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

G. Gamrath | 9685 | 9616 | 3.17198e-04 | easy | – | -3063103721.717 | transportmoment.mps.gz |

Transport momentum maximization in a capacitated gas network, cycles are forbidden by pseudo pressures. Solved by Gurobi 4.6.1 (12 threads) in 30 seconds (January 2012). Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 9685 | 9048 |

Constraints | 9616 | 9018 |

Binaries | 2456 | 2254 |

Integers | 0 | 0 |

Continuous | 7229 | 6794 |

Implicit Integers | 0 | 0 |

Fixed Variables | 39 | 0 |

Nonzero Density | 0.000317198 | 0.000337105 |

Nonzeroes | 29541 | 27506 |

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

Total | 9616 | 9018 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 507 | 603 |

Precedence | 0 | 0 |

Variable Bound | 4912 | 4508 |

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 | 4197 | 3907 |

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 | 3.217221 | ||||

Constraint % | 0.0117412 | 0.0433528 | 0.0234824 | 1.49114 | |

Variable % | 0.0216849 | 0.0498700 | 0.0325274 | 1.65890 | |

Score | 0.712702 |

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 | -3063103722 | -3063102792 | 1e-06 | 0 | 0.0003322 | - | 2018-10-11 | Solution imported from MIPLIB2010. |

1 | -3063103549 | -3063102792 | 0e+00 | 0 | 0.0000003 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to transportmoment 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

maxgasflow | easy | 7437 | 2456 | 0 | 4981 | 7160 | 19717 | G. Gamrath | – | -44565819.31886 | decomposition numerics aggregations variable_bound mixed_binary |

dsbmip | easy | 1886 | 192 | 0 | 1694 | 1182 | 7366 | MIPLIB submission pool | – | -305.19817501 | aggregations precedence variable_bound set_partitioning mixed_binary |

neos-5078479-escaut | easy | 3471 | 1330 | 0 | 2141 | 3442 | 9062 | Jeff Linderoth | neos-pseudoapplication-35 | 9682.338178668055 | benchmark_suitable aggregations variable_bound mixed_binary |

b2c1s1 | easy | 3872 | 288 | 0 | 3584 | 3904 | 11408 | M. Vyve, Y. Pochet | c1s1 | 25687.9 | aggregations variable_bound mixed_binary |

b1c1s1 | easy | 3872 | 288 | 0 | 3584 | 3904 | 11408 | M. Vyve, Y. Pochet | c1s1 | 24544.25 | benchmark benchmark_suitable aggregations variable_bound mixed_binary |

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