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

Simon Felix | 8100 | 8184 | 5.36443e-04 | open | – | -497* | xmas10-2.mps.gz |

Another formulation of an FHNW puzzle (Mix of longest path and flow problem) (Known bounds: 497-511)

Detailed explanation of the following tables can be found here.

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

Variables | 8100 | 5980 |

Constraints | 8184 | 6111 |

Binaries | 900 | 708 |

Integers | 0 | 0 |

Continuous | 7200 | 5272 |

Implicit Integers | 0 | 0 |

Fixed Variables | 1884 | 0 |

Nonzero Density | 0.000536443 | 0.000707480 |

Nonzeroes | 35561 | 25854 |

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

Total | 8184 | 6111 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 240 | 0 |

Aggregations | 3504 | 2661 |

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 | 2699 | 1510 |

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 | 3.413970 | ||||

Constraint % | 0.016372 | 0.0293029 | 0.016372 | 32.1054 | |

Variable % | 0.033173 | 0.0382519 | 0.033173 | 11.7432 | |

Score | 0.721965 |

Find solutions below. Download the archive containing all solutions from the Download page.

`## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion`

ID | Objective | Exact | Int. Viol | Cons. Viol | Obj. Viol | Submitter | Date | Description |
---|---|---|---|---|---|---|---|---|

3 | -497 | -497 | 0 | 0 | 0 | DeepMind | 2020-08-12 | Obtained with machine learning-based large neighborhood search. |

2 | -495 | 0 | 0 | 0 | Edward Rothberg | 2019-12-13 | Obtained with Gurobi 9.0 | |

1 | -489 | -489 | 0 | 0 | 0 | - | 2018-10-10 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to xmas10-2 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 | open | 8100 | 900 | 0 | 7200 | 9080 | 43635 | Simon Felix | – | -497.0* | 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 |

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 |

a1c1s1 | easy | 3648 | 192 | 0 | 3456 | 3312 | 10178 | M. Vyve, Y. Pochet | c1s1 | 11503.444125 | benchmark_suitable aggregations variable_bound mixed_binary |

a2c1s1 | easy | 3648 | 192 | 0 | 3456 | 3312 | 10178 | M. Vyve, Y. Pochet | c1s1 | 10889.137625 | benchmark_suitable aggregations variable_bound mixed_binary |

`No bibliographic information available`

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