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 Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
aflow40b 2728 1364 0 1364 1442 6783 T. Achterberg aflow easy 1168
ran12x21 504 252 0 252 285 1008 J. Aronson ran easy 3664
h50x2450 4900 2450 0 2450 2549 12152 MIPLIB submission pool fixed-cost-network-flow easy 32906.880834
n370b 10000 5000 0 5000 5150 20000 J. Aronson n37 open 1256398*
ran13x13 338 169 0 169 195 676 J. Aronson ran easy 3252

Reference

No bibliographic information available

Last Update Nov 19, 2018 by Gregor Hendel
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