Submitter Variables Constraints Density Status Group Objective MPS File
S. Weider 33765 225 1.29542e-01 open 16.7022208 rvb-sub.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 33765 33763
Constraints 225 225
Binaries 33763 33763
Integers 0 0
Continuous 2 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.129542 0.129549
Nonzeroes 984143 984141
Constraint Classification Properties
Original Presolved
Total 225 225
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 223 223
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 2
Integer Knapsack 0 0
Mixed Binary 2 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 0.301030
Constraint % 0.888889 0.888889 0.888889 0.888889
Variable % 98.631600 98.631600 98.631600 98.631600
Score 0.000122

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 16.70222 1e+100 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to rvb-sub 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
ivu52 157591 157591 0 0 2116 2179480 S. Weider ivu hard 481.0068
square47 95030 94987 43 0 61591 27329900 Sascha Kurz square easy 16.0000
square41 62234 62197 37 0 40160 13566400 Sascha Kurz square easy 15.0000
eilC76-2 28599 28599 0 0 75 314837 J. Linderoth eil easy 762.5148
eilA101-2 65832 65832 0 0 100 959373 J. Linderoth eil easy 880.9201

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 Nov 09, 2018 by Gregor Hendel
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