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.

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.

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 Integers Continuous Constraints Nonz. Submitter Group Objective Tags
air04 easy 8904 8904 0 0 823 72965 G. Astfalk air 56137 binary benchmark_suitable aggregations set_partitioning
air03 easy 10757 10757 0 0 124 91028 G. Astfalk air 340160 binary aggregations set_partitioning
mod010 easy 2655 2655 0 0 146 11203 MIPLIB submission pool mod 6548 binary set_partitioning cardinality binpacking
ds hard 67732 67732 0 0 656 1024060 MIPLIB submission pool 93.52 binary set_partitioning
10teams easy 2025 1800 0 225 230 12150 MIPLIB submission pool 924 binary set_partitioning set_packing invariant_knapsack

Reference

No bibliographic information available

Last Update Jun 24, 2019 by Gregor Hendel
generated with R Markdown
© 2019 by Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)
Imprint