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

C. Helmberg | 444625 | 133944 | 1.75422e-05 | hard | shs | 13136.636273 | shs1023.mps.gz |

Joint online truck scheduling and inventory management for multiple warehouses. The problem was solved by CPLEX 12.5 on a Intel Xeon E7540 @ 2.00 GHz, 1TB with 24 cores and 24 threads. The maximum memory requirements were 410GB. It took approximately 114.5 hours.

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 444625 | 432224 |

Constraints | 133944 | 129533 |

Binaries | 1296 | 37930 |

Integers | 440899 | 392674 |

Continuous | 2430 | 1620 |

Implicit Integers | 0 | 810 |

Fixed Variables | 0 | 0 |

Nonzero Density | 1.75422e-05 | 1.80285e-05 |

Nonzeroes | 1044720 | 1009370 |

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

Total | 135162 | 130559 |

Empty | 9 | 0 |

Free | 0 | 0 |

Singleton | 2568 | 0 |

Aggregations | 648 | 1337 |

Precedence | 0 | 0 |

Variable Bound | 5763 | 5697 |

Set Partitioning | 0 | 1021 |

Set Packing | 432 | 192 |

Set Covering | 0 | 0 |

Cardinality | 0 | 0 |

Invariant Knapsack | 0 | 3 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 1650 | 1215 |

Mixed Binary | 0 | 0 |

General Linear | 124092 | 121094 |

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 | |||||

Constraint % | |||||

Variable % | |||||

Score |

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 | 13136.88 | 13136.88 | 0 | 5e-07 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to shs1023 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

shs1014 | open | 444474 | 1296 | 440754 | 2424 | 134322 | 1046080 | Christoph Helmberg | shs | 22671.75152511* | aggregations variable_bound set_partitioning set_packing invariant_knapsack integer_knapsack general_linear |

shs1042 | open | 467589 | 864 | 464295 | 2430 | 133377 | 1114010 | C. Helmberg | shs | 11070.7015802402* | aggregations variable_bound set_partitioning integer_knapsack general_linear |

snp-04-052-052 | open | 221438 | 4546 | 4546 | 212346 | 129662 | 459205 | Gerald Gamrath | supplynetworkplanning | 918354457.675411* | numerics aggregations variable_bound mixed_binary general_linear |

snp-10-052-052 | open | 549021 | 11059 | 11059 | 526903 | 320836 | 1138760 | Gerald Gamrath | supplynetworkplanning | 16136245760* | numerics aggregations variable_bound mixed_binary general_linear |

snp-10-004-052 | open | 538777 | 815 | 815 | 537147 | 300348 | 1097780 | Gerald Gamrath | supplynetworkplanning | 5906642865.78* | numerics aggregations variable_bound mixed_binary general_linear |

```
@article{HelmbergRoehl2007,
author = {Christoph Helmberg and Stefan R{\"o}hl},
journal = {Operations Research},
number = {4},
pages = {733--752},
title = {A Case Study of Joint Online Truck Scheduling and Inventory
Management for Multiple Warehouses},
volume = {55},
year = {2007}
}
@misc{helmbergweb,
key = {zzz helmbergweb},
note = {http://www.tu-chemnitz.de/mathematik/discrete/projects/warehouse_trucks/index.html},
title = {Management of {I}nter-{W}arehouse-{L}ogistics for {S}tochastic {D}emand},
year = {2004}
}
```

Last Update Feb 25, 2020 by Gabriel Kressin

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