MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Removed Instance ship
This version of ship corresponds to a earlier version of GAMS model library model ship, which had been "disimproved", so it became unbounded.
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 0.00000000 (ANTIGONE) 548143.25580000 (LINDO) -99999999809999994880.00000000 (SCIP) |
| Referencesⓘ | Bracken, Jerome and McCormick, Garth P, Chapter 6. In Bracken, Jerome and McCormick, Garth P, Selected Applications of Nonlinear Programming, John Wiley and Sons, New York, 1968. |
| Sourceⓘ | GAMS Model Library model ship (modified version) |
| Applicationⓘ | Structural Optimization |
| Added to libraryⓘ | 31 Jul 2001 |
| Removed from libraryⓘ | 15 Aug 2014 |
| Removed becauseⓘ | Objective function is singular (division by variable that can be 0) |
| Problem typeⓘ | NLP |
| #Variablesⓘ | 10 |
| #Binary Variablesⓘ | 0 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 10 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | signomial |
| Objective curvatureⓘ | indefinite |
| #Nonzeros in Objectiveⓘ | 6 |
| #Nonlinear Nonzeros in Objectiveⓘ | 6 |
| #Constraintsⓘ | 16 |
| #Linear Constraintsⓘ | 9 |
| #Quadratic Constraintsⓘ | 1 |
| #Polynomial Constraintsⓘ | 3 |
| #Signomial Constraintsⓘ | 3 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 46 |
| #Nonlinear Nonzeros in Jacobianⓘ | 25 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 42 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 4 |
| #Blocks in Hessian of Lagrangianⓘ | 1 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 10 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 10 |
| Average blocksize in Hessian of Lagrangianⓘ | 10.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 3.9000e-03 |
| Maximal coefficientⓘ | 4.9500e+02 |
| Infeasibility of initial pointⓘ | 407.3 |
$offlisting * * Equation counts * Total E G L N X C B * 17 5 12 0 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 11 11 0 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 53 22 31 0 * * Solve m using NLP minimizing objvar; Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,objvar; Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17; e1.. -0.5*x9*x4*(0.8*x7 + 0.333333333333333*x8) + x1 =E= 0; e2.. -0.5*x9*x5*(0.8*x7 + 0.333333333333333*x8) + x2 =E= 0; e3.. -0.5*x9*x6*(0.8*x7 + 0.333333333333333*x8) + x3 =E= 0; e4.. sqr(x10 - x7) - (sqr(x8) - sqr(x9)) =E= 0; e5.. x1 - 8.4652734375*x10 =G= 0; e6.. x2 - 9.65006510416667*x10 =G= 0; e7.. x3 - 8.8716796875*x10 =G= 0; e8.. 0.5*x1*x9 - 2.2*(8.4652734375*x10)**1.33333333333333 =G= 0; e9.. 0.5*x2*x9 - 2.2*(9.65006510416667*x10)**1.33333333333333 =G= 0; e10.. 0.5*x3*x9 - 2.2*(8.8716796875*x10)**1.33333333333333 =G= 0; e11.. x4 - 0.0111771747883801*x7 =G= 0.2; e12.. x5 - 0.0137655360411427*x7 =G= 0.2; e13.. x6 - 0.0155663872253648*x7 =G= 0.2; e14.. x4 - 0.0111771747883801*x8 =G= 0.2; e15.. x5 - 0.0137655360411427*x8 =G= 0.2; e16.. x6 - 0.0155663872253648*x8 =G= 0.2; e17.. -(0.0039*x7 + 0.0039*x8)*(495*x4 + 385*x5 + 315*x6)/x10 + objvar =E= 0; * set non-default bounds x4.lo = 1.05; x5.lo = 1.05; x6.lo = 1.05; * set non-default levels x1.l = 934.032; x2.l = 934.032; x3.l = 1011.868; x4.l = 1.2; x5.l = 1.2; x6.l = 1.3; x7.l = 45.8; x8.l = 43.2; x9.l = 30.5; x10.l = 76.3939536510076; Model m / all /; m.limrow=0; m.limcol=0; $if NOT '%gams.u1%' == '' $include '%gams.u1%' $if not set NLP $set NLP NLP Solve m using %NLP% minimizing objvar;
Last updated: 2024-08-26 Git hash: 6cc1607f