ex1010-pi

binary set_covering

Submitter Variables Constraints Density Status Group Objective MPS File
M. Winkler 25200 1468 2.76032e-03 open 239* ex1010-pi.mps.gz

Logic synthesis problem from the 2010 SAT conference pseudo-Boolean competition

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 25200 25200
Constraints 1468 1468
Binaries 25200 25200
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00276032 0.00276032
Nonzeroes 102114 102114
Constraint Classification Properties
Original Presolved
Total 1468 1468
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 0 0
Set Packing 0 0
Set Covering 1468 1468
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
1 239 239 0 0 0 - 2018-10-10 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ex1010-pi 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
ramos3 open 2187 2187 0 0 2187 32805 F. Ramos 195* binary set_covering
seymour easy 1372 1372 0 0 4944 33549 W. Cook, P. Seymour 423 benchmark binary benchmark_suitable variable_bound set_covering
fast0507 easy 63009 63009 0 0 507 409349 MIPLIB submission pool 174 benchmark binary benchmark_suitable variable_bound set_covering
iis-glass-cov easy 214 214 0 0 5375 56133 Marc Pfetsch iis 21 binary benchmark_suitable set_covering
glass-sc easy 214 214 0 0 6119 63918 Marc Pfetsch maxfeassub 23 benchmark binary benchmark_suitable set_covering

Reference

@misc{pseudoboolean,
 key = {pseudoboolean},
 note = {http://www.cril.univ-artois.fr/PB10/},
 title = {{P}seudo-{B}oolean {C}ompetition 2010},
 year = {2010}
}

Last Update Apr 09, 2019 by Gregor Hendel
generated with R Markdown
© 2019 by Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)
Imprint