MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
Home // Instances // Documentation // Download // Statistics
Instance junkturn
A spacecraft orientation problem as nonlinear optimal control problem by Junkins and Turner.
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 0.00000000 (BARON) 0.00000000 (GUROBI) 0.00000000 (SCIP) |
| Referencesⓘ | Junkins, J. L. and Turner, J. D., Optimal Continuous Torque Attitude Maneuvers, Journal of Guidance, Control, and Dynamics, 3:3, 1980, 210-217. Tyatushkin, A. I., Zholudev, A. I., and Erinchek, N. M., The gradient method for solving optimal control problems with phase constraints. In Davisson, L. D., MacFarlane, A. G. J., Kwakernaak, H., Massey, J. L., Tsypkin, Ya Z., Viterbi, A. J., and Kall, Peter, Eds, System Modelling and Optimization, Lecture Notes in Control and Information Sciences, 180, Springer Berlin Heidelberg, 1992, 456-464. |
| Sourceⓘ | QPLIB instance 8683, contributed by Nick Gould, CUTEr model JUNKTURN |
| Applicationⓘ | Optimal Control |
| Added to libraryⓘ | 18 Aug 2018 |
| Problem typeⓘ | QCQP |
| #Variablesⓘ | 200008 |
| #Binary Variablesⓘ | 0 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 199999 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | quadratic |
| Objective curvatureⓘ | convex |
| #Nonzeros in Objectiveⓘ | 59999 |
| #Nonlinear Nonzeros in Objectiveⓘ | 59999 |
| #Constraintsⓘ | 140000 |
| #Linear Constraintsⓘ | 0 |
| #Quadratic Constraintsⓘ | 140000 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 940000 |
| #Nonlinear Nonzeros in Jacobianⓘ | 600000 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 659999 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 59999 |
| #Blocks in Hessian of Lagrangianⓘ | 79999 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 7 |
| Average blocksize in Hessian of Lagrangianⓘ | 2.500019 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 8.3330e-04 |
| Maximal coefficientⓘ | 1.0000e+00 |
| Infeasibility of initial pointⓘ | 1 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |