core4284-1064

binary variable_bound set_covering invariant_knapsack

Submitter Variables Constraints Density Status Group Objective MPS File
A. Caprara, M. Fischetti, P. Toth 21714 4287 2.63322e-03 open core 1067* core4284-1064.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 21714 21691
Constraints 4287 4226
Binaries 21705 21691
Integers 0 0
Continuous 9 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00263322 0.00241326
Nonzeroes 245121 221214
Constraint Classification Properties
Original Presolved
Total 4287 4226
Empty 0 0
Free 0 0
Singleton 16 0
Aggregations 0 0
Precedence 0 0
Variable Bound 14 12
Set Partitioning 0 0
Set Packing 0 0
Set Covering 4254 4213
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 1.041393
Constraint % 0.023663 0.0283956 0.023663 0.0473261
Variable % 0.009210 0.0092100 0.009210 0.0092100
Score 0.002839

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 1067 1067 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to core4284-1064 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
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
core2586-950 open 13226 13215 0 11 2589 104678 A. Caprara, M. Fischetti, P. Toth core 950* binary 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 Okt 02, 2019 by Gregor Hendel
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