qap10

benchmark binary benchmark_suitable set_partitioning

Submitter Variables Constraints Density Status Group Objective MPS File
MIPLIB submission pool 4150 1820 2.40964e-03 easy 340 qap10.mps.gz

Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 4150 4150
Constraints 1820 1820
Binaries 4150 4150
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00240964 0.00240964
Nonzeroes 18200 18200
Constraint Classification Properties
Original Presolved
Total 1820 1820
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 1820 1820
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 0.30103
Constraint % 100 100 100 100
Variable % 100 100 100 100
Score 0.00000

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
1 340 332.5662 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to qap10 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-831188 easy 4612 4612 0 0 2185 11256 NEOS Server Submission neos-pseudoapplication-94 2.61377462 binary benchmark_suitable aggregations precedence set_partitioning cardinality invariant_knapsack
neos-827015 easy 79347 79347 0 0 7688 166239 NEOS Server Submission neos-pseudoapplication-95 2.31958979 binary numerics precedence set_partitioning cardinality invariant_knapsack
neos-780889 easy 182700 182700 0 0 73910 497210 NEOS Server Submission neos-pseudoapplication-94 3421500 binary benchmark_suitable aggregations set_partitioning cardinality mixed_binary
sing5 open 154463 146210 0 8253 92183 408715 Daniel Espinoza sing 18778435.60768* decomposition aggregations variable_bound set_partitioning cardinality mixed_binary
sing11 open 175352 165337 0 10015 105858 479075 Daniel Espinoza sing 19123543.189* decomposition aggregations variable_bound set_partitioning cardinality mixed_binary

Reference

No bibliographic information available

Last Update Mär 19, 2019 by Gregor Hendel
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