aflow30a

decomposition benchmark_suitable variable_bound set_partitioning mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
T. Achterberg 842 479 5.18449e-03 easy aflow 1158 aflow30a.mps.gz

Arborescence flow problem

Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 842 842
Constraints 479 479
Binaries 421 421
Integers 0 0
Continuous 421 421
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00518449 0.00518449
Nonzeroes 2091 2091
Constraint Classification Properties
Original Presolved
Total 479 479
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 421 421
Set Partitioning 29 29
Set Packing 0 0
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 29 29
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 1.477121
Constraint % 2.29645 3.23951 3.34029 4.17537
Variable % 2.37530 3.44828 3.56295 4.51306
Score 0.906203

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 1158 1158 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to aflow30a 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
aflow40b easy 2728 1364 0 1364 1442 6783 T. Achterberg aflow 1168 decomposition benchmark_suitable variable_bound set_partitioning mixed_binary
ran12x21 easy 504 252 0 252 285 1008 J. Aronson ran 3664 decomposition benchmark_suitable variable_bound mixed_binary
h50x2450 easy 4900 2450 0 2450 2549 12152 MIPLIB submission pool fixed-cost-network-flow 32906.880834 decomposition benchmark_suitable variable_bound set_partitioning mixed_binary
n370b open 10000 5000 0 5000 5150 20000 J. Aronson n37 1256398* decomposition variable_bound mixed_binary
ran13x13 easy 338 169 0 169 195 676 J. Aronson ran 3252 decomposition benchmark_suitable variable_bound mixed_binary

Reference

No bibliographic information available

Last Update Jun 24, 2019 by Gregor Hendel
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