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

Gleb Belov | 27888 | 874 | 2.49187e-03 | open | pb- | 8890* | pb-gfrd-pnc.mps.gz |

These are the instances from MiniZinc Challenges 2012-2016 (see www.minizinc.org), compiled for MIP *WITH INDICATOR CONSTRAINTS* using the develop branch of MiniZinc and CPLEX 12.7.1 on 30 April 2017. Thus, these instances can only be handled by solvers accepting indicator constraints. For instances compiled with big-M/domain decomposition only, see my previous submission to MIPLIB.To recompile, create a directory MODELS, a list lst12_16.txt of the instances with full paths to mzn/dzn files of each instance per line, and say$> ~/install/libmzn/tests/benchmarking/mzn-test.py -l ../lst12_16.txt --slvPrf MZN-CPLEX --debug 1 --addOption "--timeout 3 -D fIndConstr=true -D fMIPdomains=false" --useJoinedName "--writeModel MODELS_IND/%s.mps" Alternatively, you can compile individual instance as follows: $> mzn-cplex -v -s -G linear --output-time ../challenge_2012_2016/mznc2016_probs/zephyrus/zephyrus.mzn ../challenge_2012_2016/mznc2016_p/zephyrus/14__8__6__3.dzn -a --timeout 3 -D fIndConstr=true -D fMIPdomains=false --writeModel MODELS_IND/challenge_2012_2016mznc2016_probszephyruszephyrusmzn-challenge_2012_2016mznc2016_probszephyrus14__8__6__3dzn.mps

Imported from the MIPLIB2010 submissions.

Detailed explanation of the following tables can be found here.

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

Variables | 27888 | 25934 |

Constraints | 874 | 848 |

Binaries | 27888 | 25934 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00249187 | 0.00258407 |

Nonzeroes | 60737 | 56829 |

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

Total | 874 | 848 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 0 | 0 |

Set Partitioning | 0 | 0 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 0 | 0 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 548 | 522 |

Bin Packing | 0 | 324 |

Knapsack | 0 | 2 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 326 | 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 | 2.120574 | ||||

Constraint % | 0.1179250 | 0.2934610 | 0.3537740 | 0.825472 | |

Variable % | 0.0424154 | 0.0844186 | 0.0848307 | 0.254492 | |

Score | 0.383967 |

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 | 8890 | 0 | 0 | 0 | Edward Rothberg | 2019-12-13 | Obtained with Gurobi 9.0 | |

1 | 1 | 9307 | 9307 | 0 | 0 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to pb-gfrd-pnc 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

pb-grow22 | open | 25124 | 25124 | 0 | 0 | 1320 | 154694 | Gleb Belov | pb- | -372049.0* | binary equation_knapsack knapsack |

pg5_34 | easy | 2600 | 100 | 0 | 2500 | 225 | 7700 | M. Dawande | -- | -14339.35345 | benchmark decomposition benchmark_suitable mixed_binary |

pg | easy | 2700 | 100 | 0 | 2600 | 125 | 5200 | M. Dawande | -- | -8674.34260712 | benchmark decomposition benchmark_suitable mixed_binary |

nh97_potential | easy | 1180 | 630 | 328 | 222 | 1916 | 5748 | MIPLIB submission pool | -- | 1418 | benchmark_suitable mixed_binary general_linear |

pb-fit2d | easy | 118500 | 118500 | 0 | 0 | 10525 | 1575578 | Gleb Belov | pb- | -20425 | binary decomposition benchmark_suitable equation_knapsack binpacking knapsack |

`No bibliographic information available`

Last Update Mai 20, 2021 by Philipp Wellner

generated with R Markdown

© 2020 by Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)

Imprint