Submitter Variables Constraints Density Status Group Objective MPS File
J. Linderoth 4516 32 3.06155e-01 easy eil 934.007915999999 eil33-2.mps.gz

Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 4516 4516
Constraints 32 32
Binaries 4516 4516
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.306155 0.306155
Nonzeroes 44243 44243
Constraint Classification Properties
Original Presolved
Total 32 32
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 32 32
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 0 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 0.30103
Constraint % 100 100 100 100
Variable % 100 100 100 100
Score 0.00000

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 1 934.0079 811.279 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.
1 2 934.0079 811.279 0 0 0 - 2018-10-13 Solution imported from MIPLIB2010.

Similar instances in collection

The following instances are most similar to eil33-2 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
eilC76-2 28599 28599 0 0 75 314837 J. Linderoth eil easy 762.514781999996
t1722 36630 36630 0 0 338 133096 R. Borndörfer open 114245*
t1717 73885 73885 0 0 551 325689 R. Borndörfer open 184271*
eilA101-2 65832 65832 0 0 100 959373 J. Linderoth eil easy 880.920108
irp 20315 20315 0 0 39 98254 MIPLIB submission pool easy 12159.492835397

Reference

@article{LinderothLeeSavelsbergh2001,
 author = {J. T. Linderoth and E. K. Lee and M. W. P. Savelsbergh},
 journal = {{INFORMS} Journal on Computing},
 pages = {191-209},
 title = {A Parallel, Linear Programming Based Heuristic for
Large Scale Set Partitioning Problems},
 volume = {13},
 year = {2001}
}

@misc{tsplib,
 key = {zzz tsplib},
 note = {http://comopt.ifi.uni-heidelberg.de/software/TSPLIB95/},
 title = {TSPLIB},
 year = {2008}
}

Last Update Nov 09, 2018 by Gregor Hendel
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