neos-4954274-beardy

binary decomposition variable_bound set_partitioning set_packing set_covering cardinality invariant_knapsack binpacking knapsack

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Jeff Linderoth	12865	17359	6.2726e-04	hard	neos-pseudoapplication-62	20946.48	neos-4954274-beardy.mps.gz

Reported solved after 77000 seconds using Gurobi with 32 threads.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	12865	12820
Constraints	17359	17346
Binaries	12865	12820
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000627260	0.000629642
Nonzeroes	140082	140017

Constraint Classification Properties
	Original	Presolved
Total	17359	17346
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	4	4
Set Partitioning	18	18
Set Packing	3440	3432
Set Covering	20	20
Cardinality	70	70
Invariant Knapsack	2	2
Equation Knapsack	0	0
Bin Packing	3095	3090
Knapsack	9730	10710
Integer Knapsack	0	0
Mixed Binary	980	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	0.7781512
Constraint %		19.7763	19.8985	19.8051	20.3067
Variable %		19.8986	19.9922	19.8986	20.3665
Score	0.7959990

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	20946.48	20946.48	0	0	0	Hans Mittelmann	2018-11-01	Found using Gurobi with 32 threads

Similar instances in collection

The following instances are most similar to neos-4954274-beardy 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
neos-876808	easy	87268	87268	85808	682376	NEOS Server Submission	neos-pseudoapplication-62	169795.259907	binary decomposition benchmark_suitable aggregations set_packing set_covering invariant_knapsack knapsack mixed_binary
s1234	hard	2945	2945	8418	44641	Siwei Sun	SiweiSun	29	binary precedence set_covering invariant_knapsack binpacking knapsack
circ10-3	open	2700	2700	42620	307320	M. Winkler	–	256.0*	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