MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Removed Instance srcpm
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 2109.78183300 (ANTIGONE) 2109.78183100 (BARON) 2109.65258100 (COUENNE) 2109.78183300 (LINDO) 2109.78183300 (SCIP) |
| Referencesⓘ | Manne, Alan S, Nelson, C R, So, K C, and Weyant, J P, CPM: A Contingency Planning Model of the International Oil Market, International Energy Program Report, Tech. Rep., Stanford University, 1982. |
| Sourceⓘ | GAMS Model Library model srcpm |
| Applicationⓘ | Contingency Planning |
| Added to libraryⓘ | 31 Jul 2001 |
| Removed from libraryⓘ | 16 Feb 2022 |
| Removed becauseⓘ | Instance is continuous and convex. |
| Problem typeⓘ | NLP |
| #Variablesⓘ | 39 |
| #Binary Variablesⓘ | 0 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 5 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | signomial |
| Objective curvatureⓘ | convex |
| #Nonzeros in Objectiveⓘ | 6 |
| #Nonlinear Nonzeros in Objectiveⓘ | 5 |
| #Constraintsⓘ | 27 |
| #Linear Constraintsⓘ | 27 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | linear |
| #Nonzeros in Jacobianⓘ | 156 |
| #Nonlinear Nonzeros in Jacobianⓘ | 0 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 5 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 5 |
| #Blocks in Hessian of Lagrangianⓘ | 5 |
| 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 |
| Minimal coefficientⓘ | 2.0000e-02 |
| Maximal coefficientⓘ | 5.1300e+06 |
| Infeasibility of initial pointⓘ | 2.274e-13 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 28 2 14 12 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 40 40 0 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 163 158 5 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,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;
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;
e1.. - x3 - x4 + x23 =G= 0;
e2.. - x5 - x6 + x24 =G= 0;
e3.. - x7 - x8 + x25 =G= 0;
e4.. - x9 - x10 + x26 =G= -0.7;
e5.. - x11 - x12 + x27 =G= 0;
e6.. - x13 - x14 + x28 =G= 0;
e7.. - x1 - x2 + x29 =G= 0;
e8.. 0.35*x3 + 0.34*x4 + 0.5*x5 + 0.49*x6 + 0.68*x7 + 0.67*x8 - x17 - x18
+ 0.99*x21 + 0.99*x22 - x32 =G= 0;
e9.. 0.38*x9 + 0.38*x10 + 0.48*x11 + 0.47*x12 + 0.66*x13 + 0.65*x14 - x19
- x20 - x21 - x22 - x33 =G= 0;
e10.. 0.2*x1 + 0.2*x2 + 0.96*x15 + 0.96*x16 + 0.67*x17 + 0.36*x18 + 0.61*x19
+ 0.25*x20 - x30 - x34 =G= 0;
e11.. 0.28*x3 + 0.28*x4 + 0.25*x5 + 0.25*x6 + 0.2*x7 + 0.2*x8 + 0.26*x9
+ 0.26*x10 + 0.23*x11 + 0.23*x12 + 0.18*x13 + 0.18*x14 + 0.07*x17
+ 0.18*x18 + 0.02*x19 + 0.1*x20 + x30 + 0.93*x31 - x35 =G= -0.5;
e12.. 0.8*x1 + 0.8*x2 + 0.35*x3 + 0.35*x4 + 0.23*x5 + 0.23*x6 + 0.1*x7
+ 0.1*x8 + 0.33*x9 + 0.33*x10 + 0.27*x11 + 0.27*x12 + 0.14*x13
+ 0.14*x14 - x15 - x16 + 0.04*x17 + 0.03*x18 + 0.06*x19 + 0.04*x20 - x31
- x36 =G= 0;
e13.. 0.23*x17 + 0.42*x18 + x32 - x37 =G= 0;
e14.. 0.3*x19 + 0.6*x20 + x33 - x38 =G= -0.1;
e15.. x1 =L= 3.4;
e16.. x2 =L= 0;
e17.. x21 =L= 2.7;
e18.. x22 =L= 0.3;
e19.. x3 + x5 + x7 + x9 + x11 + x13 =L= 50.5;
e20.. x4 + x6 + x8 + x10 + x12 + x14 =L= 7.5;
e21.. x15 =L= 7.1;
e22.. x16 =L= 0.8;
e23.. x17 + x19 =L= 7.3;
e24.. x18 + x20 =L= 2.9;
e25.. - 0.83*x17 + x19 =L= 3.9;
e26.. x20 =L= 2.5;
e27.. - 0.45*x3 - 0.5*x4 - 0.45*x5 - 0.5*x6 - 0.45*x7 - 0.5*x8 - 0.5*x9
- 0.55*x10 - 0.5*x11 - 0.55*x12 - 0.5*x13 - 0.55*x14 - 0.41*x15
- 0.5*x16 - 0.27*x17 - 0.45*x18 - 0.32*x19 - 0.28*x20 - 0.9*x21 - x22
- 32*x23 - 32*x24 - 32*x25 - 32*x26 - 32*x27 - 32*x28 - 32*x29 + 0.3*x30
+ x39 =E= 0;
e28.. -(-3865470.56640001*x34**(-4) - 5130022.82472*x35**(-4) - 423446.8691225*
x36**(-4) - 1808.40439881057*x37**(-2.33333333333333) - 17313.2956782741*
x38**(-2.33333333333333)) + x39 - objvar =E= 0;
* set non-default bounds
x23.up = 13.6;
x24.up = 1.1;
x25.up = 1;
x26.up = 16.2;
x27.up = 8.9;
x28.up = 4.4;
x29.up = 3.1;
x30.up = 1.7;
x31.up = 1.9;
x34.lo = 2;
x35.lo = 2;
x36.lo = 2;
x37.lo = 2;
x38.lo = 2;
* set non-default levels
x1.l = 3.1;
x3.l = 13.6;
x5.l = 1.1;
x7.l = 1;
x9.l = 16.4244058299284;
x11.l = 8.9;
x13.l = 4.4;
x15.l = 7.1;
x16.l = 0.8;
x17.l = 5.56103683518173;
x18.l = 0.312071787775987;
x19.l = 1.73896316481828;
x20.l = 2.5;
x21.l = 2.7;
x23.l = 13.6;
x24.l = 1.1;
x25.l = 1;
x26.l = 15.7244058299284;
x27.l = 8.9;
x28.l = 4.4;
x29.l = 3.1;
x30.l = 0.928008053710258;
x31.l = 0.268195340806014;
x32.l = 2.78989137704229;
x33.l = 6.47831105055452;
x34.l = 12.8;
x35.l = 13.8;
x36.l = 8.3;
x37.l = 4.2;
x38.l = 8.6;
x39.l = 1560.6691675193;
* set non-default marginals
e1.m = 1;
e2.m = 1;
e3.m = 1;
e4.m = 1;
e5.m = 1;
e6.m = 1;
e7.m = 1;
e8.m = 1;
e9.m = 1;
e10.m = 1;
e11.m = 1;
e12.m = 1;
e13.m = 1;
e14.m = 1;
e16.m = 1;
e17.m = 1;
e21.m = 1;
e22.m = 1;
e23.m = 1;
e26.m = 1;
e27.m = 1;
x4.m = 1;
x6.m = 1;
x8.m = 1;
x10.m = 1;
x12.m = 1;
x14.m = 1;
x22.m = 1;
x23.m = 1;
x24.m = 1;
x25.m = 1;
x27.m = 1;
x28.m = 1;
x29.m = 1;
x34.m = 1;
x35.m = 1;
x36.m = 1;
x37.m = 1;
x38.m = 1;
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: 2024-12-17 Git hash: 8eaceb91