nu120-pr12

decomposition aggregations variable_bound cardinality general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	5868	2313	1.30497e-03	easy	nus-prxy	42215	nu120-pr12.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	5868	5834
Constraints	2313	2275
Binaries	5832	5798
Integers	36	36
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00130497	0.00132335
Nonzeroes	17712	17564

Constraint Classification Properties
	Original	Presolved
Total	2313	2275
Empty	0	0
Free	0	0
Singleton	10	0
Aggregations	405	388
Precedence	0	0
Variable Bound	16	13
Set Partitioning	29	0
Set Packing	0	0
Set Covering	0	0
Cardinality	1753	1782
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	0	0
General Linear	100	92
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	2.394452
Constraint %		0.0447227	0.393632	0.0447227	4.74061
Variable %		0.0343879	0.401169	0.0343879	3.11210
Score	0.960413

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	42215	42215	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to nu120-pr12 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
nu120-pr9	easy	7350	7308	42	0	2220	22176	MIPLIB submission pool	nus-prxy	24945	decomposition numerics aggregations variable_bound cardinality general_linear
nu25-pr12	easy	5868	5832	36	0	2313	17712	MIPLIB submission pool	nus-prxy	53904.99999999999	benchmark decomposition benchmark_suitable aggregations variable_bound cardinality general_linear
nu4-pr9	easy	7350	7308	42	0	2220	22176	MIPLIB submission pool	nus-prxy	35520	decomposition numerics aggregations variable_bound cardinality general_linear
fiber	easy	1298	1254	0	44	363	2944	MIPLIB submission pool	–	405935.18	decomposition aggregations set_partitioning cardinality general_linear
neos-827175	easy	32504	21350	0	11154	14187	110790	NEOS Server Submission	neos-pseudoapplication-87	112.00152	benchmark decomposition benchmark_suitable aggregations set_partitioning set_packing cardinality binpacking mixed_binary general_linear

Reference

No bibliographic information available