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

Emilie Danna | 3283 | 1038 | 2.53892e-03 | easy | app | 19294.125 | app2-1.mps.gz |

The archive contains 5 instances coming from 3 applications.app1 is interesting because the continuous variables (w) drive the model.Some solvers have numerical problems on app2 models: some solutions found violate the constraints by a small amount.app2 and app3 models are easy to solve. But they don’t solve fast enough for the time limit I have in mind so I’d like to propose them for inclusion in MIPLIB. Imported from the MIPLIB2010 submissions.

Detailed explanation of the following tables can be found here.

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

Variables | 3283 | 3283 |

Constraints | 1038 | 1038 |

Binaries | 3283 | 3283 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00253892 | 0.00253892 |

Nonzeroes | 8652 | 8652 |

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

Total | 1038 | 1038 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 1022 | 1022 |

Set Partitioning | 0 | 0 |

Set Packing | 14 | 14 |

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 | 2 | 2 |

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 | 2.619093 | ||||

Constraint % | 0.0963391 | 0.2405 | 0.1926780 | 1.252410 | |

Variable % | 0.0609199 | 0.1065 | 0.0913798 | 0.426439 | |

Score | 0.996610 |

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 | 19294.12 | 8.1e-06 | 0 | 0 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to app2-1 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

app2-2 | easy | 1226 | 1226 | 0 | 0 | 335 | 3130 | Emilie Danna | app | 212040.3571429 | binary decomposition numerics variable_bound set_packing mixed_binary |

sp97ar | easy | 14101 | 14101 | 0 | 0 | 1761 | 290968 | J. Goessens, S. v. Hoessel, L. Kroon | sp9 | 660705645.759 | benchmark binary benchmark_suitable variable_bound set_packing set_covering mixed_binary |

sp98ar | easy | 15085 | 15085 | 0 | 0 | 1435 | 426148 | J. Goessens, S. v. Hoessel, L. Kroon | sp9 | 529740623.2 | benchmark binary benchmark_suitable variable_bound set_packing set_covering mixed_binary |

sp97ic | easy | 12497 | 12497 | 0 | 0 | 1033 | 316629 | J. Goessens, S. v. Hoessel, L. Kroon | sp9 | 427684487.6799999 | binary decomposition benchmark_suitable variable_bound set_packing set_covering mixed_binary |

neos-5140963-mincio | easy | 196 | 183 | 0 | 13 | 184 | 834 | Jeff Linderoth | neos-pseudoapplication-109 | 14393 | benchmark_suitable set_partitioning mixed_binary |

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