Submitter Variables Constraints Density Status Group Objective MPS File
Thomas Schlechte 758775 253905 8.97166e-06 hard rail0 -867.093965444446 rail03.mps.gz

Track allocation problem modeled as arc coupling problem The problem was solved by CPLEX 12.4. It took approximately 170 hours.

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 758775 758775
Constraints 253905 253905
Binaries 758775 758775
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 8.97166e-06 8.97166e-06
Nonzeroes 1728450 1728450
Constraint Classification Properties
Original Presolved
Total 253905 253905
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 112561 112561
Precedence 0 0
Variable Bound 44 44
Set Partitioning 86933 91893
Set Packing 4083 4083
Set Covering 0 0
Cardinality 50254 45294
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 30 30
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
Constraint %
Variable %
Score

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 -823.4828 -823.4828 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to rail03 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
rail02 270869 270869 0 0 95791 756228 Thomas Schlechte rail0 easy -200.4499077
rail01 117527 117527 0 0 46843 392086 Thomas Schlechte rail0 easy -70.5699643
neos-780889 182700 182700 0 0 73910 497210 NEOS Server Submission neos-pseudoapplication-94 easy 3421500
bab6 114240 114240 0 0 29904 1283180 Elmar Swarat bab hard -284248.2307
sing17 452787 432541 0 20246 266802 1205830 Daniel Espinoza sing open 36642313.83193*

Reference

@inproceedings{BorndoerferSchlechte2007,
 author = {Ralf Bornd{\"o}rfer and Thomas Schlechte},
 booktitle = {7th Workshop on Algorithmic Approaches for
Transportation Modeling, Optimization, and Systems},
 editor = {Christian Liebchen and Ravindra K. Ahuja and Juan A. Mesa},
 publisher = {Dagstuhl Publishing},
 title = {Models for Railway Track Allocation},
 year = {2007}
}

Last Update Nov 09, 2018 by Gregor Hendel
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