MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance eniplac
| Formatsⓘ | ams gms mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | -132400.45170000 (ANTIGONE) -132117.08300000 (BARON) -132117.00000000 (COUENNE) -132117.00000000 (LINDO) -132117.00000000 (SCIP) -245835.00000000 (SHOT) |
| Sourceⓘ | GAMS Client |
| Applicationⓘ | Unit Commitment |
| Added to libraryⓘ | 08 Aug 2001 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 141 |
| #Binary Variablesⓘ | 24 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 48 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 3 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 189 |
| #Linear Constraintsⓘ | 165 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 24 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 507 |
| #Nonlinear Nonzeros in Jacobianⓘ | 48 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 72 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 24 |
| #Blocks in Hessian of Lagrangianⓘ | 24 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 2 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 2 |
| Average blocksize in Hessian of Lagrangianⓘ | 2.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.0000e-04 |
| Maximal coefficientⓘ | 6.5732e+02 |
| Infeasibility of initial pointⓘ | 2.31e+05 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 190 88 30 72 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 142 118 24 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 511 463 48 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,objvar,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128,b129
,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141,b142;
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,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,x99,x100,x101,x102,x103,x104,x105,x106,x107,x108
,x109,x110,x111,x112,x114,x115,x116,x117;
Binary Variables b119,b120,b121,b122,b123,b124,b125,b126,b127,b128,b129,b130
,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141,b142;
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;
e1.. - 3.3*x73 - 3.2*x74 - 3.1*x75 - 3.25*x76 - 3.3*x77 - 3.2*x78 - 3.1*x79
- 3.25*x80 - 3.3*x81 - 3.2*x82 - 3.1*x83 - 3.25*x84 - 3.3*x85 - 3.2*x86
- 3.1*x87 - 3.25*x88 - 3.3*x89 - 3.2*x90 - 3.1*x91 - 3.25*x92 - 3.3*x93
- 3.2*x94 - 3.1*x95 - 3.25*x96 + x113 =E= 0;
e2.. - 33*x105 - 33*x106 - 33*x107 - 33*x108 - 33*x109 - 33*x110 + x112 =E= 0;
e3.. x25 - b119 =E= 0;
e4.. x26 - b120 =E= 0;
e5.. x27 - b121 =E= 0;
e6.. x28 - b122 =E= 0;
e7.. x29 - b123 =E= 0;
e8.. x30 - b124 =E= 0;
e9.. x31 - b125 =E= 0;
e10.. x32 - b126 =E= 0;
e11.. x33 - b127 =E= 0;
e12.. x34 - b128 =E= 0;
e13.. x35 - b129 =E= 0;
e14.. x36 - b130 =E= 0;
e15.. x37 - b131 =E= 0;
e16.. x38 - b132 =E= 0;
e17.. x39 - b133 =E= 0;
e18.. x40 - b134 =E= 0;
e19.. x41 - b135 =E= 0;
e20.. x42 - b136 =E= 0;
e21.. x43 - b137 =E= 0;
e22.. x44 - b138 =E= 0;
e23.. x45 - b139 =E= 0;
e24.. x46 - b140 =E= 0;
e25.. x47 - b141 =E= 0;
e26.. x48 - b142 =E= 0;
e27.. x1 + x2 + x3 + x4 - x99 + x105 =E= 1170;
e28.. x5 + x6 + x7 + x8 - x100 + x106 =E= 950;
e29.. x9 + x10 + x11 + x12 - x101 + x107 =E= 950;
e30.. x13 + x14 + x15 + x16 - x102 + x108 =E= 700;
e31.. x17 + x18 + x19 + x20 - x103 + x109 =E= 600;
e32.. x21 + x22 + x23 + x24 - x104 + x110 =E= 250;
e33.. -(601.56 + 0.0131*sqr(x1) + 1.0622*x1)*x25 + x73 =E= 0;
e34.. -(-92.8095 + 10.04286*x2 - 0.01048*sqr(x2))*x26 + x74 =E= 0;
e35.. -(657.32 + 0.018317*sqr(x3))*x27 + x75 =E= 0;
e36.. -(222.2 + 0.0001*sqr(x4) + 6.2749*x4)*x28 + x76 =E= 0;
e37.. -(601.56 + 0.0131*sqr(x5) + 1.0622*x5)*x29 + x77 =E= 0;
e38.. -(-92.8095 + 10.04286*x6 - 0.01048*sqr(x6))*x30 + x78 =E= 0;
e39.. -(657.32 + 0.018317*sqr(x7))*x31 + x79 =E= 0;
e40.. -(222.2 + 0.0001*sqr(x8) + 6.2749*x8)*x32 + x80 =E= 0;
e41.. -(601.56 + 0.0131*sqr(x9) + 1.0622*x9)*x33 + x81 =E= 0;
e42.. -(-92.8095 + 10.04286*x10 - 0.01048*sqr(x10))*x34 + x82 =E= 0;
e43.. -(657.32 + 0.018317*sqr(x11))*x35 + x83 =E= 0;
e44.. -(222.2 + 0.0001*sqr(x12) + 6.2749*x12)*x36 + x84 =E= 0;
e45.. -(601.56 + 0.0131*sqr(x13) + 1.0622*x13)*x37 + x85 =E= 0;
e46.. -(-92.8095 + 10.04286*x14 - 0.01048*sqr(x14))*x38 + x86 =E= 0;
e47.. -(657.32 + 0.018317*sqr(x15))*x39 + x87 =E= 0;
e48.. -(222.2 + 0.0001*sqr(x16) + 6.2749*x16)*x40 + x88 =E= 0;
e49.. -(601.56 + 0.0131*sqr(x17) + 1.0622*x17)*x41 + x89 =E= 0;
e50.. -(-92.8095 + 10.04286*x18 - 0.01048*sqr(x18))*x42 + x90 =E= 0;
e51.. -(657.32 + 0.018317*sqr(x19))*x43 + x91 =E= 0;
e52.. -(222.2 + 0.0001*sqr(x20) + 6.2749*x20)*x44 + x92 =E= 0;
e53.. -(601.56 + 0.0131*sqr(x21) + 1.0622*x21)*x45 + x93 =E= 0;
e54.. -(-92.8095 + 10.04286*x22 - 0.01048*sqr(x22))*x46 + x94 =E= 0;
e55.. -(657.32 + 0.018317*sqr(x23))*x47 + x95 =E= 0;
e56.. -(222.2 + 0.0001*sqr(x24) + 6.2749*x24)*x48 + x96 =E= 0;
e57.. - x73 - x77 - x81 - x85 - x89 - x93 + x114 =E= 0;
e58.. - x74 - x78 - x82 - x86 - x90 - x94 + x115 =E= 0;
e59.. - x75 - x79 - x83 - x87 - x91 - x95 + x116 =E= 0;
e60.. - x76 - x80 - x84 - x88 - x92 - x96 + x117 =E= 0;
e61.. x98 =E= 231000;
e62.. - 30*x99 - 30*x100 - 30*x101 - 30*x102 - 30*x103 - 30*x104 + x111 =E= 0;
e63.. x97 - x98 - x111 =E= 0;
e64.. - x1 + x5 =L= 500;
e65.. - x2 + x6 =L= 500;
e66.. - x3 + x7 =L= 500;
e67.. - x4 + x8 =L= 500;
e68.. - x5 + x9 =L= 500;
e69.. - x6 + x10 =L= 500;
e70.. - x7 + x11 =L= 500;
e71.. - x8 + x12 =L= 500;
e72.. - x9 + x13 =L= 500;
e73.. - x10 + x14 =L= 500;
e74.. - x11 + x15 =L= 500;
e75.. - x12 + x16 =L= 500;
e76.. - x13 + x17 =L= 500;
e77.. - x14 + x18 =L= 500;
e78.. - x15 + x19 =L= 500;
e79.. - x16 + x20 =L= 500;
e80.. - x17 + x21 =L= 500;
e81.. - x18 + x22 =L= 500;
e82.. - x19 + x23 =L= 500;
e83.. - x20 + x24 =L= 500;
e84.. x1 - x5 =L= 500;
e85.. x2 - x6 =L= 500;
e86.. x3 - x7 =L= 500;
e87.. x4 - x8 =L= 500;
e88.. x5 - x9 =L= 500;
e89.. x6 - x10 =L= 500;
e90.. x7 - x11 =L= 500;
e91.. x8 - x12 =L= 500;
e92.. x9 - x13 =L= 500;
e93.. x10 - x14 =L= 500;
e94.. x11 - x15 =L= 500;
e95.. x12 - x16 =L= 500;
e96.. x13 - x17 =L= 500;
e97.. x14 - x18 =L= 500;
e98.. x15 - x19 =L= 500;
e99.. x16 - x20 =L= 500;
e100.. x17 - x21 =L= 500;
e101.. x18 - x22 =L= 500;
e102.. x19 - x23 =L= 500;
e103.. x20 - x24 =L= 500;
e104.. x1 =L= 800;
e105.. x2 =L= 650;
e106.. x3 =L= 660;
e107.. x4 =L= 750;
e108.. - x1 =L= 200;
e109.. - x2 =L= 350;
e110.. - x3 =L= 340;
e111.. - x4 =L= 250;
e112.. x1 + x49 - 250*b119 =E= 0;
e113.. x2 + x50 - 170*b120 =E= 0;
e114.. x3 + x51 - 260*b121 =E= 0;
e115.. x4 + x52 - 510*b122 =E= 0;
e116.. x5 + x53 - 250*b123 =E= 0;
e117.. x6 + x54 - 170*b124 =E= 0;
e118.. x7 + x55 - 260*b125 =E= 0;
e119.. x8 + x56 - 510*b126 =E= 0;
e120.. x9 + x57 - 250*b127 =E= 0;
e121.. x10 + x58 - 170*b128 =E= 0;
e122.. x11 + x59 - 260*b129 =E= 0;
e123.. x12 + x60 - 510*b130 =E= 0;
e124.. x13 + x61 - 250*b131 =E= 0;
e125.. x14 + x62 - 170*b132 =E= 0;
e126.. x15 + x63 - 260*b133 =E= 0;
e127.. x16 + x64 - 510*b134 =E= 0;
e128.. x17 + x65 - 250*b135 =E= 0;
e129.. x18 + x66 - 170*b136 =E= 0;
e130.. x19 + x67 - 260*b137 =E= 0;
e131.. x20 + x68 - 510*b138 =E= 0;
e132.. x21 + x69 - 250*b139 =E= 0;
e133.. x22 + x70 - 170*b140 =E= 0;
e134.. x23 + x71 - 260*b141 =E= 0;
e135.. x24 + x72 - 510*b142 =E= 0;
e136.. x49 + x50 + x51 + x52 =G= 25;
e137.. x53 + x54 + x55 + x56 =G= 25;
e138.. x57 + x58 + x59 + x60 =G= 25;
e139.. x61 + x62 + x63 + x64 =G= 25;
e140.. x65 + x66 + x67 + x68 =G= 25;
e141.. x69 + x70 + x71 + x72 =G= 25;
e142.. x1 - 250*b119 =L= 0;
e143.. x2 - 170*b120 =L= 0;
e144.. x3 - 260*b121 =L= 0;
e145.. x4 - 510*b122 =L= 0;
e146.. x5 - 250*b123 =L= 0;
e147.. x6 - 170*b124 =L= 0;
e148.. x7 - 260*b125 =L= 0;
e149.. x8 - 510*b126 =L= 0;
e150.. x9 - 250*b127 =L= 0;
e151.. x10 - 170*b128 =L= 0;
e152.. x11 - 260*b129 =L= 0;
e153.. x12 - 510*b130 =L= 0;
e154.. x13 - 250*b131 =L= 0;
e155.. x14 - 170*b132 =L= 0;
e156.. x15 - 260*b133 =L= 0;
e157.. x16 - 510*b134 =L= 0;
e158.. x17 - 250*b135 =L= 0;
e159.. x18 - 170*b136 =L= 0;
e160.. x19 - 260*b137 =L= 0;
e161.. x20 - 510*b138 =L= 0;
e162.. x21 - 250*b139 =L= 0;
e163.. x22 - 170*b140 =L= 0;
e164.. x23 - 260*b141 =L= 0;
e165.. x24 - 510*b142 =L= 0;
e166.. x1 - 140*b119 =G= 0;
e167.. x2 - 140*b120 =G= 0;
e168.. x3 - 140*b121 =G= 0;
e169.. x4 - 160*b122 =G= 0;
e170.. x5 - 140*b123 =G= 0;
e171.. x6 - 140*b124 =G= 0;
e172.. x7 - 140*b125 =G= 0;
e173.. x8 - 160*b126 =G= 0;
e174.. x9 - 140*b127 =G= 0;
e175.. x10 - 140*b128 =G= 0;
e176.. x11 - 140*b129 =G= 0;
e177.. x12 - 160*b130 =G= 0;
e178.. x13 - 140*b131 =G= 0;
e179.. x14 - 140*b132 =G= 0;
e180.. x15 - 140*b133 =G= 0;
e181.. x16 - 160*b134 =G= 0;
e182.. x17 - 140*b135 =G= 0;
e183.. x18 - 140*b136 =G= 0;
e184.. x19 - 140*b137 =G= 0;
e185.. x20 - 160*b138 =G= 0;
e186.. x21 - 140*b139 =G= 0;
e187.. x22 - 140*b140 =G= 0;
e188.. x23 - 140*b141 =G= 0;
e189.. x24 - 160*b142 =G= 0;
e190.. - x97 + x112 + x113 - objvar =E= 0;
* set non-default bounds
x99.up = 500;
x100.up = 100;
x101.up = 100;
x102.up = 100;
x103.up = 100;
x104.up = 100;
x105.up = 500;
x106.up = 500;
x107.up = 500;
x108.up = 500;
x109.up = 500;
x110.up = 500;
* set non-default levels
x1.l = 250;
x2.l = 170;
x3.l = 260;
x4.l = 510;
x5.l = 250;
x6.l = 170;
x7.l = 260;
x8.l = 510;
x9.l = 250;
x10.l = 170;
x11.l = 260;
x12.l = 510;
x13.l = 250;
x14.l = 170;
x15.l = 260;
x16.l = 510;
x17.l = 250;
x18.l = 170;
x19.l = 260;
x20.l = 510;
x21.l = 250;
x22.l = 170;
x23.l = 260;
x24.l = 510;
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