ab72-40-100

binary decomposition numerics precedence set_packing

Submitter Variables Constraints Density Status Group Objective MPS File
MIPLIB submission pool 12370 11671 4.99667e-04 easy ab -11186620442 ab72-40-100.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 12370 12370
Constraints 11671 11668
Binaries 12370 12370
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000499667 0.000499795
Nonzeroes 72137 72137
Constraint Classification Properties
Original Presolved
Total 11671 11668
Empty 3 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 11547 11547
Variable Bound 0 0
Set Partitioning 0 0
Set Packing 121 121
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 2.915927
Constraint % 0.0171409 0.120247 0.0428522 1.002740
Variable % 0.0242522 0.121507 0.0485044 0.953921
Score 0.985373

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 -11186620442 -11186620442 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ab72-40-100 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
ab69-40-100 easy 12622 12622 0 0 11911 74233 MIPLIB submission pool ab -11186281442 binary decomposition numerics precedence set_packing
ab67-40-100 easy 12812 12812 0 0 12092 75871 MIPLIB submission pool ab -11186253442 binary decomposition numerics precedence set_packing
ab71-20-100 easy 6689 6689 0 0 6380 41961 MIPLIB submission pool ab -10420305975 binary decomposition numerics precedence set_packing
ab51-40-100 easy 12675 12675 0 0 11893 72745 MIPLIB submission pool ab -10420305975 binary decomposition numerics precedence set_packing
reblock354 hard 3540 3540 0 0 19906 52901 Andreas Bley reblock -39280521.2281657 binary precedence knapsack

Reference

No bibliographic information available

Last Update Mär 19, 2019 by Gregor Hendel
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