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

Jordi Castro | 37951 | 20097 | 1.38245e-04 | easy | cta | 0 | dale-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 | 37951 | 34785 |

Constraints | 20097 | 20097 |

Binaries | 4923 | 4923 |

Integers | 0 | 0 |

Continuous | 33028 | 29862 |

Implicit Integers | 0 | 0 |

Fixed Variables | 3166 | 0 |

Nonzero Density | 0.000138245 | 0.000141770 |

Nonzeroes | 105440 | 99108 |

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

Total | 20097 | 20097 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 19692 | 19692 |

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 | 405 | 405 |

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 | 3.692318 | ||||

Constraint % | 0.0199035 | 0.0199035 | 0.0199035 | 0.0199035 | |

Variable % | 0.0086200 | 0.0086200 | 0.0086200 | 0.0086200 | |

Score | 0.979763 |

No solution available for dale-cta .

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

tr12-30 | easy | 1080 | 360 | 0 | 720 | 750 | 2508 | MIPLIB submission pool | -- | 130596 | benchmark decomposition benchmark_suitable aggregations variable_bound mixed_binary |

bg512142 | hard | 792 | 240 | 0 | 552 | 1307 | 3953 | A. Miller | -- | 184202.75 | aggregations precedence variable_bound mixed_binary |

dg012142 | hard | 2080 | 640 | 0 | 1440 | 6310 | 14795 | A. Miller | -- | 2300867 | aggregations precedence variable_bound mixed_binary |

mc11 | easy | 3040 | 1520 | 0 | 1520 | 1920 | 6080 | F. Ortega, L. Wolsey | mc | 11689 | benchmark decomposition benchmark_suitable variable_bound mixed_binary |

mc8 | easy | 3040 | 1520 | 0 | 1520 | 1920 | 6080 | F. Ortega, L. Wolsey | mc | 1566 | decomposition benchmark_suitable 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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