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

Gerald Gamrath | 221438 | 129662 | 1.59934e-05 | open | supplynetworkplanning | 881873004.9624411* | snp-04-052-052.mps.gz |

Supply network planning problems.

Detailed explanation of the following tables can be found here.

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

Variables | 221438 | 185036 |

Constraints | 129662 | 99960 |

Binaries | 4546 | 4364 |

Integers | 4546 | 4676 |

Continuous | 212346 | 175996 |

Implicit Integers | 0 | 312 |

Fixed Variables | 1 | 0 |

Nonzero Density | 1.59934e-05 | 2.08281e-05 |

Nonzeroes | 459205 | 385241 |

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

Total | 129662 | 99960 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 21459 | 0 |

Aggregations | 20891 | 19155 |

Precedence | 0 | 0 |

Variable Bound | 10339 | 9903 |

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 | 70916 | 65116 |

General Linear | 6057 | 5786 |

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 | 4.280168 | ||||

Constraint % | 0.00100 | 0.00183 | 0.00100 | 15.70330 | |

Variable % | 0.00108 | 0.00158 | 0.00108 | 9.49041 | |

Score | 0.333674 |

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

4 | 881873005 | 4e-07 | 4e-07 | 4.0e-07 | Michael Winkler | 2024-01-16 | Found with Gurobi 11.0.0 on AMD EPYC 7313P 16-Core Processor with 264075352 kB memory. | |

3 | 885202237 | 0e+00 | 0e+00 | 2.0e-07 | Edward Rothberg | 2020-04-22 | Obtained with Gurobi 9.0 using the solution improvement heuristic | |

2 | 918354458 | 1e-07 | 1e-07 | 3.0e-07 | Edward Rothberg | 2019-12-13 | Obtained with Gurobi 9.0 | |

1 | 951577638 | 0e+00 | 0e+00 | 7.1e-06 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to snp-04-052-052 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-10-004-052 | open | 538777 | 815 | 815 | 537147 | 300348 | 1097779 | Gerald Gamrath | supplynetworkplanning | 5906642768.072535* | numerics aggregations variable_bound mixed_binary general_linear |

gasprod2-1 | easy | 29568 | 7389 | 0 | 22179 | 73448 | 282846 | Andrew Stamps | gasprod | 1628548.2968 | numerics aggregations precedence variable_bound invariant_knapsack binpacking mixed_binary |

`No bibliographic information available`

Last Update 2024 by Julian Manns

generated with R Markdown

© by Zuse Institute Berlin (ZIB)

Imprint