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

Dimitri Papageorgiou | 109519 | 108566 | 3.66287e-05 | open | maritime | NA | lr2-22dr3-333vc4v17a-t60.mps.gz |

Maritime Inventory Routing Problem Library - Group 1 Instances. These instances are available at https://mirplib.scl.gatech.edu/instances, along with a host of additional information such as the underlying data used to generate the model, best known upper and lower bounds, and more. As of 2012, Group 1 instances gave Cplex and Gurobi tremendous difficulty finding a single feasible solution.

Detailed explanation of the following tables can be found here.

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

Variables | 109519 | 101925 |

Constraints | 108566 | 95614 |

Binaries | 92865 | 89270 |

Integers | 0 | 0 |

Continuous | 16654 | 12655 |

Implicit Integers | 0 | 0 |

Fixed Variables | 892 | 0 |

Nonzero Density | 3.66287e-05 | 4.19024e-05 |

Nonzeroes | 435517 | 408358 |

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

Total | 108566 | 95614 |

Empty | 3094 | 0 |

Free | 0 | 0 |

Singleton | 3081 | 0 |

Aggregations | 0 | 28 |

Precedence | 163 | 138 |

Variable Bound | 79440 | 72896 |

Set Partitioning | 163 | 374 |

Set Packing | 780 | 696 |

Set Covering | 0 | 0 |

Cardinality | 10016 | 9759 |

Invariant Knapsack | 10016 | 9980 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 1813 | 1743 |

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 | 1.892095 | ||||

Constraint % | 0.00209 | 1.26011 | 0.00314 | 11.6730 | |

Variable % | 0.00196 | 1.27834 | 0.00294 | 11.8668 | |

Score | 0.894505 |

No solution available for lr2-22dr3-333vc4v17a-t60 .

The following instances are most similar to lr2-22dr3-333vc4v17a-t60 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.

```
@article{papageorgiou2014mirplib,
title={MIRPLib--A library of maritime inventory routing problem instances: Survey, core model, and benchmark results},
author={Papageorgiou, Dimitri J and Nemhauser, George L and Sokol, Joel and Cheon, Myun-Seok and Keha, Ahmet B},
journal={European Journal of Operational Research},
volume={235},
number={2},
pages={350--366},
year={2014},
publisher={Elsevier}
}
```

Last Update Nov 16, 2020 by Philipp Wellner

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