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

Gerald Gamrath | 538777 | 300348 | 6.78393e-06 | open | supplynetworkplanning | 5906642768.072535* | snp-10-004-052.mps.gz |

Supply network planning problems.

Detailed explanation of the following tables can be found here.

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

Variables | 538777 | 445460 |

Constraints | 300348 | 225243 |

Binaries | 815 | 323 |

Integers | 815 | 399 |

Continuous | 537147 | 444738 |

Implicit Integers | 0 | 76 |

Fixed Variables | 1 | 0 |

Nonzero Density | 6.78393e-06 | 9.05138e-06 |

Nonzeroes | 1097780 | 908186 |

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

Total | 300348 | 225243 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 53012 | 0 |

Aggregations | 51917 | 47252 |

Precedence | 0 | 0 |

Variable Bound | 4753 | 3595 |

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 | 189561 | 173988 |

General Linear | 1105 | 408 |

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 | |||||

Constraint % | |||||

Variable % | |||||

Score |

Find solutions below. Download the archive containing all solutions from the Download page.

`## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion`

ID | Objective | Exact | Int. Viol | Cons. Viol | Obj. Viol | Submitter | Date | Description |
---|---|---|---|---|---|---|---|---|

2 | 5906642768 | 0 | 0 | 5.60e-06 | Michael Winkler | 2024-01-16 | Found with Gurobi 11.0.0 on AMD EPYC 7313P 16-Core Processor with 264075352 kB memory. | |

1 | 5906642866 | 0 | 0 | 2.33e-05 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to snp-10-004-052 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

snp-10-052-052 | open | 549021 | 11059 | 11059 | 526903 | 320836 | 1138755 | Gerald Gamrath | supplynetworkplanning | 6059865443.559938* | numerics aggregations variable_bound mixed_binary general_linear |

snp-06-004-052 | open | 328461 | 494 | 494 | 327473 | 183168 | 668716 | Gerald Gamrath | supplynetworkplanning | 1869531794.272782* | numerics aggregations variable_bound mixed_binary general_linear |

snp-02-004-104 | easy | 228350 | 167 | 167 | 228016 | 126512 | 463941 | Gerald Gamrath | supplynetworkplanning | 586803238.6567289 | benchmark benchmark_suitable aggregations variable_bound mixed_binary general_linear |

snp-04-052-052 | open | 221438 | 4546 | 4546 | 212346 | 129662 | 459205 | Gerald Gamrath | supplynetworkplanning | 881873004.9624411* | numerics aggregations variable_bound mixed_binary general_linear |

cost266-UUE | easy | 4161 | 171 | 0 | 3990 | 1446 | 12312 | MIPLIB submission pool | network_design | 25148940.55999998 | benchmark decomposition benchmark_suitable aggregations set_packing mixed_binary |

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