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

Dinakar Gade, Simge Kucukyavuz | 2985 | 1920 | 1.14548e-03 | easy | – | 1480195 | lotsize.mps.gz |

Multi-item lot sizing with service level constraints

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 2985 | 2985 |

Constraints | 1920 | 1920 |

Binaries | 1195 | 1195 |

Integers | 0 | 0 |

Continuous | 1790 | 1790 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00114548 | 0.00114548 |

Nonzeroes | 6565 | 6565 |

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

Total | 1920 | 1920 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 1195 | 1195 |

Set Partitioning | 0 | 0 |

Set Packing | 120 | 120 |

Set Covering | 0 | 0 |

Cardinality | 0 | 0 |

Invariant Knapsack | 5 | 5 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 600 | 600 |

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 | 0.7781512 | ||||

Constraint % | 18.75 | 18.75 | 18.75 | 18.75 | |

Variable % | 20.00 | 20.00 | 20.00 | 20.00 | |

Score | 0.7500000 |

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 | 1480195 | 1480195 | 0 | 0 | 0 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

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

mtest4ma | easy | 1950 | 975 | 0 | 975 | 1174 | 4875 | MIPLIB submission pool | – | 52148 | decomposition variable_bound set_packing mixed_binary |

beavma | easy | 390 | 195 | 0 | 195 | 372 | 975 | MIPLIB submission pool | – | 383285 | decomposition aggregations variable_bound set_packing mixed_binary |

neos-3072252-nete | easy | 576 | 144 | 0 | 432 | 432 | 1292 | Jeff Linderoth | neos-pseudoapplication-50 | 11807698 | benchmark_suitable variable_bound invariant_knapsack mixed_binary |

sp150x300d | easy | 600 | 300 | 0 | 300 | 450 | 1200 | MIPLIB submission pool | sp_product | 69 | benchmark decomposition benchmark_suitable aggregations variable_bound mixed_binary |

neos-4290317-perth | open | 54708 | 1042 | 0 | 53666 | 65580 | 398380 | Jeff Linderoth | neos-pseudoapplication-76 | 3017324.03186391* | decomposition numerics aggregations precedence variable_bound mixed_binary |

```
@techreport{GadeKucukyavuz2010,
author = {D. Gade and S. K{\"u}{\c{c}}{\"u}kyavuz},
institution = {Optimization Online},
number = {http://www.optimization-online.org/DB_HTML/2010/12/2844.html},
title = {Deterministic lot sizing with Service Levels},
year = {2010}
}
```

Last Update Feb 25, 2020 by Gabriel Kressin

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