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

MIPLIB submission pool | 27342 | 14427 | 1.32318e-03 | easy | triptim | 2566.02 | triptim7.mps.gz |

Trip timetable optimization problem. Imported from the MIPLIB2010 submissions. Solved in 12470s on 4 cores using Gurobi 9.0. 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 | 27342 | 24261 |

Constraints | 14427 | 14415 |

Binaries | 18619 | 15560 |

Integers | 8716 | 8698 |

Continuous | 7 | 3 |

Implicit Integers | 0 | 0 |

Fixed Variables | 8 | 0 |

Nonzero Density | 0.00132318 | 0.00145729 |

Nonzeroes | 521944 | 509648 |

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

Total | 14427 | 14415 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 3 | 0 |

Aggregations | 14 | 11 |

Precedence | 1 | 0 |

Variable Bound | 6 | 4 |

Set Partitioning | 0 | 16 |

Set Packing | 1898 | 1898 |

Set Covering | 3784 | 1890 |

Cardinality | 0 | 0 |

Invariant Knapsack | 5 | 1897 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 2 | 2 |

General Linear | 8714 | 8697 |

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 | 1.146128 | ||||

Constraint % | 0.00694 | 3.04277 | 0.0069400 | 20.2359 | |

Variable % | 0.00824 | 3.24991 | 0.0123655 | 19.6694 | |

Score | 0.319708 |

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 |
---|---|---|---|---|---|---|---|---|

2 | 2566.02 | 0 | 0 | 0 | Edward Rothberg | 2019-12-18 | Optimal solution found with Gurobi 9.0 in 12500s on 4 cores | |

1 | 2566.02 | 2566.02 | 0 | 0 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to triptim7 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.

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Last Update 2024 by Julian Manns

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