neos-911970

benchmark benchmark_suitable set_partitioning set_covering mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
NEOS Server Submission	888	107	3.58676e-02	easy	neos-pseudoapplication-70	54.76	neos-911970.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	888	888
Constraints	107	107
Binaries	840	840
Integers	0	0
Continuous	48	48
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.0358676	0.0358676
Nonzeroes	3408	3408

Constraint Classification Properties
	Original	Presolved
Total	107	107
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	0	0
Set Partitioning	35	35
Set Packing	0	0
Set Covering	24	24
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	48	48
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	1.39794
Constraint %		2.80374	2.80374	2.80374	2.80374
Variable %		4.16667	4.16667	4.16667	4.16667
Score	0.64486

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	54.76	54.76	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-911970 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
assign1-5-8	easy	156	130	0	26	161	3720	Robert Fourer	assign1	211.999999999998	benchmark benchmark_suitable set_partitioning cardinality mixed_binary
mad	easy	220	200	0	20	51	2808	Koichi Fujii	–	0.0268	benchmark benchmark_suitable set_partitioning set_packing invariant_knapsack mixed_binary
assign1-10-4	open	572	520	0	52	582	28280	Robert Fourer	assign1	422*	set_partitioning cardinality mixed_binary
bppc8-09	easy	431	423	6	2	67	9051	Manuel Iori	bppc	471.9999999999998	benchmark_suitable set_partitioning mixed_binary
neos-503737	easy	2850	2500	0	350	500	16850	NEOS Server Submission	neos-pseudoapplication-47	50	benchmark_suitable set_partitioning mixed_binary

Reference

No bibliographic information available