Submitter Variables Constraints Density Status Group Objective MPS File
C. Liebchen, R. Möhring 397 171 1.22115e-02 easy timtab 764772 timtab1.mps.gz

Public transport scheduling problem

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 397 384
Constraints 171 171
Binaries 77 64
Integers 94 94
Continuous 226 226
Implicit Integers 0 0
Fixed Variables 13 0
Nonzero Density 0.0122115 0.0124269
Nonzeroes 829 816
Constraint Classification Properties
Original Presolved
Total 171 171
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 2
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 77 75
General Linear 94 94
Indicator 0 0

Structure

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

value min median mean max
Components 1.204120
Constraint % 0.584795 3.00195 1.75439 12.2807
Variable % 0.520833 3.35069 2.08333 11.7188
Score 0.421677

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 764772 764772 0 0 0 - 2018-10-13 Solution imported from MIPLIB2010.
1 764772 764772 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to timtab1 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
nh97_tension 1576 257 361 958 737 5264 MIPLIB submission pool easy 1418
icir97_potential 2112 1235 422 455 3314 9942 MIPLIB submission pool open 6325*
ic97_potential 728 450 73 205 1046 3138 L. Peeters easy 3942
timtab1CUTS 397 77 94 226 371 1742 C. Liebchen, R. Möhring timtab easy 764772
icir97_tension 2494 262 573 1659 1203 22333 MIPLIB submission pool easy 6375

Reference

@techreport{LiebchenMoehring2003,
 author = {C. Liebchen and R. H. {M\"ohring}},
 instance = {timetab1,timetab2},
 institution = {Technische {Universit\"at} Berlin, Dept. of Mathematics},
 language = {English},
 number = {2003/49},
 title = {Information on the {MIPLIB}'s timetab-instances},
 year = {2003}
}

Last Update Nov 09, 2018 by Gregor Hendel
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