neos-876808

binary decomposition benchmark_suitable aggregations set_packing set_covering invariant_knapsack knapsack mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
NEOS Server Submission	87268	85808	9.11257e-05	easy	neos-pseudoapplication-62	169795.259907	neos-876808.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	87268	87268
Constraints	85808	85808
Binaries	87268	87268
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	9.11257e-05	9.07294e-05
Nonzeroes	682376	679408

Constraint Classification Properties
	Original	Presolved
Total	85808	85808
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	292	292
Precedence	0	0
Variable Bound	0	0
Set Partitioning	0	0
Set Packing	292	292
Set Covering	292	292
Cardinality	0	0
Invariant Knapsack	0	5100
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	66152
Integer Knapsack	0	0
Mixed Binary	84932	13680
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	2.466868
Constraint %		0.333302	0.341300	0.341460	0.341460
Variable %		0.334601	0.342466	0.342623	0.342623
Score	0.993184

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	169795.3	169795.3	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-876808 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	Constraints	Nonz.	Submitter	Group	Objective	Tags
s1234	hard	2945	2945	8418	44641	Siwei Sun	SiweiSun	29	binary precedence set_covering invariant_knapsack binpacking knapsack
neos-4954274-beardy	hard	12865	12865	17359	140082	Jeff Linderoth	neos-pseudoapplication-62	20946.48	binary decomposition variable_bound set_partitioning set_packing set_covering cardinality invariant_knapsack binpacking knapsack
circ10-3	open	2700	2700	42620	307320	M. Winkler	–	258.0*	binary decomposition precedence variable_bound set_partitioning set_packing invariant_knapsack knapsack mixed_binary
bnatt500	easy	4500	4500	7029	27203	Tatsuya Akutsu	bnatt	Infeasible	benchmark infeasible binary benchmark_suitable precedence set_covering invariant_knapsack binpacking knapsack
bnatt400	easy	3600	3600	5614	21698	Tatsuya Akutsu	bnatt	1	benchmark binary benchmark_suitable precedence set_covering invariant_knapsack binpacking knapsack

Reference

No bibliographic information available