Submitter | Variables | Constraints | Density | Status | Group | Objective | MPS File |
---|---|---|---|---|---|---|---|
J. Linderoth | 4516 | 32 | 3.06155e-01 | easy | eil | 934.007915999999 | eil33-2.mps.gz |
Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB Imported from MIPLIB2010.
Detailed explanation of the following tables can be found here.
Original | Presolved | |
---|---|---|
Variables | 4516 | 4516 |
Constraints | 32 | 32 |
Binaries | 4516 | 4516 |
Integers | 0 | 0 |
Continuous | 0 | 0 |
Implicit Integers | 0 | 0 |
Fixed Variables | 0 | 0 |
Nonzero Density | 0.306155 | 0.306155 |
Nonzeroes | 44243 | 44243 |
Original | Presolved | |
---|---|---|
Total | 32 | 32 |
Empty | 0 | 0 |
Free | 0 | 0 |
Singleton | 0 | 0 |
Aggregations | 0 | 0 |
Precedence | 0 | 0 |
Variable Bound | 0 | 0 |
Set Partitioning | 32 | 32 |
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 | 0 | 0 |
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 | 0.30103 | ||||
Constraint % | 100 | 100 | 100 | 100 | |
Variable % | 100 | 100 | 100 | 100 | |
Score | 0.00000 |
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 | 934.0079 | 811.279 | 0 | 0 | 0 | - | 2018-10-13 | Solution imported from MIPLIB2010. |
1 | 934.0079 | 811.279 | 0 | 0 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |
The following instances are most similar to eil33-2 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 |
---|---|---|---|---|---|---|---|---|---|---|---|
eilC76-2 | easy | 28599 | 28599 | 0 | 0 | 75 | 314837 | J. Linderoth | eil | 762.514781999996 | binary benchmark_suitable set_partitioning |
t1722 | open | 36630 | 36630 | 0 | 0 | 338 | 133096 | R. Borndörfer | – | 108953.0* | binary set_partitioning |
t1717 | open | 73885 | 73885 | 0 | 0 | 551 | 325689 | R. Borndörfer | – | 158260* | binary set_partitioning |
eilA101-2 | easy | 65832 | 65832 | 0 | 0 | 100 | 959373 | J. Linderoth | eil | 880.9201079999999 | benchmark binary benchmark_suitable set_partitioning |
irp | easy | 20315 | 20315 | 0 | 0 | 39 | 98254 | MIPLIB submission pool | – | 12159.49283539698 | benchmark binary benchmark_suitable set_partitioning |
@article{LinderothLeeSavelsbergh2001,
author = {J. T. Linderoth and E. K. Lee and M. W. P. Savelsbergh},
journal = {{INFORMS} Journal on Computing},
pages = {191-209},
title = {A Parallel, Linear Programming Based Heuristic for
Large Scale Set Partitioning Problems},
volume = {13},
year = {2001}
}
@misc{tsplib,
key = {zzz tsplib},
note = {http://comopt.ifi.uni-heidelberg.de/software/TSPLIB95/},
title = {TSPLIB},
year = {2008}
}