air05

benchmark binary benchmark_suitable set_partitioning

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
G. Astfalk	7195	426	1.70048e-02	easy	air	26374	air05.mps.gz

Airline crew scheduling set partitioning 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	7195	7195
Constraints	426	426
Binaries	7195	7195
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.0170048	0.0170048
Nonzeroes	52121	52121

Constraint Classification Properties
	Original	Presolved
Total	426	426
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	0	0
Set Partitioning	426	426
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	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	0.30103
Constraint %		100	100	100	100
Variable %		100	100	100	100
Score	0.00000

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	26374	26374	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to air05 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
air04	easy	8904	8904	0	823	72965	G. Astfalk	air	56137	binary benchmark_suitable aggregations set_partitioning
air03	easy	10757	10757	0	124	91028	G. Astfalk	air	340160	binary aggregations set_partitioning
mod010	easy	2655	2655	0	146	11203	MIPLIB submission pool	mod	6548	binary set_partitioning cardinality binpacking
ds	hard	67732	67732	0	656	1024059	MIPLIB submission pool	–	93.52	binary set_partitioning
10teams	easy	2025	1800	225	230	12150	MIPLIB submission pool	–	923.9999999999997	binary set_partitioning set_packing invariant_knapsack

Reference

No bibliographic information available