MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance densitymod
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 0.00000000 (ANTIGONE) 0.00000000 (BARON) 0.00000000 (COUENNE) 0.00000000 (LINDO) 0.00000000 (SCIP) 0.00000000 (SHOT) |
| Referencesⓘ | Sahinidis, N V and Smith, Alexander, Optimization model for density modification based on single-crystal X-ray diffraction data, 2009. |
| Sourceⓘ | M1withinc.gms from minlp.org model 32 |
| Applicationⓘ | Density modification based on single-crystal X-ray diffraction data |
| Added to libraryⓘ | 24 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 23529 |
| #Binary Variablesⓘ | 23424 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 105 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | nonlinear |
| Objective curvatureⓘ | unknown |
| #Nonzeros in Objectiveⓘ | 105 |
| #Nonlinear Nonzeros in Objectiveⓘ | 105 |
| #Constraintsⓘ | 550 |
| #Linear Constraintsⓘ | 550 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | abs |
| Constraints curvatureⓘ | linear |
| #Nonzeros in Jacobianⓘ | 1618862 |
| #Nonlinear Nonzeros in Jacobianⓘ | 0 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 105 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 105 |
| #Blocks in Hessian of Lagrangianⓘ | 105 |
| 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ⓘ | 3.1353e-03 |
| Maximal coefficientⓘ | 4.4040e+00 |
| Infeasibility of initial pointⓘ | 0 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |