Submitter Variables Constraints Density Status Group Objective MPS File
R. Borndörfer 36630 338 1.07501e-02 open 114245 t1722.mps.gz

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

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 36630 36630
Constraints 338 338
Binaries 36630 36630
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0107501 0.0107501
Nonzeroes 133096 133096
Constraint Classification Properties
Original Presolved
Total 338 338
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 338 338
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 114245 114245 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to t1722 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 Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
t1717 73885 73885 0 0 551 325689 R. Borndörfer open 184271*
h80x6320 12640 6320 0 6320 79 6320 MIPLIB submission pool fixed-cost-network-flow easy 3700
eil33-2 4516 4516 0 0 32 44243 J. Linderoth eil easy 934.007915999999
eilC76-2 28599 28599 0 0 75 314837 J. Linderoth eil easy 762.514781999996
ds 67732 67732 0 0 656 1024060 MIPLIB submission pool open 189.6725*

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 Nov 09, 2018 by Gregor Hendel
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