maxgasflow
decomposition numerics aggregations variable_bound mixed_binary
| Submitter | Variables | Constraints | Density | Status | Group | Objective | MPS File |
|---|---|---|---|---|---|---|---|
| G. Gamrath | 7437 | 7160 | 3.7028e-04 | easy | – | -44565819.31886 | maxgasflow.mps.gz |
Transport momentum maximization in a capacitated gas network, allowing cycles. Solved by Gurobi 5.0 in 2882 seconds (May 2012). Imported from MIPLIB2010.
Location of instance in collection
Instance Statistics
Detailed explanation of the following tables can be found here.
| Original | Presolved | |
|---|---|---|
| Variables | 7437 | 6800 |
| Constraints | 7160 | 6562 |
| Binaries | 2456 | 2254 |
| Integers | 0 | 0 |
| Continuous | 4981 | 4546 |
| Implicit Integers | 0 | 0 |
| Fixed Variables | 39 | 0 |
| Nonzero Density | 0.00037028 | 0.00040514 |
| Nonzeroes | 19717 | 18078 |
| Original | Presolved | |
|---|---|---|
| Total | 7160 | 6562 |
| Empty | 0 | 0 |
| Free | 0 | 0 |
| Singleton | 0 | 0 |
| Aggregations | 507 | 409 |
| Precedence | 0 | 0 |
| Variable Bound | 4912 | 4508 |
| 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 | 1741 | 1645 |
| 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 | 3.019116 | ||||
| Constraint % | 0.0329979 | 0.0903806 | 0.0494968 | 2.17786 | |
| Variable % | 0.0430108 | 0.0865021 | 0.0430108 | 2.02151 | |
| Score | 0.940290 |
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 | -44565819 | -44565819 | 0 | 0 | 0.0037887 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |
Similar instances in collection
The following instances are most similar to maxgasflow 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 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| transportmoment | easy | 9685 | 2456 | 0 | 7229 | 9616 | 29541 | G. Gamrath | – | -3063103721.717 | numerics aggregations variable_bound mixed_binary |
| dsbmip | easy | 1886 | 192 | 0 | 1694 | 1182 | 7366 | MIPLIB submission pool | – | -305.19817501 | aggregations precedence variable_bound set_partitioning mixed_binary |
| neos-5078479-escaut | easy | 3471 | 1330 | 0 | 2141 | 3442 | 9062 | Jeff Linderoth | neos-pseudoapplication-35 | 9682.338178668055 | benchmark_suitable aggregations variable_bound mixed_binary |
| dg012142 | hard | 2080 | 640 | 0 | 1440 | 6310 | 14795 | A. Miller | – | 2300867 | aggregations precedence variable_bound mixed_binary |
| neos-4333596-skien | easy | 1005 | 460 | 0 | 545 | 812 | 5811 | Jeff Linderoth | neos-pseudoapplication-43 | -14610731.01 | benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality mixed_binary |
Reference
No bibliographic information availableLast Update 2024 by Mark Turner
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