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

Gleb Belov | 2226625 | 3447025 | 9.15462e-07 | hard | gfd-schedule | 47 | gfd-schedulen180f7d50m30k18-16i.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

Detailed explanation of the following tables can be found here.

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

Variables | 2226625 | 2194222 |

Constraints | 3447025 | 3423384 |

Binaries | 1055523 | 1039166 |

Integers | 1103442 | 1087454 |

Continuous | 67660 | 67602 |

Implicit Integers | 554014 | 539282 |

Fixed Variables | 513 | 0 |

Nonzero Density | 9.15462e-07 | 9.24710e-07 |

Nonzeroes | 7026380 | 6946120 |

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

Total | 2826053 | 2817916 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 23 | 416 |

Aggregations | 286596 | 286389 |

Precedence | 914395 | 907019 |

Variable Bound | 563193 | 562526 |

Set Partitioning | 739 | 736 |

Set Packing | 1260 | 1260 |

Set Covering | 0 | 0 |

Cardinality | 88 | 88 |

Invariant Knapsack | 451596 | 451555 |

Equation Knapsack | 18 | 19 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 66958 | 66724 |

General Linear | 541187 | 541184 |

Indicator | 620972 | 620972 |

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.

`## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion`

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

2 | 47 | 0 | 0 | 0 | Robert Bixby | 2020-02-21 | Solved with Gurobi 9.0 within 18 hours | |

1 | 47 | 0 | 0 | 0 | Frederic Didier | 2020-01-22 | Solved with Google OR-tools using 8 Threads through generating subproblems by fixing part of the current solution and trying to solve them with a sub CP-SAT solver |

The following instances are most similar to gfd-schedulen180f7d50m30k18-16i 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.

```
@article{MZChPhil2010,
year={2010},
journal={Constraints},
volume={15},
number={3},
title={Philosophy of the {MiniZinc} challenge},
publisher={Springer US},
author={Stuckey, P. J. and Becket, R. and Fischer, J.},
pages={307--316},
}
@incollection{BelovEtAl_Lin16,
author="Belov, G.
and Stuckey, P. J.
and Tack, G.
and Wallace, M.",
editor="Rueher, M.",
title="Improved Linearization of Constraint Programming Models",
bookTitle="Principles and Practice of Constraint Programming: 22nd International Conference, CP 2016, Proceedings",
year="2016",
publisher="Springer International Publishing",
pages="49--65",
}
```

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