glass-sc

benchmark binary benchmark_suitable set_covering

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Marc Pfetsch	214	6119	4.88123e-02	easy	maxfeassub	23	glass-sc.mps.gz

Set covering problems arising from a Benders algorithm for finding maximum feasible subsystems. More details on the generation is given in the README file in the tarball.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	214	214
Constraints	6119	6119
Binaries	214	214
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.0488123	0.0488123
Nonzeroes	63918	63918

Constraint Classification Properties
	Original	Presolved
Total	6119	6119
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	6119	6119
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 %		51.3809	51.3809	51.3809	51.3809
Variable %		84.1121	84.1121	84.1121	84.1121
Score	0.081633

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	23	23	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to glass-sc 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
iis-glass-cov	easy	214	214	5375	56133	Marc Pfetsch	iis	20.99999999999999	binary benchmark_suitable set_covering
iis-hc-cov	easy	297	297	9727	142971	Marc Pfetsch	iis	17	binary benchmark_suitable set_covering
v150d30-2hopcds	hard	150	150	7822	103991	Austin Buchanan	2hopcds	41.0	binary variable_bound set_covering
seymour	easy	1372	1372	4944	33549	W. Cook, P. Seymour	–	423	benchmark binary benchmark_suitable variable_bound set_covering
ramos3	open	2187	2187	2187	32805	F. Ramos	–	186.0*	binary set_covering

Reference

No bibliographic information available