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

Dan Neiman | 2184028 | 1766257 | 2.7128e-06 | open | – | -1101300.6521* | rfds-4-days.mps.gz |

Flight scheduling model, anonymized. The most prominent aspect of this model is that it attempts to find an optimal schedule for a small (14) fleet of planes over a four day period, broken down into 96 hourly periods. Planes have 14 states (in-flight, or at one of 13 locations). Goal is to satisfy passenger demand with minimal cost and minimal violation of priority requests. Takes a considerable length of time (2+ hours) to find first integer solution using CPLEX.

Detailed explanation of the following tables can be found here.

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

Variables | 2184028 | 1536989 |

Constraints | 1766257 | 1333421 |

Binaries | 190080 | 184943 |

Integers | 0 | 3822 |

Continuous | 1993948 | 1348224 |

Implicit Integers | 0 | 3822 |

Fixed Variables | 27942 | 0 |

Nonzero Density | 2.71280e-06 | 3.19785e-06 |

Nonzeroes | 10464800 | 6553850 |

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

Total | 1766257 | 1333421 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 88071 | 0 |

Aggregations | 1069032 | 1038078 |

Precedence | 3072 | 0 |

Variable Bound | 1746 | 0 |

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 | 604336 | 291521 |

General Linear | 0 | 3822 |

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.

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

1 | -1101301 | 0 | 1e-07 | 0 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to rfds-4-days 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 | Variables | Binaries | Integers | Continuous | Constraints | Nonz. | Submitter | Group | Status | Objective |
---|---|---|---|---|---|---|---|---|---|---|

neos-4545615-waita | 654950 | 654930 | 0 | 20 | 345152 | 10670200 | Jeff Linderoth | neos-pseudoapplication-31 | open | |

gasprod2-1 | 29568 | 7389 | 0 | 22179 | 73448 | 282846 | Andrew Stamps | gasprod | easy | 1628548.2968 |

neos-4562542-watut | 134705 | 134694 | 0 | 11 | 73746 | 2015540 | Jeff Linderoth | neos-pseudoapplication-31 | open | 6650* |

neos-4533806-waima | 93318 | 93304 | 0 | 14 | 52983 | 1250570 | Jeff Linderoth | neos-pseudoapplication-31 | open | 4870* |

neos-4555749-wards | 89147 | 89130 | 0 | 17 | 51776 | 1263380 | Jeff Linderoth | neos-pseudoapplication-31 | open | 3759* |

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Last Update Nov 30, 2018 by Gregor Hendel

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