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

Kerem Akartunali | 4019 | 3747 | 9.12864e-04 | hard | set3 | 124886 | set3-15.mps.gz |

Multi-item lot-sizing with backlogging. The problem was solved with CPLEX 12.4 in approximately 64.5 hours.

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 4019 | 3347 |

Constraints | 3747 | 3390 |

Binaries | 1424 | 752 |

Integers | 0 | 0 |

Continuous | 2595 | 2595 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.000912864 | 0.001093130 |

Nonzeroes | 13747 | 12403 |

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

Total | 3747 | 3390 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 576 | 891 |

Variable Bound | 654 | 612 |

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 | 2517 | 1887 |

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 | 1.230449 | ||||

Constraint % | 0.0294985 | 4.05973 | 3.95280 | 9.58702 | |

Variable % | 0.0746454 | 3.23619 | 3.11023 | 8.16123 | |

Score | 0.624521 |

No solution available for set3-15 .

The following instances are most similar to set3-15 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

set3-09 | open | 4019 | 1424 | 0 | 2595 | 3747 | 13747 | Kerem Akartunali | set3 | 176497.15* | precedence variable_bound mixed_binary |

set3-10 | hard | 4019 | 1424 | 0 | 2595 | 3747 | 13747 | Kerem Akartunali | set3 | 185179.043049708 | precedence variable_bound mixed_binary |

set3-16 | open | 4019 | 1424 | 0 | 2595 | 3747 | 13747 | Kerem Akartunali | set3 | 134040.409752288* | precedence variable_bound mixed_binary |

set3-20 | hard | 4019 | 1424 | 0 | 2595 | 3747 | 13747 | Kerem Akartunali | set3 | 159462.572721458 | precedence variable_bound mixed_binary |

neos-5041822-cockle | open | 227668 | 149313 | 0 | 78355 | 546733 | 1362468 | Jeff Linderoth | neos-pseudoapplication-25 | 5724245.70446761* | aggregations precedence variable_bound set_packing mixed_binary |

```
@article{AkartunaliMiller2009,
author = {Akartunal{\i}, K. and A. J. Miller},
journal = {European Journal of Operational Research},
pages = {396-411},
title = {A Heuristic Approach for Big Bucket Multi-Level Production Planning
Problems},
volume = {193},
year = {2009}
}
@techreport{AkartunaliMiller2010,
author = {Akartunal{\i}, K. and A. J. Miller},
institution = {Optimization Online},
number = {http://www.optimization-online.org/DB_HTML/2007/05/1668.html},
title = {Computational Analysis of Lower Bounds for Big Bucket Production
Planning Problems},
year = {2007}
}
@misc{multilsb,
key = {zzz multilsb},
note = {http://personal.strath.ac.uk/kerem.akartunali/research/multi-lsb/},
title = {{MULTILSB}: {M}ulti-{I}tem {L}ot-{S}izing with {B}acklogging},
year = {2009}
}
```

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