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

Matthew Galati | 6480 | 4380 | 2.07445e-03 | hard | -- | 2463621.57727541 | atm20-100.mps.gz |

ATM cash management problem. Solved with COIN/DIP in 1066 sec. (1 thread) / 259 sec. (8 threads) in June 2011.

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 6480 | 6469 |

Constraints | 4380 | 4369 |

Binaries | 2220 | 2209 |

Integers | 0 | 0 |

Continuous | 4260 | 4260 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00207445 | 0.00208205 |

Nonzeroes | 58878 | 58845 |

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

Total | 4380 | 4369 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 2220 | 2209 |

Set Partitioning | 20 | 20 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 0 | 0 |

Invariant Knapsack | 20 | 20 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 2120 | 2120 |

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 | 1.322219 | ||||

Constraint % | 4.82948 | 4.88556 | 4.89815 | 4.89815 | |

Variable % | 4.95370 | 4.99151 | 5.00000 | 5.00000 | |

Score | 0.928338 |

No solution available for atm20-100 .

The following instances are most similar to atm20-100 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 |

australia-abs-cta | easy | 49758 | 918 | 0 | 48840 | 3946 | 33792 | Jordi Castro | cta | 106.9047 | decomposition numerics aggregations variable_bound 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 |

lotsize | easy | 2985 | 1195 | 0 | 1790 | 1920 | 6565 | Dinakar Gade, Simge Kucukyavuz | -- | 1480195 | benchmark decomposition benchmark_suitable variable_bound set_packing invariant_knapsack mixed_binary |

danoint | easy | 521 | 56 | 0 | 465 | 664 | 3232 | Daniel Bienstock | dano | 65.6666666666 | benchmark_suitable variable_bound cardinality mixed_binary |

```
@phdthesis{Galati2010,
author = {Matthew Galati},
language = {English},
school = {Lehigh University},
title = {Decomposition Methods for Integer Linear Programming},
year = {2010}
}
```

Last Update Nov 16, 2020 by Philipp Wellner

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