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

B. Krishnamoorthy, G. Pataki | 100 | 1 | 1 | easy | – | Infeasible | p2m2p1m1p0n100.mps.gz |

A 0-1 knapsack problem constructed to be difficult

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 100 | 100 |

Constraints | 1 | 1 |

Binaries | 100 | 100 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 1 | 1 |

Nonzeroes | 100 | 100 |

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

Total | 2 | 2 |

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 | 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 | 1 | 1 |

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 | 0.30103 | ||||

Constraint % | 100 | 100 | 100 | 100 | |

Variable % | 100 | 100 | 100 | 100 | |

Score | 0.00000 |

No solution available for p2m2p1m1p0n100 .

The following instances are most similar to p2m2p1m1p0n100 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

mod008inf | easy | 319 | 319 | 0 | 0 | 7 | 1562 | MIPLIB submission pool | mod | Infeasible | infeasible binary knapsack mixed_binary |

d20200 | open | 4000 | 4000 | 0 | 0 | 1502 | 189389 | COR@L test set | – | 12240* | binary decomposition set_partitioning invariant_knapsack knapsack |

pb-market-split8-70-4 | open | 71 | 71 | 0 | 0 | 17 | 1113 | Gleb Belov | pb- | no_solution binary feasibility knapsack mixed_binary | |

10teams | easy | 2025 | 1800 | 0 | 225 | 230 | 12150 | MIPLIB submission pool | – | 924 | binary set_partitioning set_packing invariant_knapsack |

h80x6320 | easy | 12640 | 6320 | 0 | 6320 | 79 | 6320 | MIPLIB submission pool | fixed-cost-network-flow | 3700 | binary decomposition set_partitioning |

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Last Update Aug 13, 2020 by Gabriel Kressin

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