supportcase31
decomposition numerics precedence set_packing invariant_knapsack knapsack mixed_binary
| Submitter | Variables | Constraints | Density | Status | Group | Objective | MPS File |
|---|---|---|---|---|---|---|---|
| Domenico Salvagnin | 488882 | 26195 | 1.432e-04 | open | – | -3720096.382* | supportcase31.mps.gz |
Instance coming from IBM developerWorks forum with unknown application.
Location of instance in collection
Instance Statistics
Detailed explanation of the following tables can be found here.
| Original | Presolved | |
|---|---|---|
| Variables | 488882 | 488861 |
| Constraints | 26195 | 25415 |
| Binaries | 488760 | 488740 |
| Integers | 0 | 0 |
| Continuous | 122 | 121 |
| Implicit Integers | 0 | 0 |
| Fixed Variables | 1 | 0 |
| Nonzero Density | 0.000143200 | 0.000147478 |
| Nonzeroes | 1833860 | 1832320 |
| Original | Presolved | |
|---|---|---|
| Total | 26195 | 25415 |
| Empty | 0 | 0 |
| Free | 0 | 0 |
| Singleton | 20 | 0 |
| Aggregations | 0 | 0 |
| Precedence | 1520 | 760 |
| Variable Bound | 0 | 0 |
| Set Partitioning | 0 | 0 |
| Set Packing | 24454 | 24454 |
| Set Covering | 0 | 0 |
| Cardinality | 0 | 0 |
| Invariant Knapsack | 40 | 40 |
| Equation Knapsack | 0 | 0 |
| Bin Packing | 0 | 0 |
| Knapsack | 0 | 40 |
| Integer Knapsack | 0 | 0 |
| Mixed Binary | 161 | 121 |
| 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 | 4.387354 | ||||
| Constraint % | 0.00393 | 0.00407 | 0.00393 | 3.21857 | |
| Variable % | 0.00409 | 0.00410 | 0.00409 | 0.16773 | |
| Score | 0.991998 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2 | -3720096 | -3720096 | 0 | 0 | 0 | Michael Winkler | 2024-07-16 | Gurobi 11.0.1 on AMD EPYC 7313P 16-Core Processor with 264075352 kB memory |
| 1 | -3720089 | -3720089 | 0 | 0 | 0 | - | 2018-10-15 | Solution found during MIPLIB2017 problem selection. |
Similar instances in collection
The following instances are most similar to supportcase31 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 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| gmut-76-50 | open | 68865 | 68859 | 0 | 6 | 2586 | 470045 | Nora Konnyu | gmu | -14171893.7789212* | variable_bound set_packing mixed_binary |
| gmut-75-50 | hard | 68865 | 68859 | 0 | 6 | 2565 | 571475 | Nora Konnyu | gmu | -14180699.047 | variable_bound set_packing mixed_binary |
| gmut-76-40 | open | 24338 | 24332 | 0 | 6 | 2586 | 153017 | Nora Konnyu | gmu | -14169441.78* | variable_bound set_packing mixed_binary |
| blp-ic98 | easy | 13640 | 13550 | 0 | 90 | 717 | 191947 | M. Lübbecke | blp | 4491.44758395 | benchmark decomposition benchmark_suitable set_packing mixed_binary general_linear |
| blp-ic97 | easy | 9845 | 9753 | 0 | 92 | 923 | 118149 | M. Lübbecke | blp | 4025.023580799999 | decomposition benchmark_suitable set_packing mixed_binary general_linear |
Reference
No bibliographic information availableLast Update 2024 by Julian Manns
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