h50x2450

decomposition benchmark_suitable variable_bound set_partitioning mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	4900	2549	9.72931e-04	easy	fixed-cost-network-flow	32906.880834	h50x2450.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	4900	4851
Constraints	2549	2500
Binaries	2450	2450
Integers	0	0
Continuous	2450	2401
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000972931	0.000993939
Nonzeroes	12152	12054

Constraint Classification Properties
	Original	Presolved
Total	2549	2500
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	2450	2401
Set Partitioning	49	49
Set Packing	0	0
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	50	50
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	3.371806
Constraint %		0.0400000	0.0408330	0.0400000	2.0000
Variable %		0.0412286	0.0420697	0.0412286	2.0202
Score	0.960008

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	32906.88	32906.88	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to h50x2450 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	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
n370b	open	10000	5000	5000	5150	20000	J. Aronson	n37	1220708.0*	decomposition variable_bound mixed_binary
n3707	open	10000	5000	5000	5150	20000	J. Aronson	n37	1186691.0*	decomposition variable_bound mixed_binary
n3700	open	10000	5000	5000	5150	20000	J. Aronson	n37	1218974.9999999998*	decomposition variable_bound mixed_binary
n3709	open	10000	5000	5000	5150	20000	J. Aronson	n37	1206490.0*	decomposition variable_bound mixed_binary
n3705	open	10000	5000	5000	5150	20000	J. Aronson	n37	1212657.0*	decomposition variable_bound mixed_binary

Reference

No bibliographic information available