MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance tltr
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 48.06666667 (ANTIGONE) 48.06666667 (BARON) 48.06666667 (COUENNE) 48.06666667 (GUROBI) 48.06666667 (LINDO) 48.06666667 (SCIP) 48.06666667 (SHOT) |
| Sourceⓘ | GAMS Client |
| Applicationⓘ | Trim loss minimization problem |
| Added to libraryⓘ | 01 May 2001 |
| Problem typeⓘ | MIQCP |
| #Variablesⓘ | 48 |
| #Binary Variablesⓘ | 12 |
| #Integer Variablesⓘ | 36 |
| #Nonlinear Variablesⓘ | 36 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 36 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 11 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 54 |
| #Linear Constraintsⓘ | 51 |
| #Quadratic Constraintsⓘ | 3 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 216 |
| #Nonlinear Nonzeros in Jacobianⓘ | 54 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 54 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 0 |
| #Blocks in Hessian of Lagrangianⓘ | 9 |
| 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ⓘ | 1.0000e+00 |
| Maximal coefficientⓘ | 1.2700e+03 |
| Infeasibility of initial pointⓘ | 560 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 55 1 3 51 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 49 1 12 36 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 228 174 54 0
*
* Solve m using MINLP minimizing objvar;
Variables b1,b2,b3,i4,i5,i6,i7,i8,i9,i10,i11,i12,i13,i14,i15,i16,i17,i18,i19
,i20,i21,i22,i23,i24,i25,i26,i27,i28,i29,i30,b31,b32,b33,b34,b35,b36
,b37,b38,b39,i40,i41,i42,i43,i44,i45,i46,i47,i48,objvar;
Binary Variables b1,b2,b3,b31,b32,b33,b34,b35,b36,b37,b38,b39;
Integer Variables i4,i5,i6,i7,i8,i9,i10,i11,i12,i13,i14,i15,i16,i17,i18,i19
,i20,i21,i22,i23,i24,i25,i26,i27,i28,i29,i30,i40,i41,i42,i43,i44,i45
,i46,i47,i48;
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;
e1.. - 35*b2 - 35*b3 - 6.53333333333333*b31 - 6.53333333333333*b32
- 6.7375*b33 - 6.53333333333333*b34 - 6.53333333333333*b35 - 6.7375*b36
- 6.53333333333333*b37 - 6.53333333333333*b38 - 6.7375*b39 + objvar =E= 0
;
e2.. i40*i4 + i43*i7 + i46*i10 + i41*i5 + i44*i8 + i47*i11 + i42*i6 + i45*i9 +
i48*i12 =G= 9;
e3.. i40*i13 + i43*i16 + i46*i19 + i41*i14 + i44*i17 + i47*i20 + i42*i15 + i45*
i18 + i48*i21 =G= 15;
e4.. i40*i22 + i43*i25 + i46*i28 + i41*i23 + i44*i26 + i47*i29 + i42*i24 + i45*
i27 + i48*i30 =G= 80;
e5.. 12*i4 + 24*i13 + 36*i22 - 48*b31 =L= 0;
e6.. 12*i5 + 24*i14 + 36*i23 - 48*b32 =L= 0;
e7.. 12*i6 + 24*i15 + 36*i24 - 62*b33 =L= 0;
e8.. 12*i7 + 24*i16 + 36*i25 - 48*b34 =L= 0;
e9.. 12*i8 + 24*i17 + 36*i26 - 48*b35 =L= 0;
e10.. 12*i9 + 24*i18 + 36*i27 - 62*b36 =L= 0;
e11.. 12*i10 + 24*i19 + 36*i28 - 48*b37 =L= 0;
e12.. 12*i11 + 24*i20 + 36*i29 - 48*b38 =L= 0;
e13.. 12*i12 + 24*i21 + 36*i30 - 62*b39 =L= 0;
e14.. - i4 - i13 - i22 + b31 =L= 0;
e15.. - i5 - i14 - i23 + b32 =L= 0;
e16.. - i6 - i15 - i24 + b33 =L= 0;
e17.. - i7 - i16 - i25 + b34 =L= 0;
e18.. - i8 - i17 - i26 + b35 =L= 0;
e19.. - i9 - i18 - i27 + b36 =L= 0;
e20.. - i10 - i19 - i28 + b37 =L= 0;
e21.. - i11 - i20 - i29 + b38 =L= 0;
e22.. - i12 - i21 - i30 + b39 =L= 0;
e23.. - 72*b31 + i40 =L= 0;
e24.. - 182*b32 + i41 =L= 0;
e25.. - 182*b33 + i42 =L= 0;
e26.. - 72*b34 + i43 =L= 0;
e27.. - 182*b35 + i44 =L= 0;
e28.. - 182*b36 + i45 =L= 0;
e29.. - 72*b37 + i46 =L= 0;
e30.. - 182*b38 + i47 =L= 0;
e31.. - 182*b39 + i48 =L= 0;
e32.. i4 + i13 + i22 - 5*b31 =L= 0;
e33.. i5 + i14 + i23 - 5*b32 =L= 0;
e34.. i6 + i15 + i24 - 5*b33 =L= 0;
e35.. i7 + i16 + i25 - 5*b34 =L= 0;
e36.. i8 + i17 + i26 - 5*b35 =L= 0;
e37.. i9 + i18 + i27 - 5*b36 =L= 0;
e38.. i10 + i19 + i28 - 5*b37 =L= 0;
e39.. i11 + i20 + i29 - 5*b38 =L= 0;
e40.. i12 + i21 + i30 - 5*b39 =L= 0;
e41.. - 500*b1 + 7*i40 + 7*i43 + 7*i46 =L= 0;
e42.. - 1270*b2 + 7*i41 + 7*i44 + 7*i47 =L= 0;
e43.. - 1270*b3 + 7*i42 + 7*i45 + 7*i48 =L= 0;
e44.. - b31 + b34 =L= 0;
e45.. - b32 + b35 =L= 0;
e46.. - b33 + b36 =L= 0;
e47.. - b34 + b37 =L= 0;
e48.. - b35 + b38 =L= 0;
e49.. - b36 + b39 =L= 0;
e50.. - i40 + i43 =L= 0;
e51.. - i41 + i44 =L= 0;
e52.. - i42 + i45 =L= 0;
e53.. - i43 + i46 =L= 0;
e54.. - i44 + i47 =L= 0;
e55.. - i45 + i48 =L= 0;
* set non-default bounds
i4.up = 5;
i5.up = 5;
i6.up = 5;
i7.up = 5;
i8.up = 5;
i9.up = 5;
i10.up = 5;
i11.up = 5;
i12.up = 5;
i13.up = 5;
i14.up = 5;
i15.up = 5;
i16.up = 5;
i17.up = 5;
i18.up = 5;
i19.up = 5;
i20.up = 5;
i21.up = 5;
i22.up = 5;
i23.up = 5;
i24.up = 5;
i25.up = 5;
i26.up = 5;
i27.up = 5;
i28.up = 5;
i29.up = 5;
i30.up = 5;
i40.up = 100;
i41.up = 100;
i42.up = 100;
i43.up = 100;
i44.up = 100;
i45.up = 100;
i46.up = 100;
i47.up = 100;
i48.up = 100;
* set non-default levels
i4.l = 1;
i13.l = 1;
i23.l = 1;
i40.l = 15;
i41.l = 80;
objvar.l = 48.0666666666667;
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