neos-3214367-sovi

aggregations variable_bound set_partitioning set_packing set_covering cardinality invariant_knapsack binpacking general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Jeff Linderoth	4318	7244	3.00231e-03	hard	neos-pseudoapplication-56	179965	neos-3214367-sovi.mps.gz

Solved in 21 days with four restarted runs of ParaXpress.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	4318	4318
Constraints	7244	7244
Binaries	4139	4139
Integers	179	179
Continuous	0	0
Implicit Integers	0	108
Fixed Variables	0	0
Nonzero Density	0.00300231	0.00300231
Nonzeroes	93911	93911

Constraint Classification Properties
	Original	Presolved
Total	7244	7244
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	7	7
Precedence	0	0
Variable Bound	1940	1940
Set Partitioning	167	170
Set Packing	1035	1035
Set Covering	0	9
Cardinality	224	221
Invariant Knapsack	3182	3173
Equation Knapsack	0	0
Bin Packing	438	438
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	0	0
General Linear	251	251
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	2.359835
Constraint %		0.0138045	0.154695	0.0138045	2.08448
Variable %		0.0463177	0.405788	0.0463177	5.16443
Score	0.336798

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	179965	179965	0	0	0	Yuji Shinano	2019-01-28	Solved in 21 days with four restarted runs of ParaXpress.

Similar instances in collection

The following instances are most similar to neos-3214367-sovi 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
neos-3216931-puriri	easy	3555	3268	0	287	5989	91691	Jeff Linderoth	neos-pseudoapplication-56	71320	benchmark benchmark_suitable aggregations variable_bound set_partitioning set_packing set_covering cardinality invariant_knapsack binpacking knapsack general_linear
nursesched-sprint02	easy	10250	10230	20	0	3522	204000	Haroldo Gambini Santos	nursescheduling	57.99999999999999	benchmark benchmark_suitable set_partitioning set_packing cardinality invariant_knapsack general_linear
neos-932721	easy	22266	21825	0	441	18085	107908	NEOS Server Submission	neos-pseudoapplication-56	52030	decomposition precedence variable_bound set_packing invariant_knapsack mixed_binary
nursesched-medium04	easy	29667	29613	54	0	8668	621829	Haroldo Gambini Santos	nursescheduling	237	decomposition benchmark_suitable set_partitioning set_packing set_covering cardinality invariant_knapsack general_linear
neos-1223462	easy	5495	5180	315	0	5890	47040	NEOS Server Submission	neos-pseudoapplication-12	-751.0000000645	benchmark_suitable variable_bound set_partitioning set_packing cardinality invariant_knapsack equation_knapsack knapsack general_linear

Reference

No bibliographic information available