n2seq36f

binary decomposition benchmark_suitable set_packing set_covering mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
R. Meirich	8100	285	2.64016e-02	easy	nseq	52200	n2seq36f.mps.gz

Static line planning models on the Dutch IC network 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	8100	8100
Constraints	285	285
Binaries	8100	8100
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.0264016	0.0264016
Nonzeroes	60948	60948

Constraint Classification Properties
	Original	Presolved
Total	285	285
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	225	225
Set Covering	2	2
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	58	58
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	2.354108
Constraint %		0.350877	0.350877	0.350877	0.350877
Variable %		0.444444	0.444444	0.444444	0.444444
Score	0.785965

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	52200	52200	0	0	0	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to n2seq36f 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
neos-1599274	easy	4500	4500	1237	46800	NEOS Server Submission	neos-pseudoapplication-26	32075.6	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
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
sp98ic	easy	10894	10894	825	316317	J. Goessens, S. v. Hoessel, L. Kroon	sp9	449144758.4	binary decomposition benchmark_suitable variable_bound set_packing set_covering mixed_binary

Reference

No bibliographic information available