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

Tamas Terlaky | 5698 | 12243 | 4.61206e-04 | open | milo | 1154036.6298 | milo-v12-6-r1-75-1.mps.gz |

The models come from structural design optimization where the objective is to minimize the total weight of 2 and 3 dimensional cantilevers. The 2D examples are simpler, and GuRobi can solve the 40_1 and 58_1 instances, while struggles with 75_1. The 3D examples are more challenging. The x_0 and x_1 models are two different modeling of the same identical problems, so their optimal value is the same. The 1_x and 2_x problems are solved by GuRoBi, the 3_x and 4_x are not solved in reasonable time.

Detailed explanation of the following tables can be found here.

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

Variables | 5698 | 5698 |

Constraints | 12243 | 11473 |

Binaries | 1925 | 1925 |

Integers | 0 | 385 |

Continuous | 3773 | 3388 |

Implicit Integers | 0 | 385 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.000461206 | 0.000480381 |

Nonzeroes | 32174 | 31404 |

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

Total | 12243 | 11473 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 770 | 0 |

Aggregations | 391 | 391 |

Precedence | 1540 | 1540 |

Variable Bound | 4235 | 4235 |

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 | 5307 | 4922 |

General Linear | 0 | 385 |

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 | 2.363612 | ||||

Constraint % | 0.235335 | 0.414432 | 0.235335 | 38.3160 | |

Variable % | 0.228150 | 0.434783 | 0.228150 | 38.5574 | |

Score | 0.802340 |

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 | 1154037 | 1154037 | 0 | 0 | 0 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to milo-v12-6-r1-75-1 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.

Instance | Variables | Binaries | Integers | Continuous | Constraints | Nonz. | Submitter | Group | Status | Objective |
---|---|---|---|---|---|---|---|---|---|---|

milo-v12-6-r1-58-1 | 4440 | 1500 | 0 | 2940 | 9540 | 25068 | Tamas Terlaky | milo | open | 634205.24671* |

milo-v12-6-r2-40-1 | 2688 | 840 | 0 | 1848 | 5628 | 14604 | Tamas Terlaky | milo | easy | 326481.14282799 |

milo-v13-4-3d-4-0 | 688 | 160 | 0 | 528 | 1328 | 3292 | Tamas Terlaky | milo | open | 363892.969282453* |

milo-v13-4-3d-3-0 | 516 | 120 | 0 | 396 | 996 | 2456 | Tamas Terlaky | milo | open | 273238.08563337* |

neos-4292145-piako | 32950 | 13370 | 0 | 19580 | 75834 | 190186 | Jeff Linderoth | neos-pseudoapplication-57 | open | 112705.8* |

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Last Update Nov 09, 2018 by Gregor Hendel

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