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

Domenico Salvagnin | 106150 | 4665 | 4.7865e-03 | easy | – | -52.322274351 | roi5alpha10n8.mps.gz |

Neurobiology application: optimal placing of sensors on the scalp to maximize signal on a given ROI, also taking uniformity of coverage into account. Solved with COPT 7.0 using up to 12 threads in less than 30 minutes.

Detailed explanation of the following tables can be found here.

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

Variables | 106150 | 30298 |

Constraints | 4665 | 4665 |

Binaries | 105950 | 30098 |

Integers | 0 | 0 |

Continuous | 200 | 200 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.0047865 | 0.0156963 |

Nonzeroes | 2370220 | 2218520 |

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

Total | 4665 | 4665 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 3813 | 3813 |

Set Partitioning | 0 | 0 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 2 | 2 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 0 | 0 |

Bin Packing | 650 | 650 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 200 | 200 |

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 | 1.361728 | ||||

Constraint % | 0.0214362 | 3.91016 | 0.0214362 | 79.7642 | |

Variable % | 0.0066000 | 4.54545 | 0.0066000 | 97.8546 | |

Score | 0.802642 |

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 | -52.32227 | -52.32227 | 0 | 0 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to roi5alpha10n8 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

roi2alpha3n4 | easy | 6816 | 6642 | 0 | 174 | 1251 | 878812 | Domenico Salvagnin | – | -63.20849503 | benchmark benchmark_suitable variable_bound cardinality binpacking mixed_binary |

prod2 | easy | 301 | 200 | 0 | 101 | 211 | 10501 | MIPLIB submission pool | – | -62 | benchmark_suitable variable_bound set_partitioning mixed_binary |

prod1 | easy | 250 | 149 | 0 | 101 | 208 | 5350 | MIPLIB submission pool | – | -56 | benchmark_suitable variable_bound set_partitioning set_covering mixed_binary |

neos-1171448 | easy | 4914 | 2457 | 0 | 2457 | 13206 | 131859 | NEOS Server Submission | neos-pseudoapplication-8 | -309 | benchmark benchmark_suitable variable_bound invariant_knapsack mixed_binary |

fhnw-binschedule2 | open | 30973 | 30504 | 468 | 1 | 6503 | 134640 | Simon Felix | fhnw-bin | 2428* | decomposition variable_bound set_partitioning set_packing invariant_knapsack binpacking mixed_binary general_linear |

`No bibliographic information available`

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