ds-big

binary set_partitioning

Submitter Variables Constraints Density Status Group Objective MPS File
Steffen Weider 174997 1042 2.53552e-02 open 325.09366427* ds-big.mps.gz

Bus driver duty scheduling problem

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 174997 174997
Constraints 1042 1042
Binaries 174997 174997
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0253552 0.0253552
Nonzeroes 4623440 4623440
Constraint Classification Properties
Original Presolved
Total 1042 1042
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 1042 1042
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
1 325.0937 325.0937 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ds-big 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 open 787239 787239 0 0 1177 8032300 S. Weider ivu 162.801000588* binary set_partitioning
nw04 easy 87482 87482 0 0 36 636666 MIPLIB submission pool 16862 benchmark binary benchmark_suitable set_partitioning
ivu06-big open 2277736 2277736 0 0 1177 23125800 S. Weider ivu 168.641000869* binary set_partitioning
ds hard 67732 67732 0 0 656 1024060 MIPLIB submission pool 93.52 binary set_partitioning
eilC76-2 easy 28599 28599 0 0 75 314837 J. Linderoth eil 762.514781999996 binary benchmark_suitable set_partitioning

Reference

@incollection{GroetschelBorndoerferLoebel2003,
 author = {Martin Gr{\"o}tschel and Ralf Bornd{\"o}rfer and Andreas L{\"o}bel},
 booktitle = {{MATHEMATICS} -- {K}ey {T}echnology for the {F}uture},
 editor = {Willi J{\"a}ger and Hans-Joachim Krebs},
 language = {English},
 pages = {653--674},
 publisher = {Springer-Verlag},
 title = {Duty Scheduling in Public Transit},
 year = {2003}
}

Last Update Apr 09, 2019 by Gregor Hendel
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