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Instance parabol5_2_4
Parabolic Boundary Control Problem with instationary Burgers equation and active control constraints
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 0.00000788 (BARON) 0.06637132 (COUENNE) 0.00000839 (GUROBI) 0.00000788 (SCIP) |
| Referencesⓘ | Mittelmann, Hans D., Sufficient Optimality for Discretized Parabolic and Elliptic Control Problems. In Karl-Heinz Hoffmann, Ronald H.W. Hoppe, and Schulz, Volker, Eds, Fast solution of discretized optimization problems, Birkhäuser, Basel, 2001. Mittelmann, Hans D. and Tröltzsch, Fredi, Sufficient Optimality in a Parabolic Control Problem. In Siddiqi, Abul Hasan and Kočvara, Michal, Eds, Trends in Industrial and Applied Mathematics: Proceedings of the 1st International Conference on Industrial and Applied Mathematics of the Indian Subcontinent, Applied Optimization, 72, Springer, US, 2002, 305-316. |
| Sourceⓘ | QPLIB instance 10037, contributed by Hans Mittelmann, http://plato.asu.edu/pdecon.html |
| Applicationⓘ | Optimal Control |
| Added to libraryⓘ | 18 Aug 2018 |
| Problem typeⓘ | QCP |
| #Variablesⓘ | 40401 |
| #Binary Variablesⓘ | 0 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 40400 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 1 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 40201 |
| #Linear Constraintsⓘ | 200 |
| #Quadratic Constraintsⓘ | 40001 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 240005 |
| #Nonlinear Nonzeros in Jacobianⓘ | 238804 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 239800 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 600 |
| #Blocks in Hessian of Lagrangianⓘ | 201 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 40200 |
| Average blocksize in Hessian of Lagrangianⓘ | 200.995025 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.9750e-06 |
| Maximal coefficientⓘ | 5.2658e+02 |
| Infeasibility of initial pointⓘ | 0.1 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |