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

Gerald Lach | 2256 | 1973 | 2.27967e-03 | easy | -- | 314 | uct-subprob.mps.gz |

Subproblem of a university course timetabling problem. Switched to "easy" because it was solved by Gurobi 5.0 in 2106 seconds (May 2012).

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 2256 | 2216 |

Constraints | 1973 | 1885 |

Binaries | 379 | 379 |

Integers | 0 | 750 |

Continuous | 1877 | 1087 |

Implicit Integers | 0 | 750 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00227967 | 0.00238631 |

Nonzeroes | 10147 | 9968 |

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

Total | 1973 | 1885 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 20 | 0 |

Aggregations | 131 | 131 |

Precedence | 0 | 0 |

Variable Bound | 91 | 42 |

Set Partitioning | 0 | 750 |

Set Packing | 6 | 6 |

Set Covering | 0 | 0 |

Cardinality | 0 | 0 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 1725 | 956 |

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 | 0.845098 | ||||

Constraint % | 7.90451 | 8.21397 | 8.24934 | 8.38196 | |

Variable % | 8.98927 | 9.39177 | 9.45886 | 9.61538 | |

Score | 0.446533 |

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

3 | 314 | 314 | 0 | 0 | 0 | - | 2018-10-29 | Solution found during MIPLIB2017 problem selection. |

1 | 314 | 314 | 0 | 0 | 0 | - | 2018-10-12 | Solution imported from MIPLIB2010. |

2 | 314 | 314 | 0 | 0 | 0 | - | 2018-10-29 | Solution imported from MIPLIB2010. |

The following instances are most similar to uct-subprob 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

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

probportfolio | hard | 320 | 300 | 0 | 20 | 302 | 6620 | Feng Qiu | -- | 16.734246764 | invariant_knapsack mixed_binary |

air04 | easy | 8904 | 8904 | 0 | 0 | 823 | 72965 | G. Astfalk | air | 56137 | binary benchmark_suitable aggregations set_partitioning |

air05 | easy | 7195 | 7195 | 0 | 0 | 426 | 52121 | G. Astfalk | air | 26374 | benchmark binary benchmark_suitable set_partitioning |

neos-911970 | easy | 888 | 840 | 0 | 48 | 107 | 3408 | NEOS Server Submission | neos-pseudoapplication-70 | 54.76 | benchmark benchmark_suitable set_partitioning set_covering mixed_binary |

`No bibliographic information available`

Last Update Nov 16, 2020 by Philipp Wellner

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