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

Kiyan Ahmadizadeh | 164547 | 328818 | 1.01637e-05 | easy | map | -495 | map10.mps.gz |

Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 164547 | 26843 |

Constraints | 328818 | 50120 |

Binaries | 146 | 118 |

Integers | 0 | 0 |

Continuous | 164401 | 26725 |

Implicit Integers | 0 | 0 |

Fixed Variables | 1 | 0 |

Nonzero Density | 1.01637e-05 | 7.93223e-05 |

Nonzeroes | 549920 | 106718 |

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

Total | 328818 | 50120 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 118493 | 0 |

Aggregations | 0 | 0 |

Precedence | 36827 | 21106 |

Variable Bound | 164400 | 23593 |

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 | 1 | 1 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 9097 | 5420 |

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 | 3.257439 | ||||

Constraint % | 0.0020000 | 0.0059800 | 0.0020000 | 0.494812 | |

Variable % | 0.0107956 | 0.0269732 | 0.0107956 | 1.943210 | |

Score | 0.107784 |

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 | -495 | -495 | 0 | 0 | 0 | - | 2018-10-13 | Solution imported from MIPLIB2010. |

1 | -495 | -495 | 0 | 0 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to map10 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

map06 | easy | 164547 | 146 | 0 | 164401 | 328818 | 549920 | Kiyan Ahmadizadeh | map | -289 | benchmark_suitable precedence variable_bound knapsack mixed_binary |

map16715-04 | easy | 164547 | 146 | 0 | 164401 | 328818 | 549920 | Kiyan Ahmadizadeh | map | -111 | benchmark benchmark_suitable precedence variable_bound knapsack mixed_binary |

map18 | easy | 164547 | 146 | 0 | 164401 | 328818 | 549920 | Kiyan Ahmadizadeh | map | -847 | benchmark_suitable precedence variable_bound knapsack mixed_binary |

map14860-20 | easy | 164547 | 146 | 0 | 164401 | 328818 | 549920 | Kiyan Ahmadizadeh | map | -922 | benchmark_suitable precedence variable_bound knapsack mixed_binary |

neos-3209462-rhin | hard | 56453 | 383 | 0 | 56070 | 170226 | 447473 | Jeff Linderoth | neos-pseudoapplication-98 | 12 | aggregations precedence variable_bound set_partitioning set_covering cardinality invariant_knapsack mixed_binary |

```
@inproceedings{AhmadizadehDilkinaGomesSabharwal2010,
author = {Ahmadizadeh, Kiyan and Dilkina, Bistra and Gomes, Carla P. and
Sabharwal, Ashish},
booktitle = {Principles and Practice of Constraint Programming},
pages = {514--521},
series = {Lecture Notes in Computer Science},
title = {An Empirical Study of Optimization for Maximizing Diffusion in
Networks},
volume = {6308}
}
@inproceedings{SheldonETAL2010,
author = {Sheldon, Daniel and Dilkina, Bistra and Elmachtoub, Adam and Finseth, Ryan and Sabharwal, Ashish and Conrad, Jon and Gomes, Carla P. and Shmoys, David and Allen, Will
and Amundsen, Ole and
Vaughan, Buck},
booktitle = {Proceedings of the 26th Conference on
Uncertainty in Artificial Intelligence},
pages = {517-526},
title = {Maximizing Spread of Cascades Using Network Design},
year = {2010}
}
```

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