npmv07

numerics aggregations variable_bound mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Q. Chen	220686	76342	5.10229e-05	easy	–	104809812543.8479	npmv07.mps.gz

Unknown application Imported from MIPLIB2010.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	220686	213798
Constraints	76342	75334
Binaries	1880	1880
Integers	0	0
Continuous	218806	211918
Implicit Integers	0	0
Fixed Variables	5880	0
Nonzero Density	5.10229e-05	5.24883e-05
Nonzeroes	859614	845390

Constraint Classification Properties
	Original	Presolved
Total	76342	75334
Empty	0	0
Free	0	0
Singleton	728	0
Aggregations	0	616
Precedence	0	0
Variable Bound	52640	52640
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	22974	22078
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	3.397419
Constraint %		0.001330	0.0283226	0.0371678	0.0371678
Variable %		0.000935	0.0055200	0.0070200	0.0070200
Score	0.706883

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	104809812544	104809836625	0	1.94e-05	0.0017309	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to npmv07 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
Test3	easy	72215	33143	39072	50680	617867	MIPLIB submission pool	–	2673520.21135	numerics aggregations variable_bound set_partitioning binpacking knapsack mixed_binary
bharat	open	590519	122614	467905	1299953	3565462	Gavin Goodall	–	4170993.421512462*	numerics aggregations precedence variable_bound mixed_binary
misc04inf	easy	4897	30	4867	1726	17253	MIPLIB submission pool	misc	Infeasible	infeasible aggregations precedence variable_bound set_packing mixed_binary general_linear
gasprod2-1	easy	29568	7389	22179	73448	282846	Andrew Stamps	gasprod	1628548.2968	numerics aggregations precedence variable_bound invariant_knapsack binpacking mixed_binary
neos-5273874-yomtsa	hard	136971	232	136739	486492	1955349	Hans Mittelmann	neos-pseudoapplication-19	0	aggregations variable_bound set_partitioning set_packing cardinality mixed_binary

Reference

@misc{coral,
 key = {zzz coral},
 note = {http://coral.ie.lehigh.edu/data-sets/mixed-integer-instances/},
 title = {{COR@L} {MIP} {I}nstances},
 year = {2010}
}