 0;
e241.. -errorf(x180) + x213 =E= 0;
e242.. -errorf(x181) + x214 =E= 0;
e243.. -errorf(x182) + x215 =E= 0;
e244.. -errorf(x183) + x216 =E= 0;
e245.. -errorf(x184) + x217 =E= 0;
e246.. -errorf(x185) + x218 =E= 0;
e247.. -errorf(x186) + x219 =E= 0;
e248.. -errorf(x187) + x220 =E= 0;
e249.. -errorf(x188) + x221 =E= 0;
e250.. -errorf(x189) + x222 =E= 0;
e251.. -errorf(x190) + x223 =E= 0;
e252.. -errorf(x191) + x224 =E= 0;
e253.. -errorf(x192) + x225 =E= 0;
e254.. -errorf(x193) + x226 =E= 0;
e255.. -errorf(x194) + x227 =E= 0;
e256.. -errorf(x195) + x228 =E= 0;
e257.. -errorf(x196) + x229 =E= 0;
e258.. -errorf(x197) + x230 =E= 0;
e259.. -errorf(x198) + x231 =E= 0;
e260.. -errorf(x199) + x232 =E= 0;
e261.. x200 + x233 =E= 1;
e262.. x201 + x234 =E= 1;
e263.. x202 + x235 =E= 1;
e264.. x203 + x236 =E= 1;
e265.. x204 + x237 =E= 1;
e266.. x205 + x238 =E= 1;
e267.. x206 + x239 =E= 1;
e268.. x207 + x240 =E= 1;
e269.. x208 + x241 =E= 1;
e270.. x209 + x242 =E= 1;
e271.. x210 + x243 =E= 1;
e272.. x211 + x244 =E= 1;
e273.. x212 + x245 =E= 1;
e274.. x213 + x246 =E= 1;
e275.. x214 + x247 =E= 1;
e276.. x215 + x248 =E= 1;
e277.. x216 + x249 =E= 1;
e278.. x217 + x250 =E= 1;
e279.. x218 + x251 =E= 1;
e280.. x219 + x252 =E= 1;
e281.. x220 + x253 =E= 1;
e282.. x221 + x254 =E= 1;
e283.. x222 + x255 =E= 1;
e284.. x223 + x256 =E= 1;
e285.. x224 + x257 =E= 1;
e286.. x225 + x258 =E= 1;
e287.. x226 + x259 =E= 1;
e288.. x227 + x260 =E= 1;
e289.. x228 + x261 =E= 1;
e290.. x229 + x262 =E= 1;
e291.. x230 + x263 =E= 1;
e292.. x231 + x264 =E= 1;
e293.. x232 + x265 =E= 1;
e294.. x266*x200 + 0.398942280401432*exp(-0.5*sqr(x167)) =E= 0;
e295.. x267*x201 + 0.398942280401432*exp(-0.5*sqr(x168)) =E= 0;
e296.. x268*x202 + 0.398942280401432*exp(-0.5*sqr(x169)) =E= 0;
e297.. x269*x203 + 0.398942280401432*exp(-0.5*sqr(x170)) =E= 0;
e298.. x270*x204 + 0.398942280401432*exp(-0.5*sqr(x171)) =E= 0;
e299.. x271*x205 + 0.398942280401432*exp(-0.5*sqr(x172)) =E= 0;
e300.. x272*x206 + 0.398942280401432*exp(-0.5*sqr(x173)) =E= 0;
e301.. x273*x207 + 0.398942280401432*exp(-0.5*sqr(x174)) =E= 0;
e302.. x274*x208 + 0.398942280401432*exp(-0.5*sqr(x175)) =E= 0;
e303.. x275*x209 + 0.398942280401432*exp(-0.5*sqr(x176)) =E= 0;
e304.. x276*x210 + 0.398942280401432*exp(-0.5*sqr(x177)) =E= 0;
e305.. x277*x211 + 0.398942280401432*exp(-0.5*sqr(x178)) =E= 0;
e306.. x278*x212 + 0.398942280401432*exp(-0.5*sqr(x179)) =E= 0;
e307.. x279*x213 + 0.398942280401432*exp(-0.5*sqr(x180)) =E= 0;
e308.. x280*x214 + 0.398942280401432*exp(-0.5*sqr(x181)) =E= 0;
e309.. x281*x215 + 0.398942280401432*exp(-0.5*sqr(x182)) =E= 0;
e310.. x282*x216 + 0.398942280401432*exp(-0.5*sqr(x183)) =E= 0;
e311.. x283*x217 + 0.398942280401432*exp(-0.5*sqr(x184)) =E= 0;
e312.. x284*x218 + 0.398942280401432*exp(-0.5*sqr(x185)) =E= 0;
e313.. x285*x219 + 0.398942280401432*exp(-0.5*sqr(x186)) =E= 0;
e314.. x286*x220 + 0.398942280401432*exp(-0.5*sqr(x187)) =E= 0;
e315.. x287*x221 + 0.398942280401432*exp(-0.5*sqr(x188)) =E= 0;
e316.. x288*x222 + 0.398942280401432*exp(-0.5*sqr(x189)) =E= 0;
e317.. x289*x223 + 0.398942280401432*exp(-0.5*sqr(x190)) =E= 0;
e318.. x290*x224 + 0.398942280401432*exp(-0.5*sqr(x191)) =E= 0;
e319.. x291*x225 + 0.398942280401432*exp(-0.5*sqr(x192)) =E= 0;
e320.. x292*x226 + 0.398942280401432*exp(-0.5*sqr(x193)) =E= 0;
e321.. x293*x227 + 0.398942280401432*exp(-0.5*sqr(x194)) =E= 0;
e322.. x294*x228 + 0.398942280401432*exp(-0.5*sqr(x195)) =E= 0;
e323.. x295*x229 + 0.398942280401432*exp(-0.5*sqr(x196)) =E= 0;
e324.. x296*x230 + 0.398942280401432*exp(-0.5*sqr(x197)) =E= 0;
e325.. x297*x231 + 0.398942280401432*exp(-0.5*sqr(x198)) =E= 0;
e326.. x298*x232 + 0.398942280401432*exp(-0.5*sqr(x199)) =E= 0;
e327.. x299*x233 - 0.398942280401432*exp(-0.5*sqr(x167)) =E= 0;
e328.. x300*x234 - 0.398942280401432*exp(-0.5*sqr(x168)) =E= 0;
e329.. x301*x235 - 0.398942280401432*exp(-0.5*sqr(x169)) =E= 0;
e330.. x302*x236 - 0.398942280401432*exp(-0.5*sqr(x170)) =E= 0;
e331.. x303*x237 - 0.398942280401432*exp(-0.5*sqr(x171)) =E= 0;
e332.. x304*x238 - 0.398942280401432*exp(-0.5*sqr(x172)) =E= 0;
e333.. x305*x239 - 0.398942280401432*exp(-0.5*sqr(x173)) =E= 0;
e334.. x306*x240 - 0.398942280401432*exp(-0.5*sqr(x174)) =E= 0;
e335.. x307*x241 - 0.398942280401432*exp(-0.5*sqr(x175)) =E= 0;
e336.. x308*x242 - 0.398942280401432*exp(-0.5*sqr(x176)) =E= 0;
e337.. x309*x243 - 0.398942280401432*exp(-0.5*sqr(x177)) =E= 0;
e338.. x310*x244 - 0.398942280401432*exp(-0.5*sqr(x178)) =E= 0;
e339.. x311*x245 - 0.398942280401432*exp(-0.5*sqr(x179)) =E= 0;
e340.. x312*x246 - 0.398942280401432*exp(-0.5*sqr(x180)) =E= 0;
e341.. x313*x247 - 0.398942280401432*exp(-0.5*sqr(x181)) =E= 0;
e342.. x314*x248 - 0.398942280401432*exp(-0.5*sqr(x182)) =E= 0;
e343.. x315*x249 - 0.398942280401432*exp(-0.5*sqr(x183)) =E= 0;
e344.. x316*x250 - 0.398942280401432*exp(-0.5*sqr(x184)) =E= 0;
e345.. x317*x251 - 0.398942280401432*exp(-0.5*sqr(x185)) =E= 0;
e346.. x318*x252 - 0.398942280401432*exp(-0.5*sqr(x186)) =E= 0;
e347.. x319*x253 - 0.398942280401432*exp(-0.5*sqr(x187)) =E= 0;
e348.. x320*x254 - 0.398942280401432*exp(-0.5*sqr(x188)) =E= 0;
e349.. x321*x255 - 0.398942280401432*exp(-0.5*sqr(x189)) =E= 0;
e350.. x322*x256 - 0.398942280401432*exp(-0.5*sqr(x190)) =E= 0;
e351.. x323*x257 - 0.398942280401432*exp(-0.5*sqr(x191)) =E= 0;
e352.. x324*x258 - 0.398942280401432*exp(-0.5*sqr(x192)) =E= 0;
e353.. x325*x259 - 0.398942280401432*exp(-0.5*sqr(x193)) =E= 0;
e354.. x326*x260 - 0.398942280401432*exp(-0.5*sqr(x194)) =E= 0;
e355.. x327*x261 - 0.398942280401432*exp(-0.5*sqr(x195)) =E= 0;
e356.. x328*x262 - 0.398942280401432*exp(-0.5*sqr(x196)) =E= 0;
e357.. x329*x263 - 0.398942280401432*exp(-0.5*sqr(x197)) =E= 0;
e358.. x330*x264 - 0.398942280401432*exp(-0.5*sqr(x198)) =E= 0;
e359.. x331*x265 - 0.398942280401432*exp(-0.5*sqr(x199)) =E= 0;
e360.. -((4 - 0.2*x201 + 0.3*x235)*x133 + (4 - 0.2*x204 + 0.3*x238)*x134 + (4
- 0.2*x207 + 0.3*x241)*x135 + (4 - 0.2*x210 + 0.3*x244)*x136 + (4 - 0.2
*x213 + 0.3*x247)*x137 + (4 - 0.2*x216 + 0.3*x250)*x138 + (4 - 0.2*x219
+ 0.3*x253)*x139 + (4 - 0.2*x222 + 0.3*x256)*x140 + (4 - 0.2*x225 + 0.3
*x259)*x141 + (4 - 0.2*x228 + 0.3*x262)*x142 + (4 - 0.2*x231 + 0.3*x265)
*x143) + 0.01*b67 + 0.01*b68 + 0.01*b69 + 0.01*b70 + 0.01*b71 + 0.01*b72
+ 0.01*b73 + 0.01*b74 + 0.01*b75 + 0.01*b76 + 0.01*b77 + 0.01*b78
+ 0.01*b79 + 0.01*b80 + 0.01*b81 + 0.01*b82 + 0.01*b83 + 0.01*b84
+ 0.01*b85 + 0.01*b86 + 0.01*b87 + 0.01*b88 + 0.01*b89 + 0.01*b90
+ 0.01*b91 + 0.01*b92 + 0.01*b93 + 0.01*b94 + 0.01*b95 + 0.01*b96
+ 0.01*b97 + 0.01*b98 + 0.01*b99 + 0.01*b100 + 0.01*b101 + 0.01*b102
+ 0.01*b103 + 0.01*b104 + 0.01*b105 + 0.01*b106 + 0.01*b107 + 0.01*b108
+ 0.01*b109 + 0.01*b110 + 0.01*b111 + 0.01*b112 + 0.01*b113 + 0.01*b114
+ 0.01*b115 + 0.01*b116 + 0.01*b117 + 0.01*b118 + 0.01*b119 + 0.01*b120
+ 0.01*b121 + 0.01*b122 + 0.01*b123 + 0.01*b124 + 0.01*b125 + 0.01*b126
+ 0.01*b127 + 0.01*b128 + 0.01*b129 + 0.01*b130 + 0.01*b131 + 0.01*b132
- objvar =E= 0;
* set non-default bounds
x200.up = 1;
x201.up = 1;
x202.up = 1;
x203.up = 1;
x204.up = 1;
x205.up = 1;
x206.up = 1;
x207.up = 1;
x208.up = 1;
x209.up = 1;
x210.up = 1;
x211.up = 1;
x212.up = 1;
x213.up = 1;
x214.up = 1;
x215.up = 1;
x216.up = 1;
x217.up = 1;
x218.up = 1;
x219.up = 1;
x220.up = 1;
x221.up = 1;
x222.up = 1;
x223.up = 1;
x224.up = 1;
x225.up = 1;
x226.up = 1;
x227.up = 1;
x228.up = 1;
x229.up = 1;
x230.up = 1;
x231.up = 1;
x232.up = 1;
x233.up = 1;
x234.up = 1;
x235.up = 1;
x236.up = 1;
x237.up = 1;
x238.up = 1;
x239.up = 1;
x240.up = 1;
x241.up = 1;
x242.up = 1;
x243.up = 1;
x244.up = 1;
x245.up = 1;
x246.up = 1;
x247.up = 1;
x248.up = 1;
x249.up = 1;
x250.up = 1;
x251.up = 1;
x252.up = 1;
x253.up = 1;
x254.up = 1;
x255.up = 1;
x256.up = 1;
x257.up = 1;
x258.up = 1;
x259.up = 1;
x260.up = 1;
x261.up = 1;
x262.up = 1;
x263.up = 1;
x264.up = 1;
x265.up = 1;
* set non-default levels
x1.l = 10;
x2.l = 10;
x3.l = 10;
x4.l = 10;
x5.l = 10;
x6.l = 10;
x7.l = 10;
x8.l = 10;
x9.l = 10;
x10.l = 10;
x11.l = 10;
x12.l = 10;
x13.l = 10;
x14.l = 10;
x15.l = 10;
x16.l = 10;
x17.l = 10;
x18.l = 10;
x19.l = 10;
x20.l = 10;
x21.l = 10;
x22.l = 10;
x23.l = 10;
x24.l = 10;
x25.l = 10;
x26.l = 10;
x27.l = 10;
x28.l = 10;
x29.l = 10;
x30.l = 10;
x31.l = 10;
x32.l = 10;
x33.l = 10;
x34.l = 10;
x35.l = 10;
x36.l = 10;
x37.l = 10;
x38.l = 10;
x39.l = 10;
x40.l = 10;
x41.l = 10;
x42.l = 10;
x43.l = 10;
x44.l = 10;
x45.l = 10;
x46.l = 10;
x47.l = 10;
x48.l = 10;
x49.l = 10;
x50.l = 10;
x51.l = 10;
x52.l = 10;
x53.l = 10;
x54.l = 10;
x55.l = 10;
x56.l = 10;
x57.l = 10;
x58.l = 10;
x59.l = 10;
x60.l = 10;
x61.l = 10;
x62.l = 10;
x63.l = 10;
x64.l = 10;
x65.l = 10;
x66.l = 10;
x133.l = 100;
x134.l = 100;
x135.l = 100;
x136.l = 100;
x137.l = 100;
x138.l = 100;
x139.l = 100;
x140.l = 100;
x141.l = 100;
x142.l = 100;
x143.l = 100;
x145.l = 14;
x146.l = 14;
x147.l = 14;
x148.l = 14;
x149.l = 14;
x150.l = 14;
x151.l = 14;
x152.l = 14;
x153.l = 14;
x154.l = 14;
x155.l = 14;
x156.l = 1;
x157.l = 1;
x158.l = 1;
x159.l = 1;
x160.l = 1;
x161.l = 1;
x162.l = 1;
x163.l = 1;
x164.l = 1;
x165.l = 1;
x166.l = 1;
x200.l = 0.5;
x201.l = 0.5;
x202.l = 0.5;
x203.l = 0.5;
x204.l = 0.5;
x205.l = 0.5;
x206.l = 0.5;
x207.l = 0.5;
x208.l = 0.5;
x209.l = 0.5;
x210.l = 0.5;
x211.l = 0.5;
x212.l = 0.5;
x213.l = 0.5;
x214.l = 0.5;
x215.l = 0.5;
x216.l = 0.5;
x217.l = 0.5;
x218.l = 0.5;
x219.l = 0.5;
x220.l = 0.5;
x221.l = 0.5;
x222.l = 0.5;
x223.l = 0.5;
x224.l = 0.5;
x225.l = 0.5;
x226.l = 0.5;
x227.l = 0.5;
x228.l = 0.5;
x229.l = 0.5;
x230.l = 0.5;
x231.l = 0.5;
x232.l = 0.5;
x233.l = 0.5;
x234.l = 0.5;
x235.l = 0.5;
x236.l = 0.5;
x237.l = 0.5;
x238.l = 0.5;
x239.l = 0.5;
x240.l = 0.5;
x241.l = 0.5;
x242.l = 0.5;
x243.l = 0.5;
x244.l = 0.5;
x245.l = 0.5;
x246.l = 0.5;
x247.l = 0.5;
x248.l = 0.5;
x249.l = 0.5;
x250.l = 0.5;
x251.l = 0.5;
x252.l = 0.5;
x253.l = 0.5;
x254.l = 0.5;
x255.l = 0.5;
x256.l = 0.5;
x257.l = 0.5;
x258.l = 0.5;
x259.l = 0.5;
x260.l = 0.5;
x261.l = 0.5;
x262.l = 0.5;
x263.l = 0.5;
x264.l = 0.5;
x265.l = 0.5;
x266.l = -1.5;
x267.l = -1.5;
x268.l = -1.5;
x269.l = -1.5;
x270.l = -1.5;
x271.l = -1.5;
x272.l = -1.5;
x273.l = -1.5;
x274.l = -1.5;
x275.l = -1.5;
x276.l = -1.5;
x277.l = -1.5;
x278.l = -1.5;
x279.l = -1.5;
x280.l = -1.5;
x281.l = -1.5;
x282.l = -1.5;
x283.l = -1.5;
x284.l = -1.5;
x285.l = -1.5;
x286.l = -1.5;
x287.l = -1.5;
x288.l = -1.5;
x289.l = -1.5;
x290.l = -1.5;
x291.l = -1.5;
x292.l = -1.5;
x293.l = -1.5;
x294.l = -1.5;
x295.l = -1.5;
x296.l = -1.5;
x297.l = -1.5;
x298.l = -1.5;
x299.l = 1.5;
x300.l = 1.5;
x301.l = 1.5;
x302.l = 1.5;
x303.l = 1.5;
x304.l = 1.5;
x305.l = 1.5;
x306.l = 1.5;
x307.l = 1.5;
x308.l = 1.5;
x309.l = 1.5;
x310.l = 1.5;
x311.l = 1.5;
x312.l = 1.5;
x313.l = 1.5;
x314.l = 1.5;
x315.l = 1.5;
x316.l = 1.5;
x317.l = 1.5;
x318.l = 1.5;
x319.l = 1.5;
x320.l = 1.5;
x321.l = 1.5;
x322.l = 1.5;
x323.l = 1.5;
x324.l = 1.5;
x325.l = 1.5;
x326.l = 1.5;
x327.l = 1.5;
x328.l = 1.5;
x329.l = 1.5;
x330.l = 1.5;
x331.l = 1.5;
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: 2025-08-07 Git hash: e62cedfc