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

Michael Winkler | 799616 | 166781 | 1.75047e-05 | easy | -- | -7559.533053817 | supportcase12.mps.gz |

MIP instances collected from Gurobi forum with unknown application

Detailed explanation of the following tables can be found here.

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

Variables | 799616 | 172782 |

Constraints | 166781 | 29794 |

Binaries | 0 | 0 |

Integers | 200 | 200 |

Continuous | 799416 | 172582 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 1.75047e-05 | 7.40462e-05 |

Nonzeroes | 2334440 | 381180 |

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

Total | 166781 | 29794 |

Empty | 6447 | 0 |

Free | 0 | 0 |

Singleton | 510 | 0 |

Aggregations | 41642 | 800 |

Precedence | 2784 | 0 |

Variable Bound | 1625 | 815 |

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 | 1 | 2 |

Mixed Binary | 112171 | 26577 |

General Linear | 1601 | 1600 |

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 | 2.311754 | ||||

Constraint % | 0.026851 | 0.463839 | 0.026851 | 24.1290 | |

Variable % | 0.002890 | 0.490196 | 0.002890 | 26.2875 | |

Score | 0.723397 |

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 | 1 | -7559.533 | -7559.533 | 0 | 1.3e-06 | 0e+00 | - | 2018-10-15 | Solution found during MIPLIB2017 problem selection. |

3 | 3 | -7558.797 | -7558.797 | 0 | 9.0e-07 | 2e-07 | - | 2018-10-22 | Solution found during MIPLIB2017 problem selection. |

2 | 2 | -7553.950 | -7553.950 | 0 | 0.0e+00 | 0e+00 | - | 2018-10-15 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to supportcase12 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

net12 | easy | 14115 | 1603 | 0 | 12512 | 14021 | 80384 | P. Belotti | -- | 214 | benchmark decomposition benchmark_suitable precedence set_packing cardinality invariant_knapsack mixed_binary |

neos-1445743 | easy | 20344 | 2150 | 0 | 18194 | 2148 | 39685 | NEOS Server Submission | neos-pseudoapplication-88 | -17905 | benchmark_suitable aggregations invariant_knapsack mixed_binary |

neos-1445765 | easy | 20617 | 2150 | 0 | 18467 | 2147 | 40230 | NEOS Server Submission | neos-pseudoapplication-88 | -17783 | benchmark benchmark_suitable aggregations invariant_knapsack mixed_binary |

neos-1445738 | easy | 20631 | 2150 | 0 | 18481 | 2145 | 40256 | NEOS Server Submission | neos-pseudoapplication-88 | -17380 | benchmark_suitable aggregations invariant_knapsack mixed_binary |

neos-824661 | easy | 45390 | 15640 | 0 | 29750 | 18804 | 138890 | NEOS Server Submission | neos-pseudoapplication-93 | 33 | decomposition benchmark_suitable set_partitioning set_packing cardinality binpacking mixed_binary |

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Last Update Dec 06, 2022 by Jan Krüger

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