h80x6320

binary decomposition set_partitioning

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	12640	79	6.32911e-03	easy	fixed-cost-network-flow	3700	h80x6320.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	12640	5920
Constraints	79	74
Binaries	6320	5920
Integers	0	0
Continuous	6320	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00632911	0.01351350
Nonzeroes	6320	5920

Constraint Classification Properties
	Original	Presolved
Total	79	74
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	0	0
Set Partitioning	74	74
Set Packing	5	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	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	1.875061
Constraint %		1.35135	1.35135	1.35135	1.35135
Variable %		1.35135	1.35135	1.35135	1.35135
Score	0.986486

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	3700	3700	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to h80x6320 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
t1722	open	36630	36630	0	338	133096	R. Borndörfer	–	108953.0*	binary set_partitioning
10teams	easy	2025	1800	225	230	12150	MIPLIB submission pool	–	923.9999999999997	binary set_partitioning set_packing invariant_knapsack
t1717	open	73885	73885	0	551	325689	R. Borndörfer	–	158260*	binary set_partitioning
air05	easy	7195	7195	0	426	52121	G. Astfalk	air	26374	benchmark binary benchmark_suitable set_partitioning
air04	easy	8904	8904	0	823	72965	G. Astfalk	air	56137	binary benchmark_suitable aggregations set_partitioning

Reference

No bibliographic information available