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

Michael Winkler | 27 | 7540 | 4.68243e-01 | easy | – | 20 | supportcase21i.mps.gz |

MIP with Indicator instances collected from Gurobi forum with unknown application

Detailed explanation of the following tables can be found here.

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

Variables | 27 | 24 |

Constraints | 7540 | 5277 |

Binaries | 24 | 23 |

Integers | 3 | 1 |

Continuous | 0 | 0 |

Implicit Integers | 3 | 1 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.468243 | 0.482100 |

Nonzeroes | 95325 | 61057 |

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

Total | 7537 | 5276 |

Empty | 0 | 0 |

Free | 1 | 1 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 0 | 0 |

Set Partitioning | 0 | 0 |

Set Packing | 0 | 0 |

Set Covering | 1 | 1 |

Cardinality | 0 | 0 |

Invariant Knapsack | 0 | 5273 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 7533 | 0 |

General Linear | 2 | 1 |

Indicator | 3 | 3 |

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 | |||||

Constraint % | |||||

Variable % | |||||

Score |

Find solutions below. Download the archive containing all solutions from the Download page.

`## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion`

ID | Objective | Exact | Int. Viol | Cons. Viol | Obj. Viol | Submitter | Date | Description |
---|---|---|---|---|---|---|---|---|

1 | 20 | 0 | 0 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to supportcase21i 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

supportcase2 | open | 2912 | 2912 | 0 | 0 | 597385 | 7653928 | Michael Winkler | – | 65* | binary aggregations set_covering invariant_knapsack binpacking |

supportcase22 | hard | 7129 | 7129 | 0 | 0 | 260602 | 2228828 | Michael Winkler | – | 117.0 | benchmark binary benchmark_suitable aggregations set_covering invariant_knapsack binpacking knapsack |

tw-myciel4 | hard | 760 | 759 | 1 | 0 | 8146 | 27961 | Arie Koster | – | 10 | aggregations precedence variable_bound invariant_knapsack general_linear |

neos-3402454-bohle | hard | 2904 | 2616 | 0 | 288 | 2897380 | 8953800 | Jeff Linderoth | neos-pseudoapplication-4 | Infeasible | benchmark infeasible benchmark_suitable precedence set_partitioning set_covering invariant_knapsack mixed_binary |

supportcase10 | hard | 14770 | 14770 | 0 | 0 | 165684 | 555082 | Michael Winkler | – | 7 | benchmark binary benchmark_suitable aggregations precedence variable_bound set_covering invariant_knapsack |

`No bibliographic information available`

Last Update Mar 04, 2024 by Julian Manns

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