ic97_potential

benchmark benchmark_suitable precedence mixed_binary general_linear

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 Status Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Objective Tags
icir97_potential open 2112 1235 422 455 3314 9942 MIPLIB submission pool 6325* precedence mixed_binary general_linear
neos-5115478-kaveri easy 3114 2976 0 138 6498 19392 Jeff Linderoth neos-pseudoapplication-54 1233.99999999096 numerics aggregations precedence mixed_binary
neos-5107597-kakapo easy 3114 2976 0 138 6498 19392 Jeff Linderoth neos-pseudoapplication-54 3645 benchmark benchmark_suitable aggregations precedence mixed_binary
supportcase26 easy 436 396 0 40 870 2492 Michael Winkler 1745.123813 benchmark benchmark_suitable precedence mixed_binary
timtab1 easy 397 77 94 226 171 829 C. Liebchen, R. Möhring timtab 764772 benchmark benchmark_suitable aggregations mixed_binary general_linear

Reference

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

Last Update Okt 02, 2019 by Gregor Hendel
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