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

Siemens | 22886 | 12154 | 3.79538e-04 | open | sct | -187.527650839031* | sct1.mps.gz |

Assembly line balancing for printed circuit board production

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 22886 | 14519 |

Constraints | 12154 | 9176 |

Binaries | 10312 | 7774 |

Integers | 0 | 1 |

Continuous | 12574 | 6744 |

Implicit Integers | 0 | 1 |

Fixed Variables | 6957 | 0 |

Nonzero Density | 0.000379538 | 0.000679115 |

Nonzeroes | 105571 | 90476 |

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

Total | 12154 | 9176 |

Empty | 8 | 0 |

Free | 0 | 0 |

Singleton | 976 | 0 |

Aggregations | 0 | 1 |

Precedence | 5640 | 4335 |

Variable Bound | 3275 | 2665 |

Set Partitioning | 0 | 0 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 0 | 0 |

Invariant Knapsack | 1 | 1 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 4 | 4 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 2250 | 2169 |

General Linear | 0 | 1 |

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 | 3.301030 | ||||

Constraint % | 0.0108980 | 0.0381675 | 0.0108980 | 4.89320 | |

Variable % | 0.0136836 | 0.0308036 | 0.0136836 | 3.07882 | |

Score | 0.761112 |

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 | 2 | -187.5277 | 9e-07 | 8e-07 | 0 | Edward Rothberg | 2019-12-13 | Obtained with Gurobi 9.0 | |

1 | 1 | -184.2859 | -184.2859 | 0e+00 | 0e+00 | 0 | - | 2018-10-10 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to sct1 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

sct2 | easy | 5885 | 2872 | 0 | 3013 | 2151 | 23643 | Siemens | sct | -230.9891623 | benchmark benchmark_suitable precedence invariant_knapsack knapsack mixed_binary general_linear |

sct31 | open | 8515 | 5520 | 0 | 2995 | 3932 | 68453 | Siemens | sct | -29.317051745* | aggregations precedence invariant_knapsack knapsack mixed_binary general_linear |

sct5 | open | 37265 | 23004 | 0 | 14261 | 13304 | 147037 | Siemens | sct | -228.1172303718* | decomposition aggregations precedence invariant_knapsack knapsack mixed_binary general_linear |

sct32 | hard | 9767 | 7728 | 0 | 2039 | 5440 | 109654 | Siemens | sct | -17.8875590846509 | decomposition aggregations precedence set_partitioning set_covering invariant_knapsack knapsack mixed_binary general_linear |

gus-sch | easy | 5475 | 2736 | 2736 | 3 | 5984 | 33135 | Alexandra M. Newman | – | -1167 | decomposition aggregations precedence variable_bound set_packing set_covering cardinality invariant_knapsack integer_knapsack mixed_binary general_linear |

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Last Update Aug 13, 2020 by Gabriel Kressin

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