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

Qie He | 332 | 512 | 8.65964e-03 | easy | control | -17.25658927192 | control30-3-2-3.mps.gz |

Optimal control of a discrete-time switched system model

Detailed explanation of the following tables can be found here.

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

Variables | 332 | 330 |

Constraints | 512 | 510 |

Binaries | 90 | 90 |

Integers | 0 | 0 |

Continuous | 242 | 240 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00865964 | 0.00872252 |

Nonzeroes | 1472 | 1468 |

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

Total | 512 | 510 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 2 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 360 | 360 |

Set Partitioning | 30 | 30 |

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 | 120 | 120 |

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 | 1.491362 | ||||

Constraint % | 2.94118 | 2.95425 | 2.94118 | 3.33333 | |

Variable % | 3.31325 | 3.31325 | 3.31325 | 3.31325 | |

Score | 0.856910 |

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 | -17.25659 | 24.98036 | 9.2e-06 | 4e-06 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to control30-3-2-3 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

neos-3075395-nile | easy | 26928 | 1728 | 0 | 25200 | 27756 | 102672 | Jeff Linderoth | neos-pseudoapplication-50 | 6021719.99999999 | decomposition numerics aggregations variable_bound set_packing invariant_knapsack knapsack mixed_binary |

neos-5075914-elvire | easy | 5003 | 2638 | 0 | 2365 | 3720 | 11440 | Jeff Linderoth | neos-pseudoapplication-35 | 323.8387873868924 | numerics aggregations precedence variable_bound set_packing mixed_binary |

neos-5078479-escaut | easy | 3471 | 1330 | 0 | 2141 | 3442 | 9062 | Jeff Linderoth | neos-pseudoapplication-35 | 9682.338178668055 | benchmark_suitable aggregations variable_bound mixed_binary |

danoint | easy | 521 | 56 | 0 | 465 | 664 | 3232 | Daniel Bienstock | dano | 65.6666666666 | benchmark_suitable variable_bound cardinality mixed_binary |

beavma | easy | 390 | 195 | 0 | 195 | 372 | 975 | MIPLIB submission pool | – | 383285 | decomposition aggregations variable_bound set_packing mixed_binary |

```
@TECHREPORT{HeWu2017,
author="Q. He and Z. Wu",
title="Optimal control of a discrete-time switched system",
INSTITUTION ={Department of Industrial and Systems Engineering, University of Minnesota},
month={February},
year="2017"}
```

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