ds

binary set_partitioning

Submitter Variables Constraints Density Status Group Objective MPS File
MIPLIB submission pool 67732 656 2.30477e-02 hard 93.52 ds.mps.gz

Imported from MIPLIB2003.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 67732 67732
Constraints 656 656
Binaries 67732 67732
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0230477 0.0230477
Nonzeroes 1024060 1024060
Constraint Classification Properties
Original Presolved
Total 656 656
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 656 656
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

Structure

Available nonzero structure and decomposition information. Further information can be found here.

value min median mean max
Components 0.4771212
Constraint % 47.2561 50 50 52.7439
Variable % 34.2172 50 50 65.7828
Score 0.5086610

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
2 93.5200 57.23457 0 0 0 Yuji Shinano 2019-02-27 “Imported from MIPLIB2003”
1 189.6725 57.23457 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ds 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
irp easy 20315 20315 0 0 39 98254 MIPLIB submission pool 12159.492835397 benchmark binary benchmark_suitable set_partitioning
ds-big open 174997 174997 0 0 1042 4623440 Steffen Weider 247.91666363* binary set_partitioning
air03 easy 10757 10757 0 0 124 91028 G. Astfalk air 340160 binary aggregations set_partitioning
eil33-2 easy 4516 4516 0 0 32 44243 J. Linderoth eil 934.007915999999 benchmark binary benchmark_suitable set_partitioning
ivu06 open 787239 787239 0 0 1177 8032300 S. Weider ivu 146.70099942* binary set_partitioning

Reference

No bibliographic information available

Last Update Okt 02, 2019 by Gregor Hendel
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