Submitter | Variables | Constraints | Density | Status | Group | Objective | MPS File |
---|---|---|---|---|---|---|---|

Jordi Castro | 49758 | 3946 | 1.72105e-04 | easy | cta | 106.9047 | australia-abs-cta.mps.gz |

Set of MILP instances of the CTA (Controlled Tabular Adjustment) problem, a method to protect statistical tabular data, belonging to the field of SDC (Statistical Disclosure Control). Raw data of instances are real or pseudo-real, provided by several National Statistical Agencies. We generated the CTA problem for these data.

Detailed explanation of the following tables can be found here.

Original | Presolved | |
---|---|---|

Variables | 49758 | 14142 |

Constraints | 3946 | 3946 |

Binaries | 918 | 918 |

Integers | 0 | 0 |

Continuous | 48840 | 13224 |

Implicit Integers | 0 | 0 |

Fixed Variables | 35616 | 0 |

Nonzero Density | 0.000172105 | 0.000605544 |

Nonzeroes | 33792 | 33792 |

Original | Presolved | |
---|---|---|

Total | 3946 | 3946 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 1 | 1 |

Precedence | 0 | 0 |

Variable Bound | 3672 | 3672 |

Set Partitioning | 0 | 0 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 0 | 0 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 273 | 273 |

General Linear | 0 | 0 |

Indicator | 0 | 0 |

Available nonzero structure and decomposition information. Further information can be found here.

Decomposed structure of original problem (dec-file)

Decomposed structure after trivial presolving (dec-file)

value | min | median | mean | max | |
---|---|---|---|---|---|

Components | 2.963788 | ||||

Constraint % | 0.0253421 | 0.1012860 | 0.1013680 | 0.1013680 | |

Variable % | 0.0141423 | 0.0212057 | 0.0212134 | 0.0212134 | |

Score | 0.930619 |

Find solutions below. Download the archive containing all solutions from the Download page.

ID | Objective | Exact | Int. Viol | Cons. Viol | Obj. Viol | Submitter | Date | Description |
---|---|---|---|---|---|---|---|---|

1 | 106.0589 | 106.9047 | 8e-06 | 9e-07 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to australia-abs-cta in the collection. This similarity analysis is based on 100 scaled instance features describing properties of the variables, objective function, bounds, constraints, and right hand sides.

Instance | Status | Variables | Binaries | Integers | Continuous | Constraints | Nonz. | Submitter | Group | Objective | Tags |
---|---|---|---|---|---|---|---|---|---|---|---|

cbs-cta | easy | 24793 | 2467 | 0 | 22326 | 10112 | 64388 | Jordi Castro | cta | 0 | benchmark decomposition benchmark_suitable variable_bound mixed_binary |

atm20-100 | hard | 6480 | 2220 | 0 | 4260 | 4380 | 58878 | Matthew Galati | -- | 2463621.57727541 | decomposition variable_bound set_partitioning invariant_knapsack mixed_binary |

dsbmip | easy | 1886 | 192 | 0 | 1694 | 1182 | 7366 | MIPLIB submission pool | -- | -305.19817501 | aggregations precedence variable_bound set_partitioning mixed_binary |

misc04inf | easy | 4897 | 30 | 0 | 4867 | 1726 | 17253 | MIPLIB submission pool | misc | Infeasible | infeasible aggregations precedence variable_bound set_packing mixed_binary general_linear |

dcmulti | easy | 548 | 75 | 0 | 473 | 290 | 1315 | MIPLIB submission pool | -- | 188182 | decomposition precedence variable_bound set_packing cardinality invariant_knapsack mixed_binary |

```
@ARTICLE{Castro2006,
author = {J. Castro},
title = {Minimum-distance controlled perturbation methods for large-scale tabular data protection},
journal = {European Journal of Operational Research},
year = {2006},
volume = {171},
pages = {39--52},
}
@ARTICLE{Castro2011,
author = {J. A. González, J. Castro},
title = {A heuristic block coordinate descent approach for controlled tabular adjustment},
journal = {Computers & Operations Research},
year = {2011},
volume = {38},
pages = {1826--1835},
}
@ARTICLE{Castro2012,
author = {J. Castro},
title = {Recent advances in optimization techniques for statistical tabular data protection},
journal = {European Journal of Operational Research},
year = {2012},
volume = {216},
pages = {257--269},
}
@ARTICLE{CastroFrangioniGentile2014,
author = {J. Castro, A. Frangioni, C. Gentile},
title = {Perspective reformulations of the CTA problem with L2 distances},
journal = {Operations Research},
year = {2014},
volume = {62},
pages = {891--909},
}
@ARTICLE{BaenaCastroGonzalez2015,
author = {D. Baena, J. Castro, J. A. González},
title = {Fix-and-relax approaches for controlled tabular adjustment},
journal = {Computers & Operations Research},
year = {2015},
volume = {58},
pages = {41--52},
}
```

Last Update Mai 20, 2021 by Philipp Wellner

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