co-100

benchmark binary benchmark_suitable precedence set_partitioning set_packing binpacking knapsack

Submitter Variables Constraints Density Status Group Objective MPS File
Axel Werner 48417 2187 1.88484e-02 easy 2639942.06 co-100.mps.gz

Model from optical access network planning

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 48417 47816
Constraints 2187 1886
Binaries 48417 47816
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0188484 0.0177129
Nonzeroes 1995820 1597370
Constraint Classification Properties
Original Presolved
Total 2187 1886
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 9 7
Variable Bound 2 0
Set Partitioning 173 173
Set Packing 2 2
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 1 0
Equation Knapsack 0 0
Bin Packing 1989 1693
Knapsack 11 11
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 1.977724
Constraint % 0.0530223 0.10266 0.0530223 4.71898
Variable % 0.0228614 1.03995 0.0228614 95.62930
Score 0.051362

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
1 2639942 2639942 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to co-100 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 Status Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Objective Tags
neos-787933 easy 236376 236376 0 0 1897 298320 NEOS Server Submission neos-pseudoapplication-36 30 benchmark binary decomposition benchmark_suitable binpacking mixed_binary
neos-2328163-agri easy 2236 2236 0 0 1963 12740 Jeff Linderoth neos-pseudoapplication-36 27674 binary decomposition benchmark_suitable set_partitioning set_packing set_covering cardinality invariant_knapsack binpacking knapsack
neos-4355351-swalm open 21065 10530 0 10535 21609 371467 Jeff Linderoth neos-pseudoapplication-58 34.08154* variable_bound binpacking mixed_binary
peg-solitaire-a3 easy 4552 4552 0 0 4587 28387 Hiroshige Dan ; Koichi Fujii pegsolitaire 1 benchmark binary benchmark_suitable aggregations variable_bound set_partitioning cardinality binpacking
neos-4333464-siret easy 2731 1363 0 1368 2880 27710 Jeff Linderoth neos-pseudoapplication-58 24.785819952 benchmark_suitable variable_bound binpacking mixed_binary

Reference

@inproceedings{BentzMartensOrlowskiWernerWessaely2010,
 author = {W.~Bentz and M.~Martens and S.~Orlowski and A.~Werner and R.~Wess{\"a}ly},
 booktitle = {Breitbandversorgung in Deutschland},
 language = {German},
 publisher = {VDE-Verlag},
 series = {ITG-Fachbericht},
 title = {{FTTx-PLAN}: {O}ptimierter {A}ufbau von {FTTx-N}etzen},
 volume = {220},
 year = {2010}
}

Last Update Apr 09, 2019 by Gregor Hendel
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