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

J. Linderoth | 65832 | 100 | 1.4573e-01 | easy | eil | 880.9201079999999 | eilA101-2.mps.gz |

Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 65832 | 65832 |

Constraints | 100 | 100 |

Binaries | 65832 | 65832 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.14573 | 0.14573 |

Nonzeroes | 959373 | 959373 |

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

Total | 100 | 100 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 0 | 0 |

Set Partitioning | 100 | 100 |

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 | 0 | 0 |

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 | 0.30103 | ||||

Constraint % | 100 | 100 | 100 | 100 | |

Variable % | 100 | 100 | 100 | 100 | |

Score | 0.00000 |

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 | 880.9201 | 803.3739 | 0 | 0 | 0 | - | 2018-10-12 | Solution imported from MIPLIB2010. |

2 | 880.9201 | 803.3739 | 0 | 0 | 0 | - | 2018-10-12 | Solution imported from MIPLIB2010. |

3 | 880.9201 | 803.3739 | 0 | 0 | 0 | - | 2018-10-29 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to eilA101-2 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

eilC76-2 | easy | 28599 | 28599 | 0 | 0 | 75 | 314837 | J. Linderoth | eil | 762.514781999996 | binary benchmark_suitable set_partitioning |

nw04 | easy | 87482 | 87482 | 0 | 0 | 36 | 636666 | MIPLIB submission pool | -- | 16862 | benchmark binary benchmark_suitable set_partitioning |

ivu06 | open | 787239 | 787239 | 0 | 0 | 1177 | 8032303 | S. Weider | ivu | 142.86* | binary set_partitioning |

ds-big | open | 174997 | 174997 | 0 | 0 | 1042 | 4623442 | Steffen Weider | -- | 195.498997075249* | binary set_partitioning |

ivu06-big | open | 2277736 | 2277736 | 0 | 0 | 1177 | 23125770 | S. Weider | ivu | 140.74* | binary set_partitioning |

```
@article{LinderothLeeSavelsbergh2001,
author = {J. T. Linderoth and E. K. Lee and M. W. P. Savelsbergh},
journal = {{INFORMS} Journal on Computing},
pages = {191-209},
title = {A Parallel, Linear Programming Based Heuristic for
Large Scale Set Partitioning Problems},
volume = {13},
year = {2001}
}
@misc{tsplib,
key = {zzz tsplib},
note = {http://comopt.ifi.uni-heidelberg.de/software/TSPLIB95/},
title = {TSPLIB},
year = {2008}
}
```

Last Update Dec 06, 2022 by Jan Krüger

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