neos-1601936

benchmark_suitable set_partitioning set_covering invariant_knapsack mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
NEOS Server Submission	4446	3131	5.20817e-03	easy	neos-pseudoapplication-5	2.99999999999894	neos-1601936.mps.gz

Instance coming from the NEOS Server with unknown application Imported from MIPLIB2010.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	4446	4361
Constraints	3131	3131
Binaries	3906	3906
Integers	0	0
Continuous	540	455
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00520817	0.00530793
Nonzeroes	72500	72476

Constraint Classification Properties
	Original	Presolved
Total	3131	3131
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	0	0
Set Partitioning	579	579
Set Packing	0	0
Set Covering	5	5
Cardinality	0	0
Invariant Knapsack	0	24
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	2547	2523
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	0.698970
Constraint %		0.670712	20.3769	0.670712	79.4954
Variable %		0.525955	21.8671	0.766064	85.4105
Score	0.135963

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
2	3	3	0	0	0	-	2018-10-13	Solution imported from MIPLIB2010.
1	3	3	0	0	0	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-1601936 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-691058	easy	3006	1755	1251	2667	30837	NEOS Server Submission	neos-pseudoapplication-110	296.999999999986	benchmark_suitable set_partitioning cardinality mixed_binary
neos-503737	easy	2850	2500	350	500	16850	NEOS Server Submission	neos-pseudoapplication-47	50	benchmark_suitable set_partitioning mixed_binary
neos-1605061	easy	4111	3570	541	3474	93483	NEOS Server Submission	neos-pseudoapplication-5	11.99999999556169	benchmark_suitable set_partitioning set_covering invariant_knapsack mixed_binary
ns1830653	easy	1629	1458	171	2932	100933	NEOS Server Submission	neos-pseudoapplication-110	20622	benchmark benchmark_suitable variable_bound set_partitioning set_packing cardinality invariant_knapsack knapsack mixed_binary
neos-4477313-unzha	easy	2193	2016	177	4174	30400	Jeff Linderoth	neos-pseudoapplication-110	Unbounded	numerics set_partitioning mixed_binary

Reference

@misc{neos,
 key = {zzz neos},
 note = {http://www.neos-server.org},
 title = {{NEOS} {S}erver for {O}ptimization},
 year = {2011}
}