neos-4754521-awarau

binary feasibility benchmark_suitable aggregations precedence cardinality invariant_knapsack binpacking

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Jeff Linderoth	41680	255386	1.16256e-04	easy	neos-pseudoapplication-51	0	neos-4754521-awarau.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	41680	34680
Constraints	255386	235456
Binaries	41680	34680
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000116256	0.000143966
Nonzeroes	1237480	1175570

Constraint Classification Properties
	Original	Presolved
Total	255386	235456
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	21956	21956
Precedence	38064	27584
Variable Bound	0	0
Set Partitioning	0	0
Set Packing	0	0
Set Covering	0	0
Cardinality	66	66
Invariant Knapsack	32200	179200
Equation Knapsack	0	0
Bin Packing	16100	6650
Knapsack	147000	0
Integer Knapsack	0	0
Mixed Binary	0	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	3.022016
Constraint %		0.0084900	0.0724145	0.0127412	62.4320
Variable %		0.0288351	0.0634591	0.0346021	30.3633
Score	0.571463

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	0	0	0	0	0	-	2018-10-15	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-4754521-awarau 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
genus-sym-g62-2	open	12912	12910	1	1	78472	275855	Stephan Beyer	genus	-38.0*	precedence set_partitioning set_covering cardinality invariant_knapsack knapsack general_linear
genus-g61-25	open	14380	14378	1	1	94735	332877	Stephan Beyer	genus	-40.0*	numerics set_partitioning set_covering cardinality invariant_knapsack knapsack general_linear
supportcase10	hard	14770	14770	0	0	165684	555082	Michael Winkler	–	7	benchmark binary benchmark_suitable aggregations precedence variable_bound set_covering invariant_knapsack
neos-950242	easy	5760	5520	240	0	34224	104160	NEOS Server Submission	neos-pseudoapplication-72	4	benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning set_covering invariant_knapsack general_linear
genus-sym-grafo5708-48	open	3379	3377	1	1	20538	72579	Stephan Beyer	genus	-21*	precedence set_partitioning set_covering cardinality invariant_knapsack knapsack general_linear

Reference

No bibliographic information available