nsrand-ipx

benchmark_suitable set_packing set_covering mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	6621	735	4.58777e-02	easy	–	51200	nsrand-ipx.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	6621	6621
Constraints	735	721
Binaries	6620	6620
Integers	0	0
Continuous	1	1
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.0458777	0.0458217
Nonzeroes	223261	218741

Constraint Classification Properties
	Original	Presolved
Total	735	721
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	331	331
Set Covering	0	51
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	404	339
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	2.521138
Constraint %		0.138696	0.138696	0.138696	0.138696
Variable %		0.302069	0.302069	0.302069	0.302069
Score	0.457698

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	51200	51200	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to nsrand-ipx 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
neos6	easy	8786	8340	446	1036	251946	NEOS Server Submission	neos-pseudoapplication-47	83	benchmark_suitable set_packing set_covering invariant_knapsack knapsack mixed_binary
n2seq36f	easy	8100	8100	0	285	60948	R. Meirich	nseq	52200	binary decomposition benchmark_suitable set_packing set_covering mixed_binary
bppc4-08	easy	1456	1454	2	111	23964	Manuel Iori	bppc	53	benchmark benchmark_suitable set_partitioning mixed_binary
neos-911970	easy	888	840	48	107	3408	NEOS Server Submission	neos-pseudoapplication-70	54.76	benchmark benchmark_suitable set_partitioning set_covering mixed_binary
probportfolio	hard	320	300	20	302	6620	Feng Qiu	–	16.734246764	invariant_knapsack mixed_binary

Reference

No bibliographic information available