Submitter Variables Constraints Density Status Group Objective MPS File
Michael Bastubbe 283648 1050112 1.23263e-05 open graphs 0 graph40-80-1rand.mps.gz

Packing Cuts in Undirected Graphs. Instances are described in 4.1.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 283648 283136
Constraints 1050112 1025024
Binaries 283648 283136
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 1.23263e-05 1.23104e-05
Nonzeroes 3671550 3572740
Constraint Classification Properties
Original Presolved
Total 1050112 1025024
Empty 0 0
Free 0 0
Singleton 512 0
Aggregations 0 0
Precedence 0 24576
Variable Bound 0 0
Set Partitioning 512 512
Set Packing 0 0
Set Covering 524288 0
Cardinality 0 0
Invariant Knapsack 524800 999936
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
Constraint %
Variable %
Score

Best Known Solution(s)

No solution available for graph40-80-1rand .

Similar instances in collection

The following instances are most similar to graph40-80-1rand 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
graph40-40-1rand 102600 102600 0 0 360900 1260900 Michael Bastubbe graphs open -9*
graph40-20-1rand 31243 31243 0 0 99067 345557 Michael Bastubbe graphs open -14*
graph20-80-1rand 16263 16263 0 0 55107 191997 Michael Bastubbe graphs open -6*
neos-3555904-turama 37461 37461 0 0 146493 793605 Hans Mittelmann neos-pseudoapplication-81 easy -34.7
graph20-20-1rand 2183 2183 0 0 5587 19277 Michael Bastubbe graphs easy -9

Reference

@article{or:BergnerLuebbeckeWitt:16,
   Author   = {
M. Bergner and M.E. L\"{u}bbecke and J.T. Witt},
   Title    = {A Branch-Price-and-Cut Algorithm for Packing Cuts in Undirected Graphs},
   Journal  = {Journal of Experimental Algorithmics (JEA)},
   Year     = {2016},
   Volume   = {21 },
   Number   = {2016--},
   Pages    = {Article No. 1.2},
   Month   = {Jan},
   Publisher    = {ACM New York, NY, USA},
   DOI      = {10.1145/2851492}
}

Last Update Nov 09, 2018 by Gregor Hendel
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