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

Michael Winkler | 319 | 130 | 2.59465e-02 | easy | – | 288 | supportcase16.mps.gz |

MIP instances collected from Gurobi forum with unknown application

Detailed explanation of the following tables can be found here.

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

Variables | 319 | 276 |

Constraints | 130 | 106 |

Binaries | 319 | 276 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.0259465 | 0.0328821 |

Nonzeroes | 1076 | 962 |

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

Total | 130 | 106 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 6 | 0 |

Aggregations | 16 | 11 |

Precedence | 0 | 0 |

Variable Bound | 1 | 2 |

Set Partitioning | 36 | 33 |

Set Packing | 17 | 16 |

Set Covering | 0 | 0 |

Cardinality | 54 | 44 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 0 | 0 |

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 | 1.278754 | ||||

Constraint % | 0.952381 | 1.53439 | 0.952381 | 8.57143 | |

Variable % | 1.075270 | 2.90721 | 1.971330 | 8.96057 | |

Score | 0.268237 |

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 | 288 | 288 | 0 | 0 | 0 | - | 2018-10-15 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to supportcase16 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

supportcase14 | easy | 304 | 304 | 0 | 0 | 234 | 1129 | Michael Winkler | – | 288 | binary aggregations variable_bound set_partitioning set_packing cardinality |

lr1dr02vc05v8a-t360 | open | 20810 | 12174 | 6471 | 2165 | 7560 | 58950 | Dimitri Papageorgiou | maritime | 195940.312927* | aggregations variable_bound set_partitioning set_packing cardinality mixed_binary general_linear |

b-ball | easy | 100 | 88 | 0 | 12 | 30 | 209 | Christopher Cullenbine | – | -1.50000000000001 | benchmark_suitable precedence cardinality mixed_binary |

rococoB10-011000 | easy | 4456 | 4320 | 136 | 0 | 1667 | 16517 | A. Chabrier, E. Danna, C. Le Pape, L. Perron | rococo | 19449 | benchmark decomposition benchmark_suitable precedence set_partitioning cardinality general_linear |

neos-826650 | easy | 5912 | 5792 | 0 | 120 | 2414 | 20440 | NEOS Server Submission | neos-pseudoapplication-87 | 29 | decomposition benchmark_suitable aggregations set_partitioning set_packing cardinality binpacking mixed_binary general_linear |

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Last Update Apr 09, 2019 by Gregor Hendel

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