nu4-pr9

decomposition numerics aggregations variable_bound cardinality general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	7350	2220	1.35907e-03	easy	nus-prxy	35520	nu4-pr9.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	7350	7312
Constraints	2220	2185
Binaries	7308	7270
Integers	42	42
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00135907	0.00137794
Nonzeroes	22176	22015

Constraint Classification Properties
	Original	Presolved
Total	2220	2185
Empty	0	0
Free	0	0
Singleton	4	0
Aggregations	174	162
Precedence	0	0
Variable Bound	6	3
Set Partitioning	14	0
Set Packing	0	0
Set Covering	0	0
Cardinality	1900	1907
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	122	113
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	1.954243
Constraint %		0.0457666	1.07834	1.09840	1.23570
Variable %		0.0272814	1.11992	1.14582	1.14582
Score	0.948869

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	35520	35520	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to nu4-pr9 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
nu120-pr12	easy	5868	5832	36	0	2313	17712	MIPLIB submission pool	nus-prxy	42215	decomposition aggregations variable_bound cardinality general_linear
tbfp-network	easy	72747	72747	0	0	2436	215837	Rob Pratt	–	24.16319444	benchmark binary benchmark_suitable set_partitioning cardinality
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