sorrell3

benchmark binary benchmark_suitable variable_bound

Submitter Variables Constraints Density Status Group Objective MPS File
Toni Sorrell 1024 169162 1.95312e-03 hard independentset -16 sorrell3.mps.gz

These instances are based on Neil Sloane’s Challenge problems: Independent Sets in Graphs.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 1024 1024
Constraints 169162 169162
Binaries 1024 1024
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00195312 0.00195312
Nonzeroes 338324 338324
Constraint Classification Properties
Original Presolved
Total 169162 169162
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 169162 169162
Set Partitioning 0 0
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)

No solution available for sorrell3 .

Similar instances in collection

The following instances are most similar to sorrell3 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
sorrell4 open 2048 2048 0 0 504451 1008900 Toni Sorrell independentset -23* binary variable_bound
sorrell7 open 2048 2048 0 0 78848 157696 Toni Sorrell independentset -185* binary variable_bound
z26 open 17937 17937 0 0 850513 1715610 Daniel Bienstock -1101* binary variable_bound set_packing
sorrell8 open 2046 2046 0 0 18944 37888 Toni Sorrell independentset -350* binary decomposition variable_bound
manna81 easy 3321 18 3303 0 6480 12960 MIPLIB submission pool -13164 variable_bound

Reference

No bibliographic information available

Last Update Apr 09, 2019 by Gregor Hendel
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