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

Domenico Salvagnin | 16440 | 38192 | 1.66307e-04 | easy | -- | 24256.3122898 | supportcase40.mps.gz |

Instance coming from IBM developerWorks forum with unknown application.

Detailed explanation of the following tables can be found here.

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

Variables | 16440 | 5168 |

Constraints | 38192 | 8670 |

Binaries | 2000 | 300 |

Integers | 0 | 0 |

Continuous | 14440 | 4868 |

Implicit Integers | 0 | 0 |

Fixed Variables | 120 | 0 |

Nonzero Density | 0.000166307 | 0.000564471 |

Nonzeroes | 104420 | 25292 |

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

Total | 38192 | 8670 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 20 | 0 |

Aggregations | 0 | 0 |

Precedence | 28100 | 6300 |

Variable Bound | 6000 | 600 |

Set Partitioning | 0 | 0 |

Set Packing | 100 | 100 |

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 | 3972 | 1670 |

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 | 1.755875 | ||||

Constraint % | 1.26021 | 1.43774 | 1.36523 | 1.66861 | |

Variable % | 1.24856 | 1.40772 | 1.34460 | 1.61352 | |

Score | 0.793679 |

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 | 24256.31 | 24256.31 | 0 | 0 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to supportcase40 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

qiu | easy | 840 | 48 | 0 | 792 | 1192 | 3432 | Y. Chiu, J. Eckstein | -- | -132.87313695 | benchmark_suitable precedence variable_bound mixed_binary |

30_70_45_05_100 | easy | 10772 | 10771 | 0 | 1 | 12050 | 45889 | J. Walser | 30_70 | 9 | binary decomposition benchmark_suitable precedence variable_bound set_covering mixed_binary |

30_70_45_095_98 | easy | 10990 | 10989 | 0 | 1 | 12471 | 46387 | J. Walser | 30_70 | 12 | binary decomposition benchmark_suitable precedence variable_bound set_covering mixed_binary |

30_70_45_095_100 | easy | 10976 | 10975 | 0 | 1 | 12526 | 46640 | J. Walser | 30_70 | 3 | binary decomposition benchmark_suitable precedence variable_bound set_covering mixed_binary |

supportcase37 | easy | 20047 | 1484 | 0 | 18563 | 59023 | 135627 | Domenico Salvagnin | -- | -1048.96 | benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing invariant_knapsack mixed_binary |

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Last Update Mai 20, 2021 by Philipp Wellner

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