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

Simon Felix | 8100 | 9080 | 5.93286e-04 | open | – | -497.0* | xmas10.mps.gz |

An ILP formulation of an FHNW puzzle (a mix of longest path and a flow problem).

Detailed explanation of the following tables can be found here.

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

Variables | 8100 | 5988 |

Constraints | 9080 | 6872 |

Binaries | 900 | 708 |

Integers | 0 | 0 |

Continuous | 7200 | 5280 |

Implicit Integers | 0 | 0 |

Fixed Variables | 1884 | 0 |

Nonzero Density | 0.000593286 | 0.000774201 |

Nonzeroes | 43635 | 31858 |

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

Total | 9080 | 6872 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 240 | 0 |

Aggregations | 3504 | 2665 |

Precedence | 0 | 0 |

Variable Bound | 0 | 8 |

Set Partitioning | 0 | 0 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 2 | 2 |

Invariant Knapsack | 841 | 781 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 39 |

Knapsack | 898 | 1110 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 3595 | 2267 |

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 | 3.376759 | ||||

Constraint % | 0.0145582 | 0.0297402 | 0.0145582 | 32.4647 | |

Variable % | 0.0331290 | 0.0416758 | 0.0331290 | 16.7633 | |

Score | 0.652521 |

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 | -497 | -497 | 0 | 0 | 0 | Mars Davletshin | 2023-11-24 | It was obtained with Huawei OptVerse solver using neural heuristic. |

1 | -495 | -495 | 0 | 0 | 0 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to xmas10 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

xmas10-2 | open | 8100 | 900 | 0 | 7200 | 8184 | 35561 | Simon Felix | – | -497* | aggregations variable_bound cardinality invariant_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 |

neos-4333596-skien | easy | 1005 | 460 | 0 | 545 | 812 | 5811 | Jeff Linderoth | neos-pseudoapplication-43 | -14610731.01 | benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality mixed_binary |

rocI-3-11 | easy | 5132 | 3894 | 762 | 476 | 8165 | 20540 | Joerg Rambau | rocI | -50403 | numerics aggregations precedence variable_bound set_partitioning mixed_binary general_linear |

irish-electricity | easy | 61728 | 9888 | 0 | 51840 | 104259 | 523257 | Paula Carroll | – | 3723497.591396 | benchmark benchmark_suitable precedence variable_bound invariant_knapsack binpacking knapsack mixed_binary |

`No bibliographic information available`

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