Submitter | Variables | Constraints | Density | Status | Group | Objective | MPS File |
---|---|---|---|---|---|---|---|
X. Liu | 1156 | 2178 | 4.2204e-03 | open | – | 1084.0* | liu.mps.gz |
Floorplan and placement problem in the physical design of VLSI circuits Imported from MIPLIB2010. Model data to start generating other instances of this type provided by Ed Klotz in February 2019.
Detailed explanation of the following tables can be found here.
Original | Presolved | |
---|---|---|
Variables | 1156 | 1154 |
Constraints | 2178 | 2178 |
Binaries | 1089 | 1087 |
Integers | 0 | 0 |
Continuous | 67 | 67 |
Implicit Integers | 0 | 0 |
Fixed Variables | 0 | 0 |
Nonzero Density | 0.00422040 | 0.00422772 |
Nonzeroes | 10626 | 10626 |
Original | Presolved | |
---|---|---|
Total | 2178 | 2178 |
Empty | 0 | 0 |
Free | 0 | 0 |
Singleton | 0 | 0 |
Aggregations | 0 | 0 |
Precedence | 4 | 4 |
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 | 2174 | 2174 |
General Linear | 0 | 0 |
Indicator | 0 | 0 |
Available nonzero structure and decomposition information. Further information can be found here.
Decomposed structure of original problem (dec-file)
Decomposed structure after trivial presolving (dec-file)
value | min | median | mean | max | |
---|---|---|---|---|---|
Components | 0.301030 | ||||
Constraint % | 8.90725 | 8.90725 | 8.90725 | 8.90725 | |
Variable % | 19.41070 | 19.41070 | 19.41070 | 19.41070 | |
Score | 0.071783 |
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 |
---|---|---|---|---|---|---|---|---|
4 | 1084 | 1084 | 0 | 0 | 0 | Edward Rothberg | 2020-04-23 | Obtained with Gurobi 9.0 using the solution improvement heuristic |
3 | 1088 | 1088 | 0 | 0 | 0 | Yuji Shinano | 2020-04-16 | Obtained with ParaSCIP in 2014 |
2 | 1090 | 1090 | 0 | 0 | 0 | Ed Klotz | 2019-02-27 | Found using a CPLEX 12.9 beta version after about 20 hours. |
1 | 1110 | 1110 | 0 | 0 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |
The following instances are most similar to liu 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 |
---|---|---|---|---|---|---|---|---|---|---|---|
neos-5107597-kakapo | easy | 3114 | 2976 | 0 | 138 | 6498 | 19392 | Jeff Linderoth | neos-pseudoapplication-54 | 3644.99999999952 | benchmark benchmark_suitable aggregations precedence mixed_binary |
neos-5115478-kaveri | easy | 3114 | 2976 | 0 | 138 | 6498 | 19392 | Jeff Linderoth | neos-pseudoapplication-54 | 1233.99999999096 | numerics aggregations precedence mixed_binary |
supportcase26 | easy | 436 | 396 | 0 | 40 | 870 | 2492 | Michael Winkler | – | 1745.123813 | benchmark benchmark_suitable precedence mixed_binary |
icir97_potential | hard | 2112 | 1235 | 422 | 455 | 3314 | 9942 | MIPLIB submission pool | – | 6325 | precedence mixed_binary general_linear |
ic97_potential | easy | 728 | 450 | 73 | 205 | 1046 | 3138 | L. Peeters | – | 3941.99993090225 | benchmark benchmark_suitable precedence mixed_binary general_linear |
@article{AchterbergKochMartin2006,
author = {Tobias Achterberg and Thorsten Koch and Alexander Martin},
doi = {10.1016/j.orl.2005.07.009},
journal = {Operations Research Letters},
language = {English},
number = {4},
pages = {361--372},
publisher = {Elsevier / North-Holland},
title = {{MIPLIB} 2003},
volume = {34},
year = {2006}
}