iis-glass-cov

binary benchmark_suitable set_covering

Submitter Variables Constraints Density Status Group Objective MPS File
Marc Pfetsch 214 5375 4.88007e-02 easy iis 21 iis-glass-cov.mps.gz

23 “middlehard” Set-Covering Instances for MIPLIB: they have a small number of variables compared to the number of constraints and CPLEX 12.1 needs about one hour to solve them.For more information, have a look into the readme file which explains how the instances can be created.

Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 214 214
Constraints 5375 5375
Binaries 214 214
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0488007 0.0488007
Nonzeroes 56133 56133
Constraint Classification Properties
Original Presolved
Total 5375 5375
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 5375 5375
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 0.301030
Constraint % 52.0558 52.0558 52.0558 52.0558
Variable % 84.5794 84.5794 84.5794 84.5794
Score 0.080273

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 21 21 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to iis-glass-cov 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
glass-sc easy 214 214 0 0 6119 63918 Marc Pfetsch maxfeassub 23 benchmark binary benchmark_suitable set_covering
iis-hc-cov easy 297 297 0 0 9727 142971 Marc Pfetsch iis 17 binary benchmark_suitable set_covering
v150d30-2hopcds open 150 150 0 0 7822 103991 Austin Buchanan 2hopcds 41* binary variable_bound set_covering
seymour easy 1372 1372 0 0 4944 33549 W. Cook, P. Seymour 423 benchmark binary benchmark_suitable variable_bound set_covering
ramos3 open 2187 2187 0 0 2187 32805 F. Ramos 195* binary set_covering

Reference

No bibliographic information available

Last Update Jun 24, 2019 by Gregor Hendel
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