Name | queens-30 |

Download | queens-30.mps.gz |

Solution | queens-30.sol.gz |

Set Membership | Challenge |

Problem Status | Hard |

Problem Feasibility | Feasible |

Originator/Contributor | A. Mahajan |

Rows | 960 |

Cols | 900 |

Num. non-zeros in A | 93440 |

Num. non-zeros in c | 900 |

Rows/Cols | 1.06666666667 |

Integers | |

Binaries | 900 |

Continuous | |

min nonzero |Aij| | 1 |

max |Aij| | 7 |

min nonzero |cj| | 1 |

max |cj| | 1 |

Integer Objective | -40 |

LP Objective | -70.912689 |

Aggregation | |

Variable Bound | |

Set partitioning | |

Set packing | |

Set covering | |

Cardinality | |

Equality Knapsacks | |

Bin packing | |

Invariant Knapsack | |

Knapsacks | 960 |

Integer Knapsack | |

Mixed 0/1 | |

General Cons. | |

References | queenschallenge |

Models the problem of placing as many queens on a 30 by 30 chess board as possible so that each queen threatens at most one other queen. The problem and a proof of the optimal solution value are stated in queenschallenge

Last Update February 28, 2017 by Gerald Gamrath

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