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

COR@L test set | 6731 | 593 | 3.28745e-02 | easy | – | 404227536.16 | leo1.mps.gz |

Instance coming from the COR@L test set with unknown origin Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 6731 | 6731 |

Constraints | 593 | 590 |

Binaries | 6730 | 6730 |

Integers | 0 | 0 |

Continuous | 1 | 1 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.0328745 | 0.0330409 |

Nonzeroes | 131218 | 131215 |

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

Total | 593 | 590 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 3 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 26 | 26 |

Set Partitioning | 0 | 0 |

Set Packing | 408 | 408 |

Set Covering | 16 | 16 |

Cardinality | 0 | 0 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 140 | 140 |

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 | 2.638489 | ||||

Constraint % | 0.1694920 | 0.169492 | 0.169492 | 0.169492 | |

Variable % | 0.0297133 | 0.230278 | 0.282276 | 0.356559 | |

Score | 0.733899 |

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 | 404227536 | 404227536 | 0 | 1e-07 | 1e-07 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to leo1 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

leo2 | easy | 11100 | 11099 | 0 | 1 | 593 | 219959 | COR@L test set | – | 404077441.12 | benchmark benchmark_suitable variable_bound set_packing set_covering mixed_binary |

blp-ar98 | easy | 16021 | 15806 | 0 | 215 | 1128 | 200601 | M. Lübbecke | blp | 6205.2147104 | benchmark decomposition benchmark_suitable variable_bound set_packing equation_knapsack mixed_binary general_linear |

blp-ic98 | easy | 13640 | 13550 | 0 | 90 | 717 | 191947 | M. Lübbecke | blp | 4491.44758395 | benchmark decomposition benchmark_suitable set_packing mixed_binary general_linear |

blp-ir98 | easy | 6097 | 6031 | 0 | 66 | 486 | 79152 | M. Lübbecke | blp | 2342.315488 | decomposition benchmark_suitable set_packing equation_knapsack mixed_binary general_linear |

blp-ic97 | easy | 9845 | 9753 | 0 | 92 | 923 | 118149 | M. Lübbecke | blp | 4025.023580799999 | decomposition benchmark_suitable set_packing mixed_binary general_linear |

```
@misc{coral,
key = {zzz coral},
note = {http://coral.ie.lehigh.edu/data-sets/mixed-integer-instances/},
title = {{COR@L} {MIP} {I}nstances},
year = {2010}
}
```

Last Update 2024 by Julian Manns

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