Submitter Variables Constraints Density Status Group Objective MPS File
T. Achterberg 2728 1442 1.7243e-03 easy aflow 1168 aflow40b.mps.gz

Arborescence flow problem on a graph with 40 nodes and edge density 0.9

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 2728 2728
Constraints 1442 1442
Binaries 1364 1364
Integers 0 0
Continuous 1364 1364
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0017243 0.0017243
Nonzeroes 6783 6783
Constraint Classification Properties
Original Presolved
Total 1442 1442
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 1364 1364
Set Partitioning 39 39
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 39 39
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 1.602060
Constraint % 2.14979 2.49475 2.49653 2.70458
Variable % 2.19941 2.56410 2.56598 2.78592
Score 0.947936

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
2 1168 1168 0 0 0 - 2018-10-10 Solution imported from MIPLIB2010.
1 1168 1168 0 0 0 - 2018-10-10 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to aflow40b 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
aflow30a 842 421 0 421 479 2091 T. Achterberg aflow easy 1158
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*
n3707 10000 5000 0 5000 5150 20000 J. Aronson n37 open 1217798*
n3700 10000 5000 0 5000 5150 20000 J. Aronson n37 open 1245141*

Reference

@mastersthesis{Pfender2000,
 author = {T. Pfender},
 instance = {aflow50},
 language = {German},
 school = {Technische {Universit\"at} Berlin},
 title = {{Arboreszenz-Fl\"usse} in {G}raphen: polyedrische {U}ntersuchungen},
 type = {Diploma thesis},
 year = {2000}
}

Last Update Nov 19, 2018 by Gregor Hendel
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