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

Andrea Arias | 16440 | 3527 | 2.75258e-03 | easy | cmflsp | 58988866.7484 | cmflsp50-24-10-4.mps.gz |

Capacitated Multi-Family Lot-Sizing Problem Best solution computed wth Gurobi 8.1.1

Detailed explanation of the following tables can be found here.

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

Variables | 16440 | 16232 |

Constraints | 3527 | 3525 |

Binaries | 1440 | 1439 |

Integers | 0 | 0 |

Continuous | 15000 | 14793 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00275258 | 0.00278574 |

Nonzeroes | 159605 | 159394 |

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

Total | 3527 | 3525 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 1200 | 1199 |

Variable Bound | 50 | 49 |

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 | 2277 | 2277 |

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 | 2.382017 | ||||

Constraint % | 0.0567376 | 0.1475180 | 0.1134750 | 0.624113 | |

Variable % | 0.0184820 | 0.0381962 | 0.0308034 | 0.141695 | |

Score | 0.353848 |

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 | 3 | 58988867 | 58988867 | 0 | 0 | 0e+00 | Hans Mittelmann | 2020-05-17 | Solved with Gurobi 9.0 using 48 Threads within 23 minutes. |

3 | 2 | 58988867 | 0 | 0 | 0e+00 | Hans Mittelmann | 2019-11-15 | Computed wth Gurobi 8.1.1 in 1436 seconds | |

2 | 1 | 58988867 | 58988867 | 0 | 0 | 1e-07 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to cmflsp50-24-10-4 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

cmflsp40-24-10-7 | hard | 13200 | 1200 | 0 | 12000 | 2825 | 127736 | Andrea Arias | cmflsp | 51664409.2721 | precedence variable_bound mixed_binary |

cmflsp50-24-8-8 | easy | 16392 | 1392 | 0 | 15000 | 3520 | 158622 | Andrea Arias | cmflsp | 55789389.886 | benchmark benchmark_suitable precedence variable_bound mixed_binary |

cmflsp60-36-2-6 | open | 42192 | 2232 | 0 | 39960 | 6388 | 581335 | Andrea Arias | cmflsp | 73924742.8388186* | precedence variable_bound mixed_binary |

cmflsp40-36-2-10 | open | 28152 | 1512 | 0 | 26640 | 4266 | 386432 | Andrea Arias | cmflsp | 66456407.5181282* | precedence variable_bound mixed_binary |

neos-933638 | easy | 32417 | 28637 | 0 | 3780 | 13658 | 187173 | NEOS Server Submission | neos-pseudoapplication-34 | 276 | benchmark_suitable precedence variable_bound set_packing invariant_knapsack mixed_binary |

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Last Update Nov 16, 2020 by Philipp Wellner

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