Submitter Variables Constraints Density Status Group Objective MPS File
G. Klau 1083 1532 2.71644e-03 easy 62 berlin_5_8_0.mps.gz

Railway optimization problems. The problem was solved using CPLEX 12.3 on a 32 core Sun Galaxy 4600 machine, equipped with eight Quad-Core AMD Opteron 8384 processors at 2.7 GHz and 512 GB RAM. It took approximately 9 hours. The problem was solved using CPLEX 12.4 in about 55 minutes (May 2014).

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 1083 1082
Constraints 1532 1531
Binaries 794 794
Integers 0 0
Continuous 289 288
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00271644 0.00272012
Nonzeroes 4507 4506
Constraint Classification Properties
Original Presolved
Total 1532 1531
Empty 0 0
Free 0 0
Singleton 1 0
Aggregations 0 0
Precedence 476 476
Variable Bound 0 0
Set Partitioning 0 0
Set Packing 0 0
Set Covering 309 0
Cardinality 0 0
Invariant Knapsack 0 309
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 746 746
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 0.4771212
Constraint % 39.6473 39.9086 39.9086 40.1698
Variable % 47.3684 47.7378 47.7378 48.1071
Score 0.4171230

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 62 62 0e+00 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.
1 62 62 1e-07 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to berlin_5_8_0 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
railway_8_1_0 1796 1177 0 619 2527 7098 MIPLIB submission pool easy 400
usAbbrv-8-25_70 2312 1681 0 631 3291 9628 publicly available hard 120
CMS750_4 11697 7196 0 4501 16381 44903 MIPLIB submission pool easy 252
pigeon-16 1072 928 0 144 2353 21104 Sam Allen pigeon easy -15000
pigeon-13 754 637 0 117 1561 13871 Sam Allen pigeon easy -12000

Reference

@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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