Submitter Variables Constraints Density Status Group Objective MPS File
Christian Liebchen 11468 4768 3.48797e-04 open 503362120 r4l4-02-tree-bounds-50.mps.gz

Periodic Event Scheduling Problem (PESP) Model for Timetable Optimization in Public Transport Data originating from (see additional file) https://lintim.math.uni-goettingen.de/ and http://num.math.uni-goettingen.de/~m.goerigk/pesplib/ Notation of the variables in the MIP model according to Sec. 9 in Liebchen (2006)

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 11468 9536
Constraints 4768 4768
Binaries 1938 7
Integers 2830 2830
Continuous 6700 6699
Implicit Integers 0 0
Fixed Variables 1932 0
Nonzero Density 0.000348797 0.000376312
Nonzeroes 19072 17110
Constraint Classification Properties
Original Presolved
Total 4768 4768
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 7
Precedence 0 0
Variable Bound 0 0
Set Partitioning 0 0
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 1938 1931
General Linear 2830 2830
Indicator 0 0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

value min median mean max
Components 2.025306
Constraint % 0.0209732 0.566675 0.0419463 24.3918
Variable % 0.0314597 0.753835 0.0734060 30.4320
Score 0.482416

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 503362120 503362120 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to r4l4-02-tree-bounds-50 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
neos-4650160-yukon 1412 624 0 788 1969 6416 Jeff Linderoth neos-pseudoapplication-79 easy 59.88500
bienst2 505 35 0 470 576 2184 H. Mittelmann easy 54.60000
bienst1 505 28 0 477 576 2184 MIPLIB submission pool easy 46.75000
newdano 505 56 0 449 576 2184 Daniel Bienstock dano easy 65.66667
uccase12 62529 9072 0 53457 121161 419447 Daniel Espinoza uccase easy 11507.40506

Reference

@article{GoerigkSchachtebeckSchoebel2013, author="M. Goerigk and M. Schachtebeck and A. Sch{\"o}bel", title="Evaluating line concepts using travel times and robustness", journal="Public Transport", volume="5", pages="267--284", year="2013", issue="3"}

Last Update Nov 17, 2018 by Gregor Hendel
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