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

NEOS Server Submission | 31329 | 354 | 8.1497e-03 | hard | neos-pseudoapplication-22 | Infeasible | neos-952987.mps.gz |

Instance coming from the NEOS Server with unknown application

Imported from MIPLIB2010. Claimed infeasible by a custom approach employed by Ed Klotz. The custom approach basically consists of 1. Solution of the MIP Farkas alternate system on just the equality constraints of the model 2. Rounding of all integer variables of this solution to their nearest integer. 3. Solution of the remaining MIP after fixing all integer variables to their rounded values

Detailed explanation of the following tables can be found here.

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

Variables | 31329 | 31248 |

Constraints | 354 | 354 |

Binaries | 31329 | 31248 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00814970 | 0.00817083 |

Nonzeroes | 90384 | 90384 |

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

Total | 354 | 354 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 0 | 0 |

Set Partitioning | 0 | 0 |

Set Packing | 0 | 0 |

Set Covering | 177 | 177 |

Cardinality | 0 | 0 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 168 | 168 |

Bin Packing | 0 | 0 |

Knapsack | 9 | 9 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 0 | 0 |

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 | 2.250420 | ||||

Constraint % | 0.282486 | 0.296850 | 0.282486 | 0.564972 | |

Variable % | 0.537634 | 0.564972 | 0.566436 | 0.566436 | |

Score | 0.522462 |

No solution available for neos-952987 .

The following instances are most similar to neos-952987 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

8div-n59k10 | hard | 6143 | 6138 | 5 | 0 | 2065 | 539151 | Sascha Kurz | 8div | Infeasible | infeasible set_partitioning cardinality equation_knapsack integer_knapsack general_linear |

neos-3045796-mogo | easy | 11016 | 11016 | 0 | 0 | 2226 | 44442 | Jeff Linderoth | neos-pseudoapplication-22 | -175 | binary decomposition set_partitioning set_packing set_covering invariant_knapsack equation_knapsack |

8div-n59k11 | hard | 12287 | 12282 | 5 | 0 | 4114 | 2126864 | Sascha Kurz | 8div | Infeasible | infeasible set_partitioning cardinality equation_knapsack integer_knapsack general_linear |

8div-n59k12 | hard | 24575 | 24570 | 5 | 0 | 8211 | 8448017 | Sascha Kurz | 8div | Infeasible | infeasible set_partitioning cardinality equation_knapsack integer_knapsack general_linear |

neos-820879 | easy | 9522 | 9522 | 0 | 0 | 361 | 72356 | NEOS Server Submission | neos-pseudoapplication-23 | 25467.99999999995 | binary benchmark_suitable set_partitioning set_covering cardinality knapsack mixed_binary |

```
@misc{neos,
key = {zzz neos},
note = {http://www.neos-server.org},
title = {{NEOS} {S}erver for {O}ptimization},
year = {2011}
}
```

Last Update Aug 03, 2023 by Jan Krüger

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