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

Arie Koster | 760 | 8146 | 4.51642e-03 | hard | – | 10 | tw-myciel4.mps.gz |

Model to compute the treewidth of the Mycielski-4 instance from the DIMACS graph coloring database. Solved in June 2013 by CPLEX 12.5.1 (12 threads) in about 66 hours. The solving was performed in two steps: first solving with 50 GB tree memory limit (took 11307.42 seconds), after that, setting the tree memory limit to 80 GB and switching to depth first search (took 226152.14 seconds). Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 760 | 760 |

Constraints | 8146 | 8146 |

Binaries | 759 | 759 |

Integers | 1 | 1 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00451642 | 0.00451642 |

Nonzeroes | 27961 | 27961 |

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

Total | 8146 | 8146 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 71 | 71 |

Precedence | 253 | 253 |

Variable Bound | 435 | 435 |

Set Partitioning | 0 | 0 |

Set Packing | 0 | 0 |

Set Covering | 1771 | 0 |

Cardinality | 0 | 0 |

Invariant Knapsack | 5593 | 7364 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 0 | 0 |

General Linear | 23 | 23 |

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 | 0.4771212 | ||||

Constraint % | 43.4815 | 45.7771 | 45.7771 | 48.0727 | |

Variable % | 33.2895 | 50.0000 | 50.0000 | 66.7105 | |

Score | 0.4500990 |

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

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

The following instances are most similar to tw-myciel4 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

neos-950242 | easy | 5760 | 5520 | 240 | 0 | 34224 | 104160 | NEOS Server Submission | neos-pseudoapplication-72 | 4 | benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning set_covering invariant_knapsack general_linear |

supportcase10 | hard | 14770 | 14770 | 0 | 0 | 165684 | 555082 | Michael Winkler | – | 7 | benchmark binary benchmark_suitable aggregations precedence variable_bound set_covering invariant_knapsack |

genus-sym-grafo5708-48 | open | 3379 | 3377 | 1 | 1 | 20538 | 72579 | Stephan Beyer | genus | -21* | precedence set_partitioning set_covering cardinality invariant_knapsack knapsack general_linear |

supportcase21i | easy | 27 | 24 | 3 | 0 | 7540 | 95325 | Michael Winkler | – | 20 | indicator numerics set_covering invariant_knapsack general_linear |

genus-sym-g62-2 | open | 12912 | 12910 | 1 | 1 | 78472 | 275855 | Stephan Beyer | genus | -38.0* | precedence set_partitioning set_covering cardinality invariant_knapsack knapsack general_linear |

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