aflow30a

decomposition benchmark_suitable variable_bound set_partitioning mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
T. Achterberg	842	479	5.18449e-03	easy	aflow	1158	aflow30a.mps.gz

Arborescence flow problem 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	842	842
Constraints	479	479
Binaries	421	421
Integers	0	0
Continuous	421	421
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00518449	0.00518449
Nonzeroes	2091	2091

Constraint Classification Properties
	Original	Presolved
Total	479	479
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	421	421
Set Partitioning	29	29
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	29	29
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	1.477121
Constraint %		2.29645	3.23951	3.34029	4.17537
Variable %		2.37530	3.44828	3.56295	4.51306
Score	0.906203

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	1158	1158	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to aflow30a 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
aflow40b	easy	2728	1364	1364	1442	6783	T. Achterberg	aflow	1168	decomposition benchmark_suitable variable_bound set_partitioning mixed_binary
ran12x21	easy	504	252	252	285	1008	J. Aronson	ran	3663.999999980964	decomposition benchmark_suitable variable_bound mixed_binary
h50x2450	easy	4900	2450	2450	2549	12152	MIPLIB submission pool	fixed-cost-network-flow	32906.880834	decomposition benchmark_suitable variable_bound set_partitioning mixed_binary
n370b	open	10000	5000	5000	5150	20000	J. Aronson	n37	1220708.0*	decomposition variable_bound mixed_binary
ran13x13	easy	338	169	169	195	676	J. Aronson	ran	3252	decomposition benchmark_suitable variable_bound mixed_binary

Reference

No bibliographic information available