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

Jordi Castro | 75400 | 45350 | 8.53673e-05 | open | cta | 472243.4174959* | bts4-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 | 75400 | 75399 |

Constraints | 45350 | 45350 |

Binaries | 2260 | 2260 |

Integers | 0 | 0 |

Continuous | 73140 | 73139 |

Implicit Integers | 0 | 0 |

Fixed Variables | 1 | 0 |

Nonzero Density | 8.53673e-05 | 8.53678e-05 |

Nonzeroes | 291904 | 291902 |

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

Total | 45350 | 45350 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 9040 | 9040 |

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 | 36310 | 36310 |

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 | 2.354108 | ||||

Constraint % | 0.0154355 | 0.444444 | 0.0352811 | 10.90630 | |

Variable % | 0.0185679 | 0.444444 | 0.0424409 | 9.49084 | |

Score | 0.955560 |

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 | 472243.4 | 525661.4 | 6.3e-06 | 1e-06 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to bts4-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 |
---|---|---|---|---|---|---|---|---|---|---|---|

unitcal_7 | easy | 25755 | 2856 | 0 | 22899 | 48939 | 127595 | R. O'Neill | -- | 19635558.244 | benchmark benchmark_suitable precedence variable_bound mixed_binary general_linear |

mod011 | easy | 10958 | 96 | 0 | 10862 | 4480 | 22254 | MIPLIB submission pool | mod | -54558535.59 | numerics aggregations variable_bound set_packing mixed_binary |

a1c1s1 | easy | 3648 | 192 | 0 | 3456 | 3312 | 10178 | M. Vyve, Y. Pochet | c1s1 | 11503.444125 | benchmark_suitable aggregations variable_bound mixed_binary |

a2c1s1 | easy | 3648 | 192 | 0 | 3456 | 3312 | 10178 | M. Vyve, Y. Pochet | c1s1 | 10889.137625 | benchmark_suitable aggregations variable_bound mixed_binary |

dg012142 | hard | 2080 | 640 | 0 | 1440 | 6310 | 14795 | A. Miller | -- | 2300867 | aggregations precedence variable_bound 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 Nov 16, 2020 by Philipp Wellner

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