t1717

binary set_partitioning

Submitter Variables Constraints Density Status Group Objective MPS File
R. Borndörfer 73885 551 8.0001e-03 open 180966* t1717.mps.gz

Vehicle scheduling set partitioning problem from Berlin’s Telebus handicapped people’s transportation system

Imported from MIPLIB2010. Solution was computed with 12 Threads in 20 hours, by giving highest priority to variables with most edges in conflict graph.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 73885 73885
Constraints 551 551
Binaries 73885 73885
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0080001 0.0080001
Nonzeroes 325689 325689
Constraint Classification Properties
Original Presolved
Total 551 551
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 551 551
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
2 180966 0 0 0 Ed Klotz 2019-08-21 “Computed with 12 Threads in 20 hours, by giving highest priority to variables with most edges in conflict graph”
1 184271 184271 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to t1717 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
t1722 open 36630 36630 0 0 338 133096 R. Borndörfer 114245* binary set_partitioning
eil33-2 easy 4516 4516 0 0 32 44243 J. Linderoth eil 934.007915999999 benchmark binary benchmark_suitable set_partitioning
h80x6320 easy 12640 6320 0 6320 79 6320 MIPLIB submission pool fixed-cost-network-flow 3700 binary decomposition set_partitioning
eilC76-2 easy 28599 28599 0 0 75 314837 J. Linderoth eil 762.514781999996 binary benchmark_suitable set_partitioning
ds hard 67732 67732 0 0 656 1024060 MIPLIB submission pool 93.52 binary set_partitioning

Reference

@book{Borndoerfer1998,
 address = {Aachen},
 author = {Ralf Bornd{\"o}rfer},
 instance = {t1717},
 language = {English},
 note = {Ph.D. thesis, Technische Universit{\"a}t Berlin},
 publisher = {Shaker Verlag},
 title = {Aspects of Set Packing, Partitioning, and Covering},
 year = {1998}
}

@inproceedings{BorndoerferGroetschelKlostermeierKuettner1999,
 address = {Berlin},
 author = {Ralf Bornd{\"o}rfer and Martin Gr{\"o}tschel and
Fridolin
Klostermeier and Christian K{\"u}ttner},
 booktitle = {Proceedings of the 7th International Workshop on
Computer-Aided Transit Scheduling},
 editor = {Nigel Wilson},
 language = {English},
 pages = {391--422},
 publisher = {Springer Verlag},
 series = {Lecture Notes in Economics and Mathematical Systems},
 title = {Telebus {B}erlin: Vehicle Scheduling in a Dial-a-Ride
System},
 volume = {471},
 year = {1999}
}

Last Update Okt 02, 2019 by Gregor Hendel
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