Submitter Variables Constraints Density Status Group Objective MPS File
L. Peeters 728 1046 4.12088e-03 easy 3942 ic97_potential.mps.gz

A model for cyclic railway timetable optimization

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 728 727
Constraints 1046 1046
Binaries 450 449
Integers 73 73
Continuous 205 205
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00412088 0.00412392
Nonzeroes 3138 3136
Constraint Classification Properties
Original Presolved
Total 1046 1046
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 2
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 900 898
General Linear 146 146
Indicator 0 0

Structure

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

value min median mean max
Components 1.113943
Constraint % 0.191205 1.17909 0.956023 4.58891
Variable % 0.412655 1.55892 1.306740 5.50206
Score 0.137517

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 3942 3942 9e-07 9e-07 0 - 2018-10-10 Solution imported from MIPLIB2010.
1 3942 3942 2e-07 0e+00 0 - 2018-10-10 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ic97_potential 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
icir97_potential 2112 1235 422 455 3314 9942 MIPLIB submission pool open 6325*
neos-5115478-kaveri 3114 2976 0 138 6498 19392 Jeff Linderoth neos-pseudoapplication-54 easy 1233.99999999096
neos-5107597-kakapo 3114 2976 0 138 6498 19392 Jeff Linderoth neos-pseudoapplication-54 easy 3645
supportcase26 436 396 0 40 870 2492 Michael Winkler easy 1745.123813
timtab1 397 77 94 226 171 829 C. Liebchen, R. Möhring timtab easy 764772

Reference

@phdthesis{Peeters2003,
 author = {Leon Peeters},
 language = {Dutch},
 school = {Erasmus Universiteit Rotterdam},
 title = {Cyclic Railway Timetable Optimization},
 year = {2003}
}

Last Update Nov 19, 2018 by Gregor Hendel
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