ivu06

binary set_partitioning

Submitter Variables Constraints Density Status Group Objective MPS File
S. Weider 787239 1177 8.66876e-03 open ivu 162.801000588* ivu06.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 787239 787239
Constraints 1177 1177
Binaries 787239 787239
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00866876 0.00866876
Nonzeroes 8032300 8032300
Constraint Classification Properties
Original Presolved
Total 1177 1177
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 1177 1177
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
1 162.801 162.801 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ivu06 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
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
nw04 easy 87482 87482 0 0 36 636666 MIPLIB submission pool 16862 benchmark binary benchmark_suitable set_partitioning
eilA101-2 easy 65832 65832 0 0 100 959373 J. Linderoth eil 880.920108 benchmark binary benchmark_suitable set_partitioning
eilC76-2 easy 28599 28599 0 0 75 314837 J. Linderoth eil 762.514781999996 binary benchmark_suitable set_partitioning

Reference

No bibliographic information available

Last Update Mär 19, 2019 by Gregor Hendel
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