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

Andrew Stamps | 10920 | 27695 | 6.65769e-04 | open | gasprod | 291.51163698498203* | gasprod1-1.mps.gz |

Production planning model for an industrial gas process. Three instances of the model included.

Detailed explanation of the following tables can be found here.

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

Variables | 10920 | 7594 |

Constraints | 27695 | 15684 |

Binaries | 4053 | 2174 |

Integers | 0 | 0 |

Continuous | 6867 | 5420 |

Implicit Integers | 0 | 0 |

Fixed Variables | 819 | 0 |

Nonzero Density | 0.000665769 | 0.000835486 |

Nonzeroes | 201348 | 99510 |

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

Total | 27695 | 15684 |

Empty | 626 | 0 |

Free | 0 | 0 |

Singleton | 860 | 0 |

Aggregations | 1360 | 688 |

Precedence | 3298 | 2624 |

Variable Bound | 4226 | 2837 |

Set Partitioning | 0 | 0 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 0 | 0 |

Invariant Knapsack | 4067 | 2336 |

Equation Knapsack | 0 | 0 |

Bin Packing | 3191 | 1560 |

Knapsack | 346 | 317 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 9721 | 5322 |

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 | 2.517196 | ||||

Constraint % | 0.0064900 | 0.199558 | 0.0064900 | 27.5217 | |

Variable % | 0.0207727 | 0.166277 | 0.0207727 | 16.1197 | |

Score | 0.581327 |

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

3 | 291.5116 | 2e-07 | 1e-06 | 0 | Hans Mittelmann | 2022-01-10 | ||

2 | 291.5227 | 0e+00 | 9e-07 | 0 | Robert Ashford and Alkis Vazacopoulus | 2019-12-18 | Found using ODH|CPlex | |

1 | 291.5247 | 0e+00 | 1e-06 | 0 | - | 2018-10-10 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to gasprod1-1 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.

`No bibliographic information available`

Last Update 2024 by Julian Manns

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