core2586-950

binary variable_bound set_covering invariant_knapsack

Submitter Variables Constraints Density Status Group Objective MPS File
A. Caprara, M. Fischetti, P. Toth 13226 2589 3.057e-03 open core 950* core2586-950.mps.gz

Set covering instance coming from Italian railway models

Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 13226 13179
Constraints 2589 2495
Binaries 13215 13179
Integers 0 0
Continuous 11 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00305700 0.00273831
Nonzeroes 104678 90040
Constraint Classification Properties
Original Presolved
Total 2589 2495
Empty 0 0
Free 0 0
Singleton 42 0
Aggregations 0 0
Precedence 0 0
Variable Bound 36 26
Set Partitioning 0 0
Set Packing 0 0
Set Covering 2508 2468
Cardinality 0 0
Invariant Knapsack 1 1
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 2 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 0.4771212
Constraint % 1.082160 49.4589 49.4589 97.8357
Variable % 0.597987 49.8637 49.8637 99.1295
Score 0.0192730

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
1 950 950 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to core2586-950 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
core4872-1529 open 24656 24645 0 11 4875 218762 A. Caprara, M. Fischetti, P. Toth core 1537* binary variable_bound set_covering invariant_knapsack
core4284-1064 open 21714 21705 0 9 4287 245121 A. Caprara, M. Fischetti, P. Toth core 1067* binary variable_bound set_covering invariant_knapsack
core2536-691 easy 15293 15284 0 9 2539 177739 A. Caprara, M. Fischetti, P. Toth core 689 binary benchmark_suitable variable_bound set_covering invariant_knapsack
rail507 easy 63019 63009 0 10 509 468878 A. Caprara, M. Fischetti, P. Toth 174 benchmark binary benchmark_suitable variable_bound set_covering invariant_knapsack
ex1010-pi open 25200 25200 0 0 1468 102114 M. Winkler 239* binary set_covering

Reference

No bibliographic information available

Last Update Jun 24, 2019 by Gregor Hendel
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