neos-941313

binary decomposition benchmark_suitable set_partitioning set_packing cardinality invariant_knapsack knapsack

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
NEOS Server Submission	167910	13189	2.18589e-04	easy	neos-pseudoapplication-81	9360.999999999985	neos-941313.mps.gz

Instance coming from the NEOS Server with 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	167910	130710
Constraints	13189	13189
Binaries	167910	130710
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000218589	0.000240427
Nonzeroes	484080	414480

Constraint Classification Properties
	Original	Presolved
Total	13189	13189
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	0	0
Set Partitioning	9	9
Set Packing	780	2940
Set Covering	1170	0
Cardinality	40	40
Invariant Knapsack	0	10170
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	30	30
Integer Knapsack	0	0
Mixed Binary	11160	0
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	1.491362
Constraint %		3.32095	3.32095	3.32095	3.32095
Variable %		3.33333	3.33333	3.33333	3.33333
Score	0.963075

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
2	9361	9361	0	0	0	-	2018-10-10	Solution found during MIPLIB2017 problem selection.
1	9361	9361	0	0	0	-	2018-10-10	Solution imported from MIPLIB2010.

Similar instances in collection

The following instances are most similar to neos-941313 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
n2seq36q	easy	22480	22480	2565	183292	R. Meirich	nseq	52200	benchmark binary benchmark_suitable set_packing set_covering invariant_knapsack binpacking knapsack
bab5	easy	21600	21600	4964	155520	Elmar Swarat	bab	-106411.8401	binary decomposition benchmark_suitable aggregations set_partitioning set_packing set_covering cardinality invariant_knapsack equation_knapsack knapsack mixed_binary
neos-3555904-turama	easy	37461	37461	146493	793605	Hans Mittelmann	neos-pseudoapplication-81	-34.7	benchmark binary benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack
bab2	hard	147912	147912	17245	2027726	Elmar Swarat	bab	-357544.3115	benchmark binary decomposition benchmark_suitable aggregations set_partitioning set_packing set_covering cardinality invariant_knapsack equation_knapsack knapsack mixed_binary
graph40-20-1rand	open	31243	31243	99067	345557	Michael Bastubbe	graphs	-15*	binary decomposition precedence set_partitioning invariant_knapsack

Reference

@misc{neos,
 key = {zzz neos},
 note = {http://www.neos-server.org},
 title = {{NEOS} {S}erver for {O}ptimization},
 year = {2011}
}