bley_xs1
numerics aggregations variable_bound set_partitioning set_packing set_covering invariant_knapsack knapsack mixed_binary general_linear
| Submitter | Variables | Constraints | Density | Status | Group | Objective | MPS File |
|---|---|---|---|---|---|---|---|
| A. Bley | 3243 | 3290 | 2.41455e-03 | open | bley_x | 3873690.77* | bley_xs1.mps.gz |
Min-cost network dimensioning problem with finite sets of link capacities and unsplittable flow routing 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 | 3243 | 2703 |
| Constraints | 3290 | 1828 |
| Binaries | 2360 | 2010 |
| Integers | 883 | 693 |
| Continuous | 0 | 0 |
| Implicit Integers | 0 | 0 |
| Fixed Variables | 0 | 0 |
| Nonzero Density | 0.00241455 | 0.00380362 |
| Nonzeroes | 25762 | 18794 |
| Original | Presolved | |
|---|---|---|
| Total | 3290 | 1828 |
| Empty | 968 | 0 |
| Free | 0 | 0 |
| Singleton | 12 | 0 |
| Aggregations | 28 | 28 |
| Precedence | 0 | 0 |
| Variable Bound | 42 | 243 |
| Set Partitioning | 168 | 168 |
| Set Packing | 0 | 188 |
| Set Covering | 82 | 84 |
| Cardinality | 0 | 0 |
| Invariant Knapsack | 0 | 7 |
| Equation Knapsack | 0 | 0 |
| Bin Packing | 0 | 0 |
| Knapsack | 320 | 348 |
| Integer Knapsack | 0 | 0 |
| Mixed Binary | 422 | 24 |
| General Linear | 1248 | 738 |
| 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 | 2.593286 | ||||
| Constraint % | 0.0547046 | 0.0994756 | 0.0547046 | 0.547046 | |
| Variable % | 0.0737463 | 0.2118080 | 0.2212390 | 0.626844 | |
| Score | 0.387929 |
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 |
|---|---|---|---|---|---|---|---|---|
| 7 | 3873691 | 3873691 | 0 | 0 | 0 | Mars Davletshin | 2024-07-12 | Obtained by OptVerse solver |
| 6 | 3873740 | 3873740 | 0 | 0 | 0 | Michael Winkler | 2024-07-16 | Gurobi 11.0.3 on AMD EPYC 7313P 16-Core Processor with 264075352 kB memory and NoRel heuristic |
| 5 | 3874311 | 3874311 | 0 | 0 | 0 | Peng Lin, Mengchuan Zou, Zhihan Chen, Shaowei Cai | 2024-07-03 | Computed by a parallel local search framework for integer linear programming with cooperative evolution mechanism ParaILP |
| 4 | 3922113 | 3922113 | 0 | 0 | 0 | Mars Davletshin | 2024-03-21 | It was obtained by Optverse solver using machine learning based LNS. |
| 3 | 3925261 | 3925261 | 0 | 0 | 0 | Gerald Gamrath | 2023-03-28 | Found with COPT 6.5 in 10h. |
| 2 | 3940855 | 0 | 0 | 0 | Robert Ashford and Alkis Vazacopoulus | 2019-12-18 | Found using ODH|CPlex | |
| 1 | 3974033 | 3974033 | 0 | 0 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |
Similar instances in collection
The following instances are most similar to bley_xs1 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.
Reference
No bibliographic information availableLast Update 2024 by Mark Turner
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