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

Tallys Yunes | 1536 | 351 | 1.05484e-02 | easy | csched | 173 | csched008.mps.gz |

Cumulative scheduling problem instance

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 1536 | 1535 |

Constraints | 351 | 308 |

Binaries | 1284 | 1284 |

Integers | 0 | 50 |

Continuous | 252 | 201 |

Implicit Integers | 0 | 50 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.0105484 | 0.0118469 |

Nonzeroes | 5687 | 5601 |

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

Total | 351 | 308 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 1 | 0 |

Aggregations | 10 | 11 |

Precedence | 50 | 0 |

Variable Bound | 0 | 8 |

Set Partitioning | 50 | 50 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 0 | 0 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 240 | 189 |

General Linear | 0 | 50 |

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 | 1.653213 | ||||

Constraint % | 0.649351 | 0.878099 | 0.649351 | 7.79221 | |

Variable % | 0.586319 | 1.994370 | 1.661240 | 16.48210 | |

Score | 0.368651 |

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 | 173 | 173 | 0 | 0 | 0 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

2 | 173 | 173 | 0 | 0 | 0 | - | 2018-10-29 | Solution imported from MIPLIB2010. |

The following instances are most similar to csched008 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

csched007 | easy | 1758 | 1457 | 0 | 301 | 351 | 6379 | Tallys Yunes | csched | 350.9999999999955 | benchmark benchmark_suitable aggregations variable_bound set_partitioning mixed_binary general_linear |

csched010 | easy | 1758 | 1457 | 0 | 301 | 351 | 6376 | Tallys Yunes | csched | 407.999999999994 | benchmark_suitable aggregations variable_bound set_partitioning general_linear |

neos-5182409-nasivi | easy | 2005 | 1600 | 0 | 405 | 580 | 14884 | Jeff Linderoth | neos-pseudoapplication-32 | 301.99999992 | benchmark_suitable aggregations set_partitioning set_packing invariant_knapsack mixed_binary general_linear |

ic97_tension | easy | 703 | 176 | 4 | 523 | 319 | 2070 | MIPLIB submission pool | -- | 3942 | benchmark_suitable aggregations mixed_binary general_linear |

neos-691058 | easy | 3006 | 1755 | 0 | 1251 | 2667 | 30837 | NEOS Server Submission | neos-pseudoapplication-110 | 296.999999999986 | benchmark_suitable set_partitioning cardinality mixed_binary |

```
@misc{Yunes2009,
author = {T. Yunes},
note = {http://moya.bus.miami.edu/~tallys/cusplib/},
title = {{CuSPLIB} 1.0: A Library of Single-Machine Cumulative Scheduling
Problems},
year = {2009}
}
```

Last Update Dec 06, 2022 by Jan Krüger

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