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

Jon Dattorro | 262144 | 11077 | 5.17855e-04 | open | – | NA | datt256.mps.gz |

Model to find solution to the ``Eternity II’’ puzzle

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 262144 | 196147 |

Constraints | 11077 | 9865 |

Binaries | 262144 | 196147 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.000517855 | 0.000581615 |

Nonzeroes | 1503730 | 1125420 |

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

Total | 11077 | 9865 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 4 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 0 | 0 |

Set Partitioning | 512 | 750 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 10560 | 9115 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 1 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 0 | 0 |

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 | 0.301030 | ||||

Constraint % | 92.3974 | 92.3974 | 92.3974 | 92.3974 | |

Variable % | 99.9954 | 99.9954 | 99.9954 | 99.9954 | |

Score | 0.000042 |

No solution available for datt256 .

The following instances are most similar to datt256 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

tbfp-network | easy | 72747 | 72747 | 0 | 0 | 2436 | 215837 | Rob Pratt | – | 24.16319444 | benchmark binary benchmark_suitable set_partitioning cardinality |

s100 | hard | 364417 | 364417 | 0 | 0 | 14733 | 1777920 | Daniel Espinoza | Spinoza | -0.1697235270583 | benchmark binary benchmark_suitable aggregations set_partitioning set_packing cardinality invariant_knapsack knapsack |

neos-826224 | easy | 41820 | 27540 | 0 | 14280 | 17266 | 127840 | NEOS Server Submission | neos-pseudoapplication-87 | 121 | decomposition set_partitioning set_packing cardinality binpacking mixed_binary |

neos-4531126-vouga | open | 169996 | 169996 | 0 | 0 | 7694 | 967980 | Jeff Linderoth | neos-pseudoapplication-87 | 525053.6089188* | binary decomposition numerics set_partitioning cardinality invariant_knapsack binpacking mixed_binary |

supportcase6 | easy | 130052 | 130051 | 1 | 0 | 771 | 584976 | Michael Winkler | – | 51906.47737 | benchmark benchmark_suitable set_partitioning cardinality general_linear |

```
@book{Dattorro2011,
author = {Jon Dattorro},
publisher = {Meboo Publishing USA},
title = {Convex Optimization \& Euclidean Distance Geometry},
year = {2011}
}
@misc{dattorroeternity,
key = {zzz dattorro},
note = {http://www.convexoptimization.com/wikimization/index.php/Dattorro_Convex_Optimization_of_Eternity_II},
title = {Convex Optimization of Eternity II},
year = {2011}
}
@misc{eternityii,
key = {zzz eternityii},
note = {http://www.eternityii.com},
title = {{Eternity II} puzzle},
year = {2007}
}
```

Last Update Feb 25, 2020 by Gabriel Kressin

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