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

Dmitry Krushinsky | 29605 | 29406 | 1.01561e-04 | hard | rmatr | 837 | rmatr200-p20.mps.gz |

Instance coming from a formulation of the p-Median problem using square cost matrices. Solved using ug[SCIP/spx], a distributed massively parallel version of SCIP run on 2,000 cores at the HLRN-II super computer facility. Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 29605 | 29605 |

Constraints | 29406 | 29406 |

Binaries | 200 | 200 |

Integers | 0 | 0 |

Continuous | 29405 | 29405 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.000101561 | 0.000101561 |

Nonzeroes | 88415 | 88415 |

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

Total | 29406 | 29406 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 0 | 0 |

Set Partitioning | 0 | 0 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 1 | 1 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 29405 | 29405 |

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 | 0.301030 | ||||

Constraint % | 0.003400 | 0.003400 | 0.003400 | 0.003400 | |

Variable % | 0.675562 | 0.675562 | 0.675562 | 0.675562 | |

Score | 0.000034 |

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 |
---|---|---|---|---|---|---|---|---|

2 | 837 | 837 | 0 | 0 | 0 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

1 | 837 | 837 | 0 | 0 | 0 | - | 2018-10-12 | Solution imported from MIPLIB2010. |

The following instances are most similar to rmatr200-p20 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

rmatr200-p10 | hard | 35254 | 200 | 0 | 35054 | 35055 | 105362 | Dmitry Krushinsky | rmatr | 2017 | cardinality mixed_binary |

rmatr200-p5 | easy | 37816 | 200 | 0 | 37616 | 37617 | 113048 | Dmitry Krushinsky | rmatr | 4521 | benchmark benchmark_suitable cardinality mixed_binary |

rmatr100-p5 | easy | 8784 | 100 | 0 | 8684 | 8685 | 26152 | Dmitry Krushinsky | rmatr | 976 | benchmark_suitable cardinality mixed_binary |

rmatr100-p10 | easy | 7359 | 100 | 0 | 7259 | 7260 | 21877 | Dmitry Krushinsky | rmatr | 423 | benchmark benchmark_suitable cardinality mixed_binary |

neos-3665875-lesum | easy | 3128 | 320 | 0 | 2808 | 3184 | 10640 | Jeff Linderoth | neos-pseudoapplication-9 | 3274.81 | benchmark_suitable set_covering invariant_knapsack mixed_binary |

```
@article{GoldengorinKrushinsky2011,
author = {B. Goldengorin and D. Krushinsky},
journal = {Mathematical and Computer Modelling},
number = {9--10},
pages = {1719--1736},
title = {Complexity evaluation of benchmark instances for the p-median problem},
volume = {53},
year = {2011}
}
@techreport{ShinanoAchterbergBertholdHeinzKoch2010TR,
author = {Yuji Shinano and Tobias Achterberg and Timo Berthold and
Stefan Heinz and Thorsten Koch},
institution = {Zuse Institute Berlin},
number = {ZR 10-27},
title = {Para{SCIP} -- a parallel extension of {SCIP}},
year = {2010}
}
```

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