cod105

benchmark binary benchmark_suitable set_packing

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	1024	1024	5.46875e-02	easy	–	-12	cod105.mps.gz

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	1024	1024
Constraints	1024	1024
Binaries	1024	1024
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.0546875	0.0546875
Nonzeroes	57344	57344

Constraint Classification Properties
	Original	Presolved
Total	1024	1024
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	1024	1024
Set Covering	0	0
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	0.30103
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	-12	-12	0	0	0	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to cod105 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
cdc7-4-3-2	open	11811	11811	14478	259842	Sascha Kurz	–	-296.0*	binary set_packing
a2864-99blp	open	200787	200787	22117	20078717	Daniel Heinlein	selofsubspaces	-257*	binary set_packing invariant_knapsack
sorrell8	easy	2046	2046	18944	37888	Toni Sorrell	independentset	-350	binary decomposition variable_bound
sorrell7	open	2048	2048	78848	157696	Toni Sorrell	independentset	-198.0*	binary variable_bound
sorrell3	easy	1024	1024	169162	338324	Toni Sorrell	independentset	-16	benchmark binary benchmark_suitable variable_bound

Reference

No bibliographic information available