ab71-20-100

binary decomposition numerics precedence set_packing

Submitter Variables Constraints Density Status Group Objective MPS File
MIPLIB submission pool 6689 6380 9.8325e-04 easy ab -10420305975 ab71-20-100.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 6689 6688
Constraints 6380 6374
Binaries 6689 6688
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000983250 0.000984205
Nonzeroes 41961 41956
Constraint Classification Properties
Original Presolved
Total 6380 6374
Empty 3 0
Free 0 0
Singleton 1 0
Aggregations 0 0
Precedence 6255 6253
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 2.637490
Constraint % 0.0313775 0.226563 0.0784437 1.83558
Variable % 0.0448498 0.230843 0.0896995 1.76409
Score 0.972646

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 -10420305975 -10420305975 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ab71-20-100 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
ab72-40-100 easy 12370 12370 0 0 11671 72137 MIPLIB submission pool ab -11186620442 binary decomposition numerics precedence set_packing
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
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 Mar 04, 2024 by Julian Manns
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