Submitter Variables Constraints Density Status Group Objective MPS File
Marc Pfetsch 297 9727 4.94894e-02 easy iis 17 iis-hc-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 297 293
Constraints 9727 9727
Binaries 297 293
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0494894 0.0501651
Nonzeroes 142971 142971
Constraint Classification Properties
Original Presolved
Total 9727 9727
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 9727 9727
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 % 26.4933 26.4933 26.4933 26.4933
Variable % 97.2696 97.2696 97.2696 97.2696
Score 0.007234

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 17 17 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to iis-hc-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 Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
glass-sc 214 214 0 0 6119 63918 Marc Pfetsch maxfeassub easy 23
iis-glass-cov 214 214 0 0 5375 56133 Marc Pfetsch iis easy 21
v150d30-2hopcds 150 150 0 0 7822 103991 Austin Buchanan 2hopcds open 41*
ramos3 2187 2187 0 0 2187 32805 F. Ramos open 220*
seymour 1372 1372 0 0 4944 33549 W. Cook, P. Seymour easy 423

Reference

No bibliographic information available

Last Update Nov 09, 2018 by Gregor Hendel
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