neos-5178119-nalagi

benchmark_suitable precedence set_partitioning set_packing set_covering cardinality invariant_knapsack knapsack mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Jeff Linderoth	4167	6921	2.5824e-03	easy	neos-pseudoapplication-62	22.73999999763	neos-5178119-nalagi.mps.gz

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	4167	4167
Constraints	6921	6921
Binaries	4068	4068
Integers	0	72
Continuous	99	27
Implicit Integers	0	72
Fixed Variables	0	0
Nonzero Density	0.0025824	0.0025824
Nonzeroes	74476	74476

Constraint Classification Properties
	Original	Presolved
Total	6921	6921
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	14	14
Variable Bound	0	0
Set Partitioning	66	66
Set Packing	18	18
Set Covering	0	60
Cardinality	16	16
Invariant Knapsack	60	1791
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	1800
Integer Knapsack	0	0
Mixed Binary	6747	204
General Linear	0	2952
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	0.602060
Constraint %		23.0001	23.0001	23.0001	23.0001
Variable %		31.6775	31.6775	31.6775	31.6775
Score	0.471428

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	22.74	22.74	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.
1	22.74	22.74	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-5178119-nalagi 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	Integers	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
bnatt500	easy	4500	4500	0	0	7029	27203	Tatsuya Akutsu	bnatt	Infeasible	benchmark infeasible binary benchmark_suitable precedence set_covering invariant_knapsack binpacking knapsack
bnatt400	easy	3600	3600	0	0	5614	21698	Tatsuya Akutsu	bnatt	1	benchmark binary benchmark_suitable precedence set_covering invariant_knapsack binpacking knapsack
neos-4360552-sangro	open	10272	9696	576	0	46012	302184	Hans Mittelmann	neos-pseudoapplication-62	-8.0*	decomposition precedence variable_bound set_packing set_covering cardinality invariant_knapsack equation_knapsack binpacking knapsack integer_knapsack general_linear
neos-5182409-nasivi	easy	2005	1600	0	405	580	14884	Jeff Linderoth	neos-pseudoapplication-32	301.99999992	benchmark_suitable aggregations set_partitioning set_packing invariant_knapsack mixed_binary general_linear
bley_xl1	easy	5831	5831	0	0	175620	869391	A. Bley	bley_x	190	binary numerics aggregations variable_bound set_partitioning set_packing cardinality invariant_knapsack binpacking knapsack mixed_binary

Reference

No bibliographic information available