manna81

variable_bound

Submitter Variables Constraints Density Status Group Objective MPS File
MIPLIB submission pool 3321 6480 6.02228e-04 easy -13164 manna81.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 3321 3321
Constraints 6480 6480
Binaries 18 18
Integers 3303 3303
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000602228 0.000602228
Nonzeroes 12960 12960
Constraint Classification Properties
Original Presolved
Total 6480 6480
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 6480 6480
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)

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 -13164 -13164 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to manna81 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
sorrell8 easy 2046 2046 0 0 18944 37888 Toni Sorrell independentset -350 binary decomposition variable_bound
sorrell7 open 2048 2048 0 0 78848 157696 Toni Sorrell independentset -197.0* binary variable_bound
sorrell3 hard 1024 1024 0 0 169162 338324 Toni Sorrell independentset -16 benchmark binary benchmark_suitable variable_bound
z26 open 17937 17937 0 0 850513 1715613 Daniel Bienstock -1194.0* binary variable_bound set_packing
sorrell4 hard 2048 2048 0 0 504451 1008902 Toni Sorrell independentset -24 binary variable_bound

Reference

No bibliographic information available

Last Update Mar 04, 2024 by Julian Manns
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