ger50-17-ptp-pop-3t
mixed_binary general_linear
| Submitter | Variables | Constraints | Density | Status | Group | Objective | MPS File |
|---|---|---|---|---|---|---|---|
| C. Raack | 4892 | 545 | 5.35793e-03 | open | ger50 | 5224.5144* | ger50-17-ptp-pop-3t.mps.gz |
Multi-layer network design problem using a link-flow formulation over a path-flow formulation. Imported from the MIPLIB2010 submissions.
Location of instance in collection
Instance Statistics
Detailed explanation of the following tables can be found here.
| Original | Presolved | |
|---|---|---|
| Variables | 4892 | 4860 |
| Constraints | 545 | 544 |
| Binaries | 0 | 0 |
| Integers | 540 | 540 |
| Continuous | 4352 | 4320 |
| Implicit Integers | 0 | 0 |
| Fixed Variables | 0 | 0 |
| Nonzero Density | 0.00535793 | 0.00536757 |
| Nonzeroes | 14285 | 14191 |
| Original | Presolved | |
|---|---|---|
| Total | 545 | 544 |
| Empty | 0 | 0 |
| Free | 0 | 0 |
| Singleton | 0 | 0 |
| Aggregations | 0 | 0 |
| Precedence | 0 | 0 |
| Variable Bound | 0 | 0 |
| Set Partitioning | 0 | 0 |
| 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 | 273 | 272 |
| General Linear | 272 | 272 |
| 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 | 2.181844 | ||||
| Constraint % | 0.1838240 | 0.495471 | 0.1838240 | 3.12500 | |
| Variable % | 0.0823045 | 0.662252 | 0.0823045 | 5.55556 | |
| Score | 0.720180 |
Best Known Solution(s)
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 | 5224.514 | 5224.514 | 0.0e+00 | 5e-07 | 0 | Ed Rothberg | 2023-05-19 | Found with the NoRel heuristic. |
| 3 | 5231.110 | 9.9e-06 | 5e-07 | 0 | Edward Rothberg | 2019-12-13 | Obtained with Gurobi 9.0 | |
| 2 | 5233.170 | 0.0e+00 | 0e+00 | 0 | Robert Ashford and Alkis Vazacopoulus | 2019-12-18 | Found using ODH|CPlex | |
| 1 | 5235.517 | 5235.517 | 0.0e+00 | 2e-07 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |
Similar instances in collection
The following instances are most similar to ger50-17-ptp-pop-3t 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 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| ger50-17-ptp-pop-6t | hard | 4892 | 0 | 540 | 4352 | 545 | 14285 | C. Raack | ger50 | 8942.6328 | mixed_binary general_linear |
| ger50_17_trans | hard | 22414 | 0 | 18062 | 4352 | 499 | 172035 | C. Raack | ger50 | 7393.2618 | numerics mixed_binary general_linear |
| ger50-17-trans-dfn-3t | open | 22414 | 0 | 18062 | 4352 | 499 | 172035 | C. Raack | ger50 | 3969.4334* | mixed_binary general_linear |
| ger50-17-trans-pop-3t | open | 22414 | 0 | 18062 | 4352 | 499 | 172035 | C. Raack | ger50 | 4038.441* | mixed_binary general_linear |
| ta1-UUM | easy | 2288 | 0 | 605 | 1683 | 439 | 5654 | MIPLIB submission pool | network_design | 7518328.199999998 | decomposition numerics aggregations mixed_binary general_linear |
Reference
No bibliographic information availableLast Update 2024 by Mark Turner
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