air04

binary benchmark_suitable aggregations set_partitioning

Submitter Variables Constraints Density Status Group Objective MPS File
G. Astfalk 8904 823 9.95703e-03 easy air 56137 air04.mps.gz

Airline crew scheduling set partitioning problem

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 8904 8904
Constraints 823 823
Binaries 8904 8904
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00995703 0.00995703
Nonzeroes 72965 72965
Constraint Classification Properties
Original Presolved
Total 823 823
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 2 2
Precedence 0 0
Variable Bound 0 0
Set Partitioning 821 821
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 0.301030
Constraint % 0.2457000 0.2457000 0.2457000 0.2457000
Variable % 0.0341647 0.0341647 0.0341647 0.0341647
Score 0.002456

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
2 56137 56137 0 0 0 - 2018-10-12 Solution imported from MIPLIB2010.
1 56137 56137 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to air04 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
air05 easy 7195 7195 0 0 426 52121 G. Astfalk air 26374 binary benchmark_suitable 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
10teams easy 2025 1800 0 225 230 12150 MIPLIB submission pool 924 binary set_partitioning set_packing invariant_knapsack
ds hard 67732 67732 0 0 656 1024060 MIPLIB submission pool 93.52 binary set_partitioning

Reference

@article{BaruttHull1990,
 author = {J. Barutt and T. Hull},
 instance = {air04,air05},
 journal = {SIAM News},
 language = {English},
 number = {6},
 title = {Airline Crew Scheduling: Supercomputers and Algorithms},
 volume = {23},
 year = {1990}
}

Last Update Mär 19, 2019 by Gregor Hendel
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