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

M. Vyve, Y. Pochet | 3872 | 3904 | 7.54683e-04 | easy | c1s1 | 24544.25 | b1c1s1.mps.gz |

Lot sizing instance.

Imported from the MIPLIB2010 submissions.

Detailed explanation of the following tables can be found here.

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

Variables | 3872 | 3872 |

Constraints | 3904 | 3904 |

Binaries | 288 | 288 |

Integers | 0 | 0 |

Continuous | 3584 | 3584 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.000754683 | 0.000754683 |

Nonzeroes | 11408 | 11408 |

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

Total | 3904 | 3904 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 16 | 16 |

Precedence | 0 | 0 |

Variable Bound | 2560 | 2560 |

Set Partitioning | 0 | 0 |

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 | 1328 | 1328 |

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 | 1.505150 | ||||

Constraint % | 1.66496 | 2.43258 | 1.66496 | 25.4611 | |

Variable % | 1.18802 | 2.42602 | 2.11777 | 25.6198 | |

Score | 0.680612 |

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 | 24544.25 | 24544.25 | 0 | 0 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

2 | 24544.25 | 24544.25 | 0 | 0 | 0 | Ed Klotz | 2020-02-02 | Solved with CPLEX 12.10 using default settings and 12 Threads within 48 minutes. |

The following instances are most similar to b1c1s1 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

b2c1s1 | hard | 3872 | 288 | 0 | 3584 | 3904 | 11408 | M. Vyve, Y. Pochet | c1s1 | 25687.9 | aggregations variable_bound mixed_binary |

a1c1s1 | easy | 3648 | 192 | 0 | 3456 | 3312 | 10178 | M. Vyve, Y. Pochet | c1s1 | 11503.444125 | benchmark_suitable aggregations variable_bound mixed_binary |

a2c1s1 | easy | 3648 | 192 | 0 | 3456 | 3312 | 10178 | M. Vyve, Y. Pochet | c1s1 | 10889.137625 | benchmark_suitable aggregations variable_bound mixed_binary |

unitcal_7 | easy | 25755 | 2856 | 0 | 22899 | 48939 | 127595 | R. O'Neill | -- | 19635558.244 | benchmark benchmark_suitable precedence variable_bound mixed_binary general_linear |

exp-1-500-5-5 | easy | 990 | 250 | 0 | 740 | 550 | 1980 | MIPLIB submission pool | exp_and_fc | 65887 | benchmark benchmark_suitable variable_bound set_packing mixed_binary |

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Last Update Mai 20, 2021 by Philipp Wellner

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