mod010

binary set_partitioning cardinality binpacking

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	2655	146	2.89013e-02	easy	mod	6548	mod010.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	2655	2655
Constraints	146	146
Binaries	2655	2655
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.0289013	0.0289013
Nonzeroes	11203	11203

Constraint Classification Properties
	Original	Presolved
Total	146	146
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	0	0
Set Partitioning	144	144
Set Packing	0	0
Set Covering	0	0
Cardinality	1	1
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	1	1
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 %		0.684932	0.684932	0.684932	0.684932
Variable %		5.838040	5.838040	5.838040	5.838040
Score	0.006449

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	6548	6548	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to mod010 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
air04	easy	8904	8904	0	0	823	72965	G. Astfalk	air	56137	binary benchmark_suitable aggregations set_partitioning
air05	easy	7195	7195	0	0	426	52121	G. Astfalk	air	26374	benchmark binary benchmark_suitable set_partitioning
air03	easy	10757	10757	0	0	124	91028	G. Astfalk	air	340160	binary aggregations set_partitioning
square23	easy	11660	11638	22	0	7887	898813	Sascha Kurz	square	13	benchmark_suitable set_partitioning general_linear
h80x6320	easy	12640	6320	0	6320	79	6320	MIPLIB submission pool	fixed-cost-network-flow	3700	binary decomposition set_partitioning

Reference

No bibliographic information available