leo1

benchmark benchmark_suitable variable_bound set_packing set_covering mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
COR@L test set 6731 593 3.28745e-02 easy 404227536.16 leo1.mps.gz

Instance coming from the COR@L test set with unknown origin

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 6731 6731
Constraints 593 590
Binaries 6730 6730
Integers 0 0
Continuous 1 1
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0328745 0.0330409
Nonzeroes 131218 131215
Constraint Classification Properties
Original Presolved
Total 593 590
Empty 0 0
Free 0 0
Singleton 3 0
Aggregations 0 0
Precedence 0 0
Variable Bound 26 26
Set Partitioning 0 0
Set Packing 408 408
Set Covering 16 16
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 140 140
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 2.638489
Constraint % 0.1694920 0.169492 0.169492 0.169492
Variable % 0.0297133 0.230278 0.282276 0.356559
Score 0.733899

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 404227536 404227536 0 1e-07 1e-07 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to leo1 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
leo2 easy 11100 11099 0 1 593 219959 COR@L test set 404077441.12 benchmark benchmark_suitable variable_bound set_packing set_covering mixed_binary
blp-ar98 easy 16021 15806 0 215 1128 200601 M. Lübbecke blp 6205.2147104 benchmark decomposition benchmark_suitable variable_bound set_packing equation_knapsack mixed_binary general_linear
blp-ic98 easy 13640 13550 0 90 717 191947 M. Lübbecke blp 4491.44758395 benchmark decomposition benchmark_suitable set_packing mixed_binary general_linear
blp-ir98 easy 6097 6031 0 66 486 79152 M. Lübbecke blp 2342.315488 decomposition benchmark_suitable set_packing equation_knapsack mixed_binary general_linear
blp-ic97 easy 9845 9753 0 92 923 118149 M. Lübbecke blp 4025.0235808 decomposition benchmark_suitable set_packing mixed_binary general_linear

Reference

@misc{coral,
 key = {zzz coral},
 note = {http://coral.ie.lehigh.edu/data-sets/mixed-integer-instances/},
 title = {{COR@L} {MIP} {I}nstances},
 year = {2010}
}

Last Update Jul 31, 2019 by Gregor Hendel
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