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

Arie Koster | 1059 | 8164 | 2.0564e-03 | easy | -- | 10 | pw-myciel4.mps.gz |

Model to compute the pathwidth of Mycielski-4 instance from DIMACS graph coloring database

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 1059 | 1036 |

Constraints | 8164 | 4180 |

Binaries | 1058 | 1035 |

Integers | 1 | 1 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00205640 | 0.00226049 |

Nonzeroes | 17779 | 9789 |

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

Total | 8164 | 4180 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 506 | 483 |

Variable Bound | 7590 | 3630 |

Set Partitioning | 45 | 45 |

Set Packing | 0 | 0 |

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 | 0 | 0 |

General Linear | 23 | 22 |

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 | 0.301030 | ||||

Constraint % | 98.3971 | 98.3971 | 98.3971 | 98.3971 | |

Variable % | 97.6834 | 97.6834 | 97.6834 | 97.6834 | |

Score | 0.022795 |

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

1 | 10 | 10 | 0 | 0 | 0 | - | 2018-10-13 | Solution imported from MIPLIB2010. |

2 | 10 | 10 | 0 | 0 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to pw-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-3696678-lyvia | easy | 7683 | 7516 | 167 | 0 | 9004 | 30452 | Jeff Linderoth | neos-pseudoapplication-56 | 83.749999959 | decomposition variable_bound set_covering cardinality invariant_knapsack mixed_binary general_linear |

tbfp-bigm | hard | 2406 | 2404 | 0 | 2 | 35999 | 74338 | Rob Pratt | -- | 24.163194443 | variable_bound set_partitioning |

neos-5041756-cobark | easy | 60301 | 60000 | 0 | 301 | 30900 | 180900 | Jeff Linderoth | neos-pseudoapplication-12 | Unbounded | decomposition precedence variable_bound set_packing invariant_knapsack mixed_binary |

graphdraw-gemcutter | easy | 166 | 112 | 16 | 38 | 474 | 1420 | Cézar Augusto Nascimento e Silva | graphdraw | 7118.5 | benchmark_suitable variable_bound set_partitioning invariant_knapsack mixed_binary general_linear |

neos-850681 | easy | 2594 | 2479 | 16 | 99 | 2067 | 37113 | NEOS Server Submission | neos-pseudoapplication-12 | 2472 | benchmark_suitable aggregations variable_bound set_partitioning set_packing invariant_knapsack general_linear |

`No bibliographic information available`

Last Update Mai 20, 2021 by Philipp Wellner

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