ns4-pr6

decomposition aggregations variable_bound mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	6919	2639	1.14287e-03	easy	nus-prxy	29314	ns4-pr6.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	6919	6827
Constraints	2639	2571
Binaries	0	0
Integers	37	37
Continuous	6882	6790
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00114287	0.00116886
Nonzeroes	20868	20516

Constraint Classification Properties
	Original	Presolved
Total	2639	2571
Empty	0	0
Free	0	0
Singleton	8	0
Aggregations	372	347
Precedence	0	0
Variable Bound	32	24
Set Partitioning	0	0
Set Packing	0	0
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	2139	2118
General Linear	88	82
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	2.561101
Constraint %		0.0394011	0.268535	0.0394011	3.50670
Variable %		0.0292312	0.272221	0.0292312	2.55773
Score	0.964874

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	29314	29314	0	1e-07	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ns4-pr6 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
ns2122698	open	155103	16447	138656	139280	424272	Timo Berthold	neos-pseudoapplication-93	68749.99988531263*	decomposition aggregations set_partitioning set_packing cardinality mixed_binary general_linear
ns2124243	open	156083	16447	139636	139280	429032	Timo Berthold	neos-pseudoapplication-93	77460*	decomposition aggregations variable_bound set_partitioning cardinality mixed_binary general_linear
binkar10_1	easy	2298	170	2128	1026	4496	H. Mittelmann	–	6742.1998835	benchmark benchmark_suitable aggregations mixed_binary
neos-824661	easy	45390	15640	29750	18804	138890	NEOS Server Submission	neos-pseudoapplication-93	33	decomposition benchmark_suitable set_partitioning set_packing cardinality binpacking mixed_binary
neos-1396125	easy	1161	129	1032	1494	5511	NEOS Server Submission	neos-pseudoapplication-96	3000.0453373	benchmark_suitable precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack knapsack mixed_binary

Reference

No bibliographic information available