Submitter Variables Constraints Density Status Group Objective MPS File
W. Cook, P. Seymour 1372 4944 4.94592e-03 easy 423 seymour.mps.gz

A set-covering problem that arose from work related to the proof of the 4-color theorem.

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 1372 1255
Constraints 4944 4827
Binaries 1372 1255
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00494592 0.00551876
Nonzeroes 33549 33432
Constraint Classification Properties
Original Presolved
Total 4944 4827
Empty 0 0
Free 0 0
Singleton 117 0
Aggregations 0 0
Precedence 0 0
Variable Bound 285 285
Set Partitioning 0 0
Set Packing 0 0
Set Covering 4542 4542
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 0.7781512
Constraint % 0.0207168 18.8191 0.0207168 94.0128
Variable % 0.2186590 17.3469 0.2915450 85.5685
Score 0.1365010

Best Known Solution(s)

No solution available for seymour .

Similar instances in collection

The following instances are most similar to seymour 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 Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
ramos3 2187 2187 0 0 2187 32805 F. Ramos open 220*
iis-glass-cov 214 214 0 0 5375 56133 Marc Pfetsch iis easy 21
glass-sc 214 214 0 0 6119 63918 Marc Pfetsch maxfeassub easy 23
v150d30-2hopcds 150 150 0 0 7822 103991 Austin Buchanan 2hopcds open 41*
iis-hc-cov 297 297 0 0 9727 142971 Marc Pfetsch iis easy 17

Reference

No bibliographic information available

Last Update Nov 09, 2018 by Gregor Hendel
generated with R Markdown
© 2018 by Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)
Imprint