Submitter Variables Constraints Density Status Group Objective MPS File
A. Caprara, M. Fischetti, P. Toth 63019 509 1.46174e-02 easy 174 rail507.mps.gz

Railway crew scheduling

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 63019 63001
Constraints 509 490
Binaries 63009 63001
Integers 0 0
Continuous 10 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0146174 0.0151319
Nonzeroes 468878 467130
Constraint Classification Properties
Original Presolved
Total 509 490
Empty 0 0
Free 0 0
Singleton 8 0
Aggregations 0 0
Precedence 0 0
Variable Bound 3 1
Set Partitioning 0 0
Set Packing 0 0
Set Covering 496 488
Cardinality 0 0
Invariant Knapsack 1 1
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 1 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 0.301030
Constraint % 0.204082 0.204082 0.204082 0.204082
Variable % 0.003170 0.003170 0.003170 0.003170
Score 0.002041

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
2 174 174 0 0 0 - 2018-10-29 Solution found during MIPLIB2017 problem selection.
1 174 174 0 0 0 - 2018-10-12 Solution imported from MIPLIB2010.

Similar instances in collection

The following instances are most similar to rail507 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
core2536-691 15293 15284 0 9 2539 177739 A. Caprara, M. Fischetti, P. Toth core easy 689
core4284-1064 21714 21705 0 9 4287 245121 A. Caprara, M. Fischetti, P. Toth core open 1067*
core4872-1529 24656 24645 0 11 4875 218762 A. Caprara, M. Fischetti, P. Toth core open 1537*
core2586-950 13226 13215 0 11 2589 104678 A. Caprara, M. Fischetti, P. Toth core open 950*
fast0507 63009 63009 0 0 507 409349 MIPLIB submission pool easy 174

Reference

@article{CapraraFischettiToth1999,
 author = {A. Caprara and M. Fischetti and P. Toth},
 instance = {core4872-1529},
 journal = {Operations Research},
 language = {English},
 pages = {730--743},
 title = {A heuristic method for the set covering problem},
 volume = {47},
 year = {1999}
}

@article{FischettiLodi2003,
 author = {Fischetti, Matteo and Lodi, Andrea},
 issn = {0025-5610},
 issue = {1},
 journal = {Mathematical Programming},
 keyword = {Mathematics and Statistics},
 pages = {23-47},
 publisher = {Springer},
 title = {Local branching},
 volume = {98},
 year = {2003}
}

Last Update Nov 09, 2018 by Gregor Hendel
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