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

H. Mittelmann | 2298 | 1026 | 1.9069e-03 | easy | -- | 6742.1998835 | binkar10_1.mps.gz |

Relaxed version of problem binkar10

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 2298 | 2298 |

Constraints | 1026 | 1026 |

Binaries | 170 | 170 |

Integers | 0 | 0 |

Continuous | 2128 | 2128 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.0019069 | 0.0019069 |

Nonzeroes | 4496 | 4496 |

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

Total | 1026 | 1026 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 200 | 200 |

Precedence | 0 | 0 |

Variable Bound | 0 | 0 |

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 | 0 | 0 |

Mixed Binary | 826 | 826 |

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 | 2.267172 | ||||

Constraint % | 0.0974659 | 0.1059410 | 0.0974659 | 0.292398 | |

Variable % | 0.0870322 | 0.0908162 | 0.0870322 | 0.174064 | |

Score | 0.194746 |

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 |
---|---|---|---|---|---|---|---|---|

2 | 6742.2 | 6742.2 | 0.0e+00 | 0 | 0 | - | 2018-10-13 | Solution imported from MIPLIB2010. |

1 | 6742.2 | 6742.2 | 7.4e-06 | 0 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to binkar10_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 |
---|---|---|---|---|---|---|---|---|---|---|---|

supportcase25 | easy | 6769 | 576 | 0 | 6193 | 6673 | 22825 | Michael Winkler | -- | 0.04829280869043 | decomposition numerics aggregations variable_bound mixed_binary |

neos-1396125 | easy | 1161 | 129 | 0 | 1032 | 1494 | 5511 | NEOS Server Submission | neos-pseudoapplication-96 | 3000.0453373 | benchmark_suitable precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack knapsack mixed_binary |

shiftreg2-7 | hard | 11404 | 4152 | 0 | 7252 | 8540 | 34900 | Domenico Salvagnin | shiftreg | 230.326187744737 | decomposition numerics aggregations set_partitioning cardinality equation_knapsack binpacking knapsack mixed_binary |

shiftreg5-1 | open | 48736 | 10608 | 0 | 38128 | 31424 | 157504 | Domenico Salvagnin | shiftreg | 522.1155479894852* | numerics aggregations set_partitioning cardinality equation_knapsack binpacking knapsack mixed_binary |

neos-1423785 | open | 21506 | 1920 | 0 | 19586 | 25721 | 64082 | NEOS Server Submission | neos-pseudoapplication-98 | 21893.26* | aggregations precedence variable_bound mixed_binary |

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Last Update Aug 03, 2023 by Jan Krüger

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