neos-932721

decomposition precedence variable_bound set_packing invariant_knapsack mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
NEOS Server Submission	22266	18085	2.67974e-04	easy	neos-pseudoapplication-56	52030	neos-932721.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	22266	8248
Constraints	18085	3883
Binaries	21825	8100
Integers	0	0
Continuous	441	148
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000267974	0.001065450
Nonzeroes	107908	34123

Constraint Classification Properties
	Original	Presolved
Total	18085	3883
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	6870	270
Variable Bound	15	225
Set Partitioning	0	0
Set Packing	3078	1620
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	7974	1620
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	148	148
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	0.7781512
Constraint %		19.2377	19.2377	19.2377	19.2377
Variable %		19.6411	19.6411	19.6411	19.6411
Score	0.7729600

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	52030	52030	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-932721 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
neos-933966	easy	31762	27982	0	3780	12047	180618	NEOS Server Submission	neos-pseudoapplication-34	318	benchmark benchmark_suitable precedence variable_bound set_packing invariant_knapsack mixed_binary
p0201	easy	201	201	0	0	133	1923	MIPLIB submission pool	pfour	7614.999999999997	binary set_packing set_covering invariant_knapsack knapsack mixed_binary
neos-3216931-puriri	easy	3555	3268	0	287	5989	91691	Jeff Linderoth	neos-pseudoapplication-56	71320	benchmark benchmark_suitable aggregations variable_bound set_partitioning set_packing set_covering cardinality invariant_knapsack binpacking knapsack general_linear
graphdraw-gemcutter	easy	166	112	16	38	474	1420	Cézar Augusto Nascimento e Silva	graphdraw	7118.5	benchmark_suitable variable_bound set_partitioning invariant_knapsack mixed_binary general_linear
graphdraw-domain	easy	254	180	20	54	865	2600	Cézar Augusto Nascimento e Silva	graphdraw	19685.99997550038	benchmark benchmark_suitable variable_bound set_partitioning invariant_knapsack mixed_binary general_linear

Reference

No bibliographic information available