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 Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
air05 7195 7195 0 0 426 52121 G. Astfalk air easy 26374
air03 10757 10757 0 0 124 91028 G. Astfalk air easy 340160
mod010 2655 2655 0 0 146 11203 MIPLIB submission pool mod easy 6548
10teams 2025 1800 0 225 230 12150 MIPLIB submission pool easy 924
ds 67732 67732 0 0 656 1024060 MIPLIB submission pool open 189.6725*

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 Nov 09, 2018 by Gregor Hendel
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