Submitter Variables Constraints Density Status Group Objective MPS File
M. Lübbecke 9845 923 1.30021e-02 easy blp 4025.0235808 blp-ic97.mps.gz

Railway line planning instance. Solved using CPLEX 12.3 (12 threads) on an Intel Xeon X5650 @ 2.67GHz, 12MB cache, 24GB RAM in 4947.5 sec. Solved using Gurobi 4.6.1 (12 threads) in 1867.9 sec.

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 9845 8445
Constraints 923 796
Binaries 9753 8357
Integers 0 87
Continuous 92 1
Implicit Integers 0 87
Fixed Variables 4 0
Nonzero Density 0.0130021 0.0149476
Nonzeroes 118149 100481
Constraint Classification Properties
Original Presolved
Total 923 796
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 0 0
Set Packing 831 708
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 92 1
General Linear 0 87
Indicator 0 0

Structure

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

value min median mean max
Components 2.850646
Constraint % 0.1256280 0.125628 0.125628 0.125628
Variable % 0.0473653 0.139771 0.153937 0.153937
Score 0.888204

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 4025.024 4025.024 0 0 0 - 2018-10-12 Solution imported from MIPLIB2010.
1 4025.024 4025.024 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to blp-ic97 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
blp-ir98 6097 6031 0 66 486 79152 M. Lübbecke blp easy 2342.315
blp-ic98 13640 13550 0 90 717 191947 M. Lübbecke blp easy 4491.448
blp-ar98 16021 15806 0 215 1128 200601 M. Lübbecke blp easy 6205.215
neos-4409277-trave 14363 14362 0 1 7875 204518 Jeff Linderoth neos-pseudoapplication-47 hard 3.000
neos-3116779-oban 5141 5140 0 1 328 20561 Jeff Linderoth neos-pseudoapplication-26 easy 0.000

Reference

@article{BussieckLindnerLuebbecke2004,
 author = {M. R. Bussieck and T. Lindner and M. E. L{\"u}bbecke},
 journal = {Mathematical Methods of Operations Research},
 number = {2},
 pages = {205-220},
 title = {A Fast Algorithm for Near Optimal Line Plans},
 volume = {59},
 year = {2004}
}

@article{FischettiGloverLodi2005,
 author = {M. Fischetti and F. Glover and A. Lodi},
 journal = {Mathematical Programming},
 pages = {91--104},
 title = {The feasibility pump},
 volume = {104},
 year = {2005}
}

Last Update Nov 09, 2018 by Gregor Hendel
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