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

C. Cardonha | 199999 | 198450 | 1.63352e-05 | easy | -- | 81 | vpphard2.mps.gz |

Vehicle positioning problem instance. Solved using CPLEX 12.4 in 43987 seconds (May 2012). Solved using Gurobi 5.6.2 in 124 seconds (May 2014).Solved using CPLEX 12.6 in 225 seconds (May 2014).

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 199999 | 139234 |

Constraints | 198450 | 136760 |

Binaries | 199999 | 139234 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 1.63352e-05 | 2.99166e-05 |

Nonzeroes | 648340 | 569661 |

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

Total | 198450 | 136760 |

Empty | 925 | 0 |

Free | 0 | 0 |

Singleton | 42851 | 0 |

Aggregations | 0 | 0 |

Precedence | 17914 | 0 |

Variable Bound | 0 | 0 |

Set Partitioning | 592 | 592 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 333 | 333 |

Invariant Knapsack | 135835 | 135835 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 0 | 0 |

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 | 1.579784 | ||||

Constraint % | 1.08307 | 2.69098 | 3.26826 | 3.65518 | |

Variable % | 1.10246 | 2.70270 | 3.27865 | 3.66290 | |

Score | 0.965230 |

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 | 81 | 81 | 0 | 0 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to vpphard2 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

vpphard | easy | 51471 | 51471 | 0 | 0 | 47280 | 372305 | C. Cardonha | -- | 5 | binary decomposition benchmark_suitable set_partitioning cardinality invariant_knapsack |

tanglegram4 | easy | 56048 | 56048 | 0 | 0 | 110404 | 331212 | Falk Hueffner | huefner | 10696 | binary benchmark_suitable set_covering invariant_knapsack |

tanglegram6 | easy | 9182 | 9182 | 0 | 0 | 17712 | 53136 | Falk Hueffner | huefner | 1224 | binary benchmark_suitable set_covering invariant_knapsack |

toll-like | easy | 2883 | 2883 | 0 | 0 | 4408 | 13224 | Falk Hueffner | huefner | 610 | binary benchmark_suitable set_covering invariant_knapsack |

neos-950242 | easy | 5760 | 5520 | 240 | 0 | 34224 | 104160 | NEOS Server Submission | neos-pseudoapplication-72 | 4 | benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning set_covering invariant_knapsack general_linear |

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Last Update Jul 24, 2022 by Jan Krüger

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