bmoipr2
decomposition numerics aggregations variable_bound set_packing mixed_binary
| Submitter | Variables | Constraints | Density | Status | Group | Objective | MPS File |
|---|---|---|---|---|---|---|---|
| Sean MacDermant | 20503 | 13897 | 1.91798e-04 | easy | -- | -46416168.2981393 | bmoipr2.mps.gz |
BMO IPR2 Logistics
Location of instance in collection
Instance Statistics
Detailed explanation of the following tables can be found here.
| Original | Presolved | |
|---|---|---|
| Variables | 20503 | 17265 |
| Constraints | 13897 | 12263 |
| Binaries | 8434 | 7616 |
| Integers | 0 | 0 |
| Continuous | 12069 | 9649 |
| Implicit Integers | 0 | 0 |
| Fixed Variables | 2420 | 0 |
| Nonzero Density | 0.000191798 | 0.000233010 |
| Nonzeroes | 54649 | 49333 |
| Original | Presolved | |
|---|---|---|
| Total | 13897 | 12263 |
| Empty | 0 | 0 |
| Free | 0 | 0 |
| Singleton | 814 | 0 |
| Aggregations | 0 | 524 |
| Precedence | 0 | 0 |
| Variable Bound | 7659 | 7025 |
| Set Partitioning | 0 | 0 |
| Set Packing | 1939 | 1939 |
| 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 | 3485 | 2775 |
| General Linear | 0 | 0 |
| Indicator | 0 | 0 |
Structure
Available nonzero structure and decomposition information. Further information can be found here.
Nonzero entries of original problem
Nonzero entries after trivial presolving
Decomposed structure of original problem (dec-file)
Decomposed structure after trivial presolving (dec-file)
| value | min | median | mean | max | |
|---|---|---|---|---|---|
| Components | 3.433770 | ||||
| Constraint % | 0.00815 | 0.0285081 | 0.0326184 | 0.0652369 | |
| Variable % | 0.00975 | 0.0275927 | 0.0292640 | 0.0536507 | |
| Score | 0.773448 |
Best Known Solution(s)
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 | -46416168 | -46415592 | 7.1e-06 | 0 | 1e-07 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |
Similar instances in collection
The following instances are most similar to bmoipr2 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 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| app3 | easy | 3080 | 100 | 0 | 2980 | 766 | 14707 | Emilie Danna | app | 5751714.3289 | variable_bound set_packing mixed_binary |
| momentum1 | easy | 5174 | 2349 | 0 | 2825 | 42680 | 103191 | T. Koch | momentum | 109143.4935 | benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning mixed_binary |
| sing326 | hard | 55156 | 40010 | 0 | 15146 | 50781 | 268173 | Daniel Espinoza | sing | 7753674.85376 | benchmark decomposition benchmark_suitable aggregations variable_bound set_partitioning cardinality mixed_binary |
| sing44 | hard | 59708 | 43524 | 0 | 16184 | 54745 | 281260 | Daniel Espinoza | sing | 8128831.1772 | benchmark decomposition benchmark_suitable aggregations variable_bound set_partitioning cardinality mixed_binary |
| supportcase25 | easy | 6769 | 576 | 0 | 6193 | 6673 | 22825 | Michael Winkler | -- | 0.04829280869043 | decomposition numerics aggregations variable_bound mixed_binary |
Reference
-Last Update Aug 03, 2023 by Jan Krüger
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