Submitter Variables Constraints Density Status Group Objective MPS File
Thomas Schlechte 270869 95791 2.91453e-05 easy rail0 -200.4499077 rail02.mps.gz

Track allocation problem modeled as arc coupling problem

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 270869 270867
Constraints 95791 95786
Binaries 270869 270867
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 2.91453e-05 2.91447e-05
Nonzeroes 756228 756166
Constraint Classification Properties
Original Presolved
Total 95791 95786
Empty 0 0
Free 0 0
Singleton 2 0
Aggregations 39086 39088
Precedence 0 0
Variable Bound 0 0
Set Partitioning 31181 33575
Set Packing 2700 2700
Set Covering 0 0
Cardinality 22819 20423
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 3 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 1.690196
Constraint % 0.0636836 1.58041 0.426994 38.7802
Variable % 0.0646069 1.93445 0.446895 42.6560
Score 0.583826

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
2 1 -200.4499 -200.4499 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.
1 2 -200.4499 -200.4499 0 0 0 - 2018-10-12 Solution imported from MIPLIB2010.

Similar instances in collection

The following instances are most similar to rail02 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
rail03 758775 758775 0 0 253905 1728450 Thomas Schlechte rail0 hard -867.09397
rail01 117527 117527 0 0 46843 392086 Thomas Schlechte rail0 easy -70.56996
neos-780889 182700 182700 0 0 73910 497210 NEOS Server Submission neos-pseudoapplication-94 easy 3421500.00000
bab6 114240 114240 0 0 29904 1283180 Elmar Swarat bab hard -284248.23070
neos-555001 3855 3782 73 0 3474 16649 NEOS Server Submission neos-pseudoapplication-94 easy 1210625.00000

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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