ivu06-big

binary set_partitioning

Submitter Variables Constraints Density Status Group Objective MPS File
S. Weider 2277736 1177 8.62614e-03 open ivu 168.641000869* ivu06-big.mps.gz

Set partitioning instance resulting from a column generation algorithm used for duty scheduling in public transportation

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 2277736 2277736
Constraints 1177 1177
Binaries 2277736 2277736
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00862614 0.00862614
Nonzeroes 23125800 23125800
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
1 168.641 168.641 0 0 0 - 2018-10-10 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ivu06-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
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

@inproceedings{BorndoerferLoebelWeider2008,
 author = {Ralf Bornd{\"o}rfer and Andreas L{\"o}bel and Steffen
Weider},
 booktitle = {Computer-aided Systems in Public Transport},
 editor = {Mark Hickman and Pitu Mirchandani and Stefan Voß},
 pages = {3--24},
 series = {Lecture Notes in Economics and Mathematical Systems},
 title = {A Bundle Method for Integrated Multi-Depot Vehicle and
Duty Scheduling in Public Transit},
 volume = {600},
 year = {2008}
}

@phdthesis{Weider2007,
 author = {Steffen Weider},
 school = {Technische Universit{\"a}t Berlin},
 title = {Integration of Vehicle and Duty Scheduling in Public
Transport},
 year = {2007}
}

Last Update Apr 09, 2019 by Gregor Hendel
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