MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Removed Instance weapons
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | -1735.56958000 (ANTIGONE) -1735.56958200 (BARON) -1754.99998600 (COUENNE) -1735.56958000 (LINDO) -1735.56958100 (SCIP) |
| Referencesⓘ | Bracken, Jerome and McCormick, Garth P, Chapter 2. In Bracken, Jerome and McCormick, Garth P, Selected Applications of Nonlinear Programming, John Wiley and Sons, New York, 1968, 22-27. |
| Sourceⓘ | GAMS Model Library model weapons |
| Applicationⓘ | Weapons Assignment |
| Added to libraryⓘ | 31 Jul 2001 |
| Removed from libraryⓘ | 03 Mar 2022 |
| Removed becauseⓘ | Instance is continuous and convex. |
| Problem typeⓘ | NLP |
| #Variablesⓘ | 65 |
| #Binary Variablesⓘ | 0 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 65 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | nonlinear |
| Objective curvatureⓘ | convex |
| #Nonzeros in Objectiveⓘ | 65 |
| #Nonlinear Nonzeros in Objectiveⓘ | 65 |
| #Constraintsⓘ | 12 |
| #Linear Constraintsⓘ | 12 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | cvpower mul |
| Constraints curvatureⓘ | linear |
| #Nonzeros in Jacobianⓘ | 90 |
| #Nonlinear Nonzeros in Jacobianⓘ | 0 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 221 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 65 |
| #Blocks in Hessian of Lagrangianⓘ | 20 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 2 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 4 |
| Average blocksize in Hessian of Lagrangianⓘ | 3.25 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 8.0000e-01 |
| Maximal coefficientⓘ | 2.0000e+02 |
| Infeasibility of initial pointⓘ | 57.5 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 13 1 7 5 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 66 66 0 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 156 91 65 0
*
* Solve m using NLP 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,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;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13;
e1.. x1 + x2 + x3 + x4 + x5 + x6 =L= 200;
e2.. x7 + x8 + x9 + x10 + x11 + x12 + x13 + x14 + x15 + x16 + x17 + x18
+ x19 + x20 + x21 + x22 + x23 + x24 =L= 100;
e3.. x25 + x26 + x27 + x28 + x29 + x30 + x31 + x32 + x33 + x34 + x35 + x36
+ x37 + x38 + x39 + x40 + x41 + x42 + x43 + x44 =L= 300;
e4.. x45 + x46 + x47 + x48 + x49 + x50 + x51 =L= 150;
e5.. x52 + x53 + x54 + x55 + x56 + x57 + x58 + x59 + x60 + x61 + x62 + x63
+ x64 + x65 =L= 250;
e6.. x7 + x25 + x52 =G= 30;
e7.. x2 + x12 + x30 + x57 =G= 100;
e8.. x16 + x34 + x45 + x59 =G= 40;
e9.. x18 + x38 + x49 + x63 =G= 50;
e10.. x19 + x39 + x50 + x64 =G= 70;
e11.. x20 + x40 + x51 + x65 =G= 35;
e12.. x24 + x44 =G= 10;
e13.. -(-60*0.84**x7*0.96**x25*0.92**x52 - 50*0.95**x1*0.83**x8*0.95**x26*0.94
**x53 - 50*0.85**x9*0.96**x27*0.92**x54 - 75*0.84**x10*0.96**x28*0.95**
x55 - 40*0.85**x11*0.96**x29*0.95**x56 - 60*0.85**x2*0.81**x12*0.9**x30*
0.98**x57 - 35*0.9**x3*0.81**x13*0.92**x31*0.98**x58 - 30*0.85**x4*0.82**
x14*0.91**x32 - 25*0.8**x5*0.8**x15*0.92**x33 - 150*0.86**x16*0.95**x34*
0.96**x45*0.9**x59 - 30*0.99**x35*0.91**x46*0.95**x60 - 45*0.98**x17*0.98
**x36*0.92**x47*0.96**x61 - 125*0.99**x37*0.91**x48*0.91**x62 - 200*0.88
**x18*0.98**x38*0.92**x49*0.98**x63 - 200*0.87**x19*0.97**x39*0.98**x50*
0.99**x64 - 130*0.88**x20*0.98**x40*0.93**x51*0.99**x65 - 100*0.85**x21*
0.95**x41 - 100*0.95**x6*0.84**x22*0.92**x42 - 100*0.85**x23*0.93**x43 -
150*0.85**x24*0.92**x44) - objvar =E= 1755;
* set non-default levels
x1.l = 10;
x2.l = 10;
x3.l = 10;
x4.l = 10;
x5.l = 10;
x6.l = 10;
x7.l = 5;
x8.l = 5;
x9.l = 5;
x10.l = 5;
x11.l = 5;
x12.l = 5;
x13.l = 5;
x14.l = 5;
x15.l = 5;
x16.l = 5;
x17.l = 5;
x18.l = 5;
x19.l = 5;
x20.l = 5;
x21.l = 5;
x22.l = 5;
x23.l = 5;
x24.l = 5;
x25.l = 15;
x26.l = 15;
x27.l = 15;
x28.l = 15;
x29.l = 15;
x30.l = 15;
x31.l = 15;
x32.l = 15;
x33.l = 15;
x34.l = 15;
x35.l = 15;
x36.l = 15;
x37.l = 15;
x38.l = 15;
x39.l = 15;
x40.l = 15;
x41.l = 15;
x42.l = 15;
x43.l = 15;
x44.l = 15;
x45.l = 7.5;
x46.l = 7.5;
x47.l = 7.5;
x48.l = 7.5;
x49.l = 7.5;
x50.l = 7.5;
x51.l = 7.5;
x52.l = 12.5;
x53.l = 12.5;
x54.l = 12.5;
x55.l = 12.5;
x56.l = 12.5;
x57.l = 12.5;
x58.l = 12.5;
x59.l = 12.5;
x60.l = 12.5;
x61.l = 12.5;
x62.l = 12.5;
x63.l = 12.5;
x64.l = 12.5;
x65.l = 12.5;
Model m / all /;
m.limrow=0; m.limcol=0;
m.tolproj=0.0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
$if not set NLP $set NLP NLP
Solve m using %NLP% minimizing objvar;
Last updated: 2025-08-07 Git hash: e62cedfc