air03

binary aggregations set_partitioning

Submitter Variables Constraints Density Status Group Objective MPS File
G. Astfalk 10757 124 6.82436e-02 easy air 340160 air03.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 10757 10757
Constraints 124 124
Binaries 10757 10757
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0682436 0.0682436
Nonzeroes 91028 91028
Constraint Classification Properties
Original Presolved
Total 124 124
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 2 2
Precedence 0 0
Variable Bound 0 0
Set Partitioning 122 122
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 0.4771212
Constraint % 0.8064520 0.8064520 0.8064520 0.8064520
Variable % 0.0185925 0.0185925 0.0185925 0.0185925
Score 0.0161260

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 340160 340160 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to air03 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 benchmark binary benchmark_suitable set_partitioning
air04 easy 8904 8904 0 0 823 72965 G. Astfalk air 56137 binary benchmark_suitable aggregations set_partitioning
ds hard 67732 67732 0 0 656 1024059 MIPLIB submission pool 93.52 binary set_partitioning
irp easy 20315 20315 0 0 39 98254 MIPLIB submission pool 12159.49283539698 benchmark binary benchmark_suitable set_partitioning
mod010 easy 2655 2655 0 0 146 11203 MIPLIB submission pool mod 6548 binary set_partitioning cardinality binpacking

Reference

No bibliographic information available

Last Update Mar 04, 2024 by Julian Manns
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