aflow30a: Instance-to-Instance Comparison Results

Type: Instance
Submitter: T. Achterberg
Description: Arborescence flow problem
MIPLIB Entry

Parent Instance (aflow30a)

All other instances below were be compared against this "query" instance.

aflow30a Raw aflow30a Decomposed aflow30a Composite of MIC top 5 aflow30a Composite of MIPLIB top 5 aflow30a Model Group Composite
Raw This is the CCM image before the decomposition procedure has been applied.
Decomposed This is the CCM image after a decomposition procedure has been applied. This is the image used by the MIC's image-based comparisons for this query instance.
Composite of MIC Top 5 Composite of the five decomposed CCM images from the MIC Top 5.
Composite of MIPLIB Top 5 Composite of the five decomposed CCM images from the MIPLIB Top 5.
Model Group Composite Image Composite of the decomposed CCM images for every instance in the same model group as this query.

MIC Top 5 Instances

These are the 5 decomposed CCM images that are most similar to decomposed CCM image for the the query instance, according to the ISS metric.

Decomposed These decomposed images were created by GCG.
neos-3426085-ticino decomposed neos-3530905-gaula decomposed neos-3530903-gauja decomposed k16x240b decomposed germany50-UUM decomposed
Name neos-3426085-ticino [MIPLIB] neos-3530905-gaula [MIPLIB] neos-3530903-gauja [MIPLIB] k16x240b [MIPLIB] germany50-UUM [MIPLIB]
Rank / ISS The image-based structural similarity (ISS) metric measures the Euclidean distance between the image-based feature vectors for the query instance and all other instances. A smaller ISS value indicates greater similarity.
1 / 0.345 2 / 0.385 3 / 0.400 4 / 0.427 5 / 0.434
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-3426085-ticino raw neos-3530905-gaula raw neos-3530903-gauja raw k16x240b raw germany50-UUM raw

MIPLIB Top 5 Instances

These are the 5 instances that are most closely related to the query instance, according to the instance statistic-based similarity measure employed by MIPLIB 2017

Decomposed These decomposed images were created by GCG.
aflow40b decomposed ran12x21 decomposed ran13x13 decomposed h50x2450 decomposed n370b decomposed
Name aflow40b [MIPLIB] ran12x21 [MIPLIB] ran13x13 [MIPLIB] h50x2450 [MIPLIB] n370b* [MIPLIB]
Rank / ISS The image-based structural similarity (ISS) metric measures the Euclidean distance between the image-based feature vectors for the query instance and all model groups. A smaller ISS value indicates greater similarity.
7 / 0.442 21 / 0.489 112 / 0.735 275 / 1.155 78* / 0.624*
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
aflow40b raw ran12x21 raw ran13x13 raw h50x2450 raw n370b raw

Instance Summary

The table below contains summary information for aflow30a, the five most similar instances to aflow30a according to the MIC, and the five most similar instances to aflow30a according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance aflow30a [MIPLIB] T. Achterberg Arborescence flow problem 0.000000 -
MIC Top 5 neos-3426085-ticino [MIPLIB] Jeff Linderoth (None provided) 0.345476 1
neos-3530905-gaula [MIPLIB] Jeff Linderoth (None provided) 0.384727 2
neos-3530903-gauja [MIPLIB] Jeff Linderoth (None provided) 0.400160 3
k16x240b [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.427467 4
germany50-UUM [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.434178 5
MIPLIB Top 5 aflow40b [MIPLIB] T. Achterberg Arborescence flow problem on a graph with 40 nodes and edge density 0.9 0.442033 7
ran12x21 [MIPLIB] J. Aronson Fixed charge transportation problem 0.488597 21
ran13x13 [MIPLIB] J. Aronson Fixed charge transportation problem 0.735449 112
h50x2450 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.154941 275
n370b* [MIPLIB] J. Aronson Fixed charge transportation problem 0.623983* 78*


aflow30a: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: aflow
Assigned Model Group Rank/ISS in the MIC: 1 / 0.526

MIC Top 5 Model Groups

These are the 5 model group composite (MGC) images that are most similar to the decomposed CCM image for the query instance, according to the ISS metric.

These are model group composite (MGC) images for the MIC top 5 model groups.
Model group: aflow Model group: neos-pseudoapplication-2 Model group: noip Model group: beasley Model group: neos-pseudoapplication-105
Name aflow neos-pseudoapplication-2 noip beasley neos-pseudoapplication-105
Rank / ISS The image-based structural similarity (ISS) metric measures the Euclidean distance between the image-based feature vectors for the query instance and all other instances. A smaller ISS value indicates greater similarity.
1 / 0.526 2 / 0.658 3 / 0.779 4 / 0.787 5 / 0.833

Model Group Summary

The table below contains summary information for the five most similar model groups to aflow30a according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 aflow T. Achterberg Arborescence flow problem on a graph with 40 nodes and edge density 0.9 0.526223 1
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.658055 2
noip Christopher Hojny integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists 0.778732 3
beasley F. Ortega, L. Wolsey Fixed cost network flow problems 0.787156 4
neos-pseudoapplication-105 Jeff Linderoth (None provided) 0.832989 5


* n370b is a duplicate of n3707.

Updated August 16, 2019