ivu59

binary set_partitioning

Submitter Variables Constraints Density Status Group Objective MPS File
S. Weider 2569996 3436 4.09788e-03 open ivu 1040.48278862* ivu59.mps.gz

Set partitioning instance resulting from a column generation algorithm used for duty scheduling in public transportation. Solved in June 2014 using CPLEX 12.6 with 48 threads in about 25 days.

Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 2569996 2569996
Constraints 3436 3436
Binaries 2569996 2569996
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00409788 0.00409788
Nonzeroes 36186300 36186300
Constraint Classification Properties
Original Presolved
Total 3436 3436
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 3436 3436
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
Constraint %
Variable %
Score

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 1040.483 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ivu59 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
ds hard 67732 67732 0 0 656 1024060 MIPLIB submission pool 93.52 binary set_partitioning
ivu06 open 787239 787239 0 0 1177 8032300 S. Weider ivu 162.801000588* binary set_partitioning
ivu06-big open 2277736 2277736 0 0 1177 23125800 S. Weider ivu 168.641000869* binary set_partitioning
ds-big open 174997 174997 0 0 1042 4623440 Steffen Weider 325.09366427* binary set_partitioning
irp easy 20315 20315 0 0 39 98254 MIPLIB submission pool 12159.492835397 benchmark binary benchmark_suitable set_partitioning

Reference

No bibliographic information available

Last Update Apr 09, 2019 by Gregor Hendel
generated with R Markdown
© 2019 by Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)
Imprint