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

M. Vyve, Y. Pochet | 3648 | 3312 | 8.42398e-04 | easy | c1s1 | 11503.444125 | a1c1s1.mps.gz |

Lot sizing instance. Alkis Vazacopoulos reports solving this instance using XPRESS 2006B. Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 3648 | 3648 |

Constraints | 3312 | 3312 |

Binaries | 192 | 192 |

Integers | 0 | 0 |

Continuous | 3456 | 3456 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.000842398 | 0.000842398 |

Nonzeroes | 10178 | 10178 |

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

Total | 3312 | 3312 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 6 | 6 |

Precedence | 0 | 0 |

Variable Bound | 1968 | 1968 |

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 | 1338 | 1338 |

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 | 1.792392 | ||||

Constraint % | 0.0301932 | 1.10478 | 1.47947 | 16.2138 | |

Variable % | 0.3289470 | 1.15401 | 1.34320 | 14.8849 | |

Score | 0.642879 |

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 | 11503.44 | 997.5296 | 0 | 0 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to a1c1s1 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

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

b1c1s1 | easy | 3872 | 288 | 0 | 3584 | 3904 | 11408 | M. Vyve, Y. Pochet | c1s1 | 24544.25 | benchmark benchmark_suitable aggregations variable_bound mixed_binary |

b2c1s1 | easy | 3872 | 288 | 0 | 3584 | 3904 | 11408 | M. Vyve, Y. Pochet | c1s1 | 25687.9 | 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 |

```
@article{FischettiLodi2003,
author = {Fischetti, Matteo and Lodi, Andrea},
issn = {0025-5610},
issue = {1},
journal = {Mathematical Programming},
keyword = {Mathematics and Statistics},
pages = {23-47},
publisher = {Springer},
title = {Local branching},
volume = {98},
year = {2003}
}
@article{PochetVyve2004,
author = {Y. Pochet and M. Van Vyve},
instance = {a1c1s1,tr12-30},
journal = {INFORMS Journal on Computing},
language = {English},
number = {3},
title = {A General Heuristic for Production Planning Problems},
volume = {16},
year = {2004}
}
```

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