fast0507

benchmark binary benchmark_suitable variable_bound set_covering

Submitter Variables Constraints Density Status Group Objective MPS File
MIPLIB submission pool 63009 507 1.2814e-02 easy 174 fast0507.mps.gz

Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 63009 63001
Constraints 507 489
Binaries 63009 63001
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0128140 0.0132344
Nonzeroes 409349 407720
Constraint Classification Properties
Original Presolved
Total 507 489
Empty 0 0
Free 0 0
Singleton 8 0
Aggregations 0 0
Precedence 0 0
Variable Bound 3 1
Set Partitioning 0 0
Set Packing 0 0
Set Covering 496 488
Cardinality 0 0
Invariant Knapsack 0 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 0.301030
Constraint % 0.204499 0.204499 0.204499 0.204499
Variable % 0.003170 0.003170 0.003170 0.003170
Score 0.002045

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
1 174 174 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to fast0507 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
ex1010-pi open 25200 25200 0 0 1468 102114 M. Winkler 233.0* binary set_covering
seymour easy 1372 1372 0 0 4944 33549 W. Cook, P. Seymour 423 benchmark binary benchmark_suitable variable_bound set_covering
ramos3 open 2187 2187 0 0 2187 32805 F. Ramos 186.0* binary set_covering
scpk4 open 100000 100000 0 0 2000 1000000 Shunji Umetani scp 318.0* binary set_covering
v150d30-2hopcds hard 150 150 0 0 7822 103991 Austin Buchanan 2hopcds 41.0 binary variable_bound set_covering

Reference

No bibliographic information available

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