ramos3

binary set_covering

Submitter Variables Constraints Density Status Group Objective MPS File
F. Ramos 2187 2187 6.85871e-03 open 186.0* ramos3.mps.gz

Set covering problem from a product manufacturing application Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 2187 2187
Constraints 2187 2187
Binaries 2187 2187
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00685871 0.00685871
Nonzeroes 32805 32805
Constraint Classification Properties
Original Presolved
Total 2187 2187
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 0 0
Set Packing 0 0
Set Covering 0 2187
Cardinality 0 0
Invariant Knapsack 2187 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
4 186 186 0 0 0 Yuya Hattori 2022-10-13 Computed with weighting local search with exploiting variable associations (WLS) ([1]) [1] Umetani, Shunji. “Exploiting variable associations to configure efficient local search algorithms in large-scale binary integer programs.” European Journal of Operational Research 263.1 (2017): 72-81.
3 192 192 0 0 0 Shunsuke Kamiya 2020-05-17 Computed with weighting local search with exploiting variable associations (WLS) ([1]) [1] Umetani, Shunji. “Exploiting variable associations to configure efficient local search algorithms in large-scale binary integer programs.” European Journal of Operational Research 263.1 (2017): 72-81.
2 195 195 0 0 0 Ed Klotz 2019-01-28
1 220 220 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ramos3 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
seymour easy 1372 1372 0 0 4944 33549 W. Cook, P. Seymour 423 benchmark binary benchmark_suitable variable_bound set_covering
iis-glass-cov easy 214 214 0 0 5375 56133 Marc Pfetsch iis 20.99999999999999 binary benchmark_suitable set_covering
glass-sc easy 214 214 0 0 6119 63918 Marc Pfetsch maxfeassub 23 benchmark binary benchmark_suitable set_covering
ex1010-pi open 25200 25200 0 0 1468 102114 M. Winkler 233.0* binary set_covering
iis-hc-cov easy 297 297 0 0 9727 142971 Marc Pfetsch iis 17 binary benchmark_suitable set_covering

Reference

No bibliographic information available

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