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

Simon Felix | 650 | 91 | 3.32713e-02 | hard | fhnw-sq | 0 | fhnw-sq2.mps.gz |

Combinatorial toy fesability problem: Magic square. Instances 1 & 2 are feasible, instance 3 is unknown. Reported to be solved after 46883 seconds with ParaSCIP using 72 cores.

Detailed explanation of the following tables can be found here.

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

Variables | 650 | 650 |

Constraints | 91 | 91 |

Binaries | 625 | 625 |

Integers | 25 | 25 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 25 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.0332713 | 0.0332713 |

Nonzeroes | 1968 | 1968 |

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

Total | 103 | 103 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 4 | 4 |

Variable Bound | 0 | 0 |

Set Partitioning | 50 | 50 |

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 | 12 | 12 |

Mixed Binary | 0 | 0 |

General Linear | 37 | 37 |

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 | 1.342423 | ||||

Constraint % | 1.0989 | 1.51753 | 1.0989 | 7.69231 | |

Variable % | 4.0000 | 4.76190 | 4.0000 | 16.00000 | |

Score | 0.295385 |

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 | 0 | 0 | 0 | 0 | 0 | Yuji Shinano | 2018-11-01 | “Found with ParaSCIP using 72 cores” |

The following instances are most similar to fhnw-sq2 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

fhnw-sq3 | open | 2450 | 2401 | 49 | 0 | 167 | 7372 | Simon Felix | fhnw-sq | no_solution feasibility precedence set_partitioning integer_knapsack general_linear | |

neos-5125849-lopori | easy | 8130 | 8040 | 90 | 0 | 453 | 20938 | Jeff Linderoth | neos-pseudoapplication-42 | 0 | feasibility benchmark_suitable aggregations set_partitioning set_packing equation_knapsack general_linear |

fiball | easy | 34219 | 33960 | 258 | 1 | 3707 | 104792 | MIPLIB submission pool | – | 138 | benchmark decomposition benchmark_suitable aggregations precedence set_partitioning general_linear |

neos-3004026-krka | easy | 17030 | 16900 | 130 | 0 | 12545 | 41860 | Jeff Linderoth | neos-pseudoapplication-38 | 0 | benchmark feasibility benchmark_suitable set_partitioning general_linear |

no-ip-65059 | easy | 2232 | 2187 | 45 | 0 | 2547 | 13590 | Christopher Hojny | noip | Infeasible | infeasible feasibility decomposition benchmark_suitable precedence set_covering general_linear |

`No bibliographic information available`

Last Update Apr 09, 2019 by Gregor Hendel

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