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

Pelin Damci-Kurt | 74119 | 239780 | 5.11265e-05 | easy | physiciansched | 1480386.746666666 | physiciansched3-4.mps.gz |

Physician scheduling problem for hospitalist, radiology and kidney specialist groups. Solved in 5533s on 6 cores using Gurobi 9.0

Detailed explanation of the following tables can be found here.

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

Variables | 74119 | 26715 |

Constraints | 239780 | 74601 |

Binaries | 65900 | 20124 |

Integers | 0 | 2190 |

Continuous | 8219 | 4401 |

Implicit Integers | 0 | 2190 |

Fixed Variables | 873 | 0 |

Nonzero Density | 5.11265e-05 | 1.71646e-04 |

Nonzeroes | 908634 | 342084 |

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

Total | 239780 | 74601 |

Empty | 10158 | 0 |

Free | 0 | 0 |

Singleton | 9499 | 0 |

Aggregations | 0 | 30 |

Precedence | 40372 | 20361 |

Variable Bound | 139990 | 36647 |

Set Partitioning | 0 | 0 |

Set Packing | 2194 | 1121 |

Set Covering | 543 | 1185 |

Cardinality | 0 | 0 |

Invariant Knapsack | 10763 | 4465 |

Equation Knapsack | 0 | 0 |

Bin Packing | 9128 | 3648 |

Knapsack | 7794 | 1006 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 9339 | 3197 |

General Linear | 0 | 2941 |

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 | 2.800717 | ||||

Constraint % | 0.00134 | 0.1211050 | 0.00134 | 12.82420 | |

Variable % | 0.00523 | 0.0823235 | 0.00523 | 7.40256 | |

Score | 0.745952 |

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 |
---|---|---|---|---|---|---|---|---|

3 | 1480387 | 1480387 | 0 | 0 | 0 | Ed Klotz | 2022-05-25 | Found with Gurobi v9.5.1rc2 using 8 threads in 40 minutes. |

2 | 1480387 | 0 | 0 | 0 | Edward Rothberg | 2019-12-18 | Optimal solution found with Gurobi 9.0 in 5500s on 6 cores | |

1 | 1480390 | 0 | 0 | 0 | Robert Ashford and Alkis Vazacopoulus | 2019-12-18 | Found using ODH|CPlex |

The following instances are most similar to physiciansched3-4 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.

`No bibliographic information available`

Last Update 2024 by Julian Manns

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