seymour1

benchmark benchmark_suitable variable_bound set_covering mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
MIPLIB submission pool 1372 4944 4.94592e-03 easy 410.76370139 seymour1.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 1372 1255
Constraints 4944 4827
Binaries 451 372
Integers 0 0
Continuous 921 883
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00494592 0.00551876
Nonzeroes 33549 33432
Constraint Classification Properties
Original Presolved
Total 4944 4827
Empty 0 0
Free 0 0
Singleton 117 0
Aggregations 0 0
Precedence 0 0
Variable Bound 285 285
Set Partitioning 0 0
Set Packing 0 0
Set Covering 408 408
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 4134 4134
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 0.602060
Constraint % 0.0207168 28.5478 0.0207168 85.6018
Variable % 0.2186590 22.5948 0.4373180 67.1283
Score 0.281801

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
1 410.7637 410.7637 0 0 1e-07 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to seymour1 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
neos5 easy 63 53 0 10 63 2016 NEOS Server Submission neos-pseudoapplication-21 15 benchmark benchmark_suitable mixed_binary
hanoi5 hard 3862 3862 0 0 16399 39718 M. Winkler 1931 binary variable_bound set_covering
seymour easy 1372 1372 0 0 4944 33549 W. Cook, P. Seymour 423 benchmark binary benchmark_suitable variable_bound set_covering
f2000 open 4000 4000 0 0 10500 29500 M. Winkler 1846* binary variable_bound set_covering
uct-subprob easy 2256 379 0 1877 1973 10147 Gerald Lach 314 benchmark benchmark_suitable aggregations variable_bound set_partitioning set_packing mixed_binary

Reference

No bibliographic information available

Last Update Okt 02, 2019 by Gregor Hendel
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