neos-829552

binary numerics precedence set_partitioning cardinality invariant_knapsack

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
NEOS Server Submission	40971	5153	4.11854e-04	easy	neos-pseudoapplication-95	2.31958979	neos-829552.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	40971	40971
Constraints	5153	5153
Binaries	40971	40971
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000411854	0.000411854
Nonzeroes	86952	86952

Constraint Classification Properties
	Original	Presolved
Total	5153	5153
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	2535	2535
Variable Bound	0	0
Set Partitioning	2535	2535
Set Packing	0	0
Set Covering	0	0
Cardinality	82	82
Invariant Knapsack	1	1
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	1.924279
Constraint %		0.0194062	0.612113	0.640404	0.698622
Variable %		0.1073930	1.204820	1.278950	1.532790
Score	0.501680

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	2.31959	2.31959	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-829552 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	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
neos-827015	easy	79347	79347	0	7688	166239	NEOS Server Submission	neos-pseudoapplication-95	2.31958979	binary numerics precedence set_partitioning cardinality invariant_knapsack
neos-831188	easy	4612	4612	0	2185	11256	NEOS Server Submission	neos-pseudoapplication-94	2.613774619999999	binary benchmark_suitable aggregations precedence set_partitioning cardinality invariant_knapsack
neos-780889	easy	182700	182700	0	73910	497210	NEOS Server Submission	neos-pseudoapplication-94	3421500	binary benchmark_suitable aggregations set_partitioning cardinality mixed_binary
sing5	open	154463	146210	8253	92183	408715	Daniel Espinoza	sing	18778435.60767737*	decomposition aggregations variable_bound set_partitioning cardinality mixed_binary
sing11	open	175352	165337	10015	105858	479075	Daniel Espinoza	sing	19108639.43924989*	decomposition aggregations variable_bound set_partitioning cardinality mixed_binary

Reference

No bibliographic information available