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

Yoshihiro Kanno | 3514 | 34872 | 1.31841e-03 | open | evaprime | -16.31528287738903* | eva1aprime6x6opt.mps.gz |

MILP approach to generate structures with negative thermal expansion coefficients

Detailed explanation of the following tables can be found here.

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

Variables | 3514 | 3514 |

Constraints | 34872 | 34872 |

Binaries | 836 | 836 |

Integers | 0 | 0 |

Continuous | 2678 | 2678 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00131841 | 0.00131841 |

Nonzeroes | 161558 | 161558 |

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

Total | 34872 | 34872 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 408 | 408 |

Precedence | 0 | 0 |

Variable Bound | 731 | 731 |

Set Partitioning | 0 | 0 |

Set Packing | 17155 | 17155 |

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 | 16578 | 16578 |

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 | 1.113943 | ||||

Constraint % | 0.0028700 | 4.37170 | 0.0573526 | 51.8840 | |

Variable % | 0.0569152 | 2.17226 | 0.2276610 | 23.7336 | |

Score | 0.401446 |

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

4 | -16.315283 | -16.315283 | 0e+00 | 0e+00 | 0 | Ed Rothberg | 2023-05-19 | Found with the NoRel heuristic. |

3 | -12.885929 | -12.885691 | 2e-07 | 9e-07 | 0 | Edward Rothberg | 2020-09-14 | Found with Gurobi |

2 | -11.618070 | 0e+00 | 0e+00 | 0 | Robert Ashford and Alkis Vazacopoulus | 2019-12-18 | Found using ODH|CPlex | |

1 | -3.040871 | -3.040871 | 0e+00 | 0e+00 | 0 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to eva1aprime6x6opt 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

eva1aprime5x5opt | open | 1712 | 400 | 0 | 1312 | 11929 | 57162 | Yoshihiro Kanno | evaprime | -17.94807560443689* | aggregations variable_bound set_packing mixed_binary |

neos-3754224-navua | open | 150228 | 3574 | 0 | 146654 | 232387 | 652974 | Jeff Linderoth | neos-pseudoapplication-83 | 157909.0677610051* | numerics aggregations precedence variable_bound set_partitioning mixed_binary |

neos-619167 | easy | 3452 | 400 | 0 | 3052 | 6800 | 20020 | NEOS Server Submission | neos-pseudoapplication-83 | 1.664893618589958 | decomposition numerics precedence variable_bound mixed_binary |

neos-3594536-henty | open | 22924 | 0 | 22924 | 0 | 21280 | 65712 | Jeff Linderoth | neos-pseudoapplication-83 | 401223.0* | decomposition aggregations variable_bound general_linear |

neos-5018451-chiese | easy | 265713 | 1222 | 244 | 264247 | 170175 | 1249955 | Jeff Linderoth | neos-pseudoapplication-69 | -147988824.81 | numerics aggregations variable_bound mixed_binary general_linear |

```
@Article{HK15nte,
author = "M.~Hirota, Y.~Kanno",
title = "Optimal design of periodic frame structures with negative thermal expansion via mixed integer programming",
journal = "Optimization and Engineering",
volume = "16",
pages = "767--809"
year = "2015"
}
```

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