neos-1599274

binary decomposition set_packing set_covering knapsack

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
NEOS Server Submission	4500	1237	8.40744e-03	easy	neos-pseudoapplication-26	32075.6	neos-1599274.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	4500	4200
Constraints	1237	1231
Binaries	4500	4200
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00840744	0.00867471
Nonzeroes	46800	44850

Constraint Classification Properties
	Original	Presolved
Total	1237	1231
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	1140	1134
Set Covering	91	91
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	6	6
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	1.707570
Constraint %		1.6247	1.6247	1.6247	1.6247
Variable %		2.0000	2.0000	2.0000	2.0000
Score	0.796101

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	32075.6	32075.6	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-1599274 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
neos-1516309	easy	4500	4500	489	30400	NEOS Server Submission	neos-pseudoapplication-26	35954	binary decomposition set_packing set_covering knapsack
n3div36	easy	22120	22120	4484	340740	R. Meirich	nseq	130800	benchmark binary decomposition benchmark_suitable set_packing set_covering mixed_binary
n2seq36f	easy	8100	8100	285	60948	R. Meirich	nseq	52200	binary decomposition benchmark_suitable set_packing set_covering mixed_binary
sp97ar	easy	14101	14101	1761	290968	J. Goessens, S. v. Hoessel, L. Kroon	sp9	660705645.759	benchmark binary benchmark_suitable variable_bound set_packing set_covering mixed_binary
sp97ic	easy	12497	12497	1033	316629	J. Goessens, S. v. Hoessel, L. Kroon	sp9	427684487.6799999	binary decomposition benchmark_suitable variable_bound set_packing set_covering mixed_binary

Reference

No bibliographic information available