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.

Location of instance in collection

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.

Nonzero entries of original problem

Nonzero entries after trivial presolving

Decomposed structure of original problem (dec-file)

Decomposed structure after trivial presolving (dec-file)

	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	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
neos-787933	easy	236376	236376	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	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	10535	21609	371467	Jeff Linderoth	neos-pseudoapplication-58	33.45757454008309*	variable_bound binpacking mixed_binary
peg-solitaire-a3	easy	4552	4552	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	1368	2880	27710	Jeff Linderoth	neos-pseudoapplication-58	24.78581995155556	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}
}