iis-hc-cov

binary benchmark_suitable set_covering

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.

Location of instance in collection

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.

Nonzero entries of original problem

Nonzero entries after trivial presolving

Decomposed structure of original problem (dec-file)

Decomposed structure after trivial presolving (dec-file)

	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	Status	Variables	Binaries	Constraints	Nonz.	Submitter	Group	Objective	Tags
glass-sc	easy	214	214	6119	63918	Marc Pfetsch	maxfeassub	23	benchmark binary benchmark_suitable set_covering
iis-glass-cov	easy	214	214	5375	56133	Marc Pfetsch	iis	20.99999999999999	binary benchmark_suitable set_covering
v150d30-2hopcds	hard	150	150	7822	103991	Austin Buchanan	2hopcds	41.0	binary variable_bound set_covering
ramos3	open	2187	2187	2187	32805	F. Ramos	–	186.0*	binary set_covering
seymour	easy	1372	1372	4944	33549	W. Cook, P. Seymour	–	423	benchmark binary benchmark_suitable variable_bound set_covering

Reference

No bibliographic information available