n7-3: Instance-to-Instance Comparison Results

Type: Instance
Submitter: A. Atamtürk
Description: Capacitated network design problem
MIPLIB Entry

Parent Instance (n7-3)

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

n7-3 Raw n7-3 Decomposed n7-3 Composite of MIC top 5 n7-3 Composite of MIPLIB top 5 n7-3 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.
n6-3 decomposed nu4-pr9 decomposed net12 decomposed neos-555884 decomposed gus-sch decomposed
Name n6-3 [MIPLIB] nu4-pr9 [MIPLIB] net12 [MIPLIB] neos-555884 [MIPLIB] gus-sch [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 / 0.255 2 / 0.388 3 / 0.389 4 / 0.399 5 / 0.423
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
n6-3 raw nu4-pr9 raw net12 raw neos-555884 raw gus-sch 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.
n6-3 decomposed n9-3 decomposed n13-3 decomposed n5-3 decomposed ta1-UUM decomposed
Name n6-3 [MIPLIB] n9-3 [MIPLIB] n13-3 [MIPLIB] n5-3 [MIPLIB] ta1-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 model groups. A smaller ISS value indicates greater similarity.
1 / 0.255 10 / 0.459 31 / 0.549 86 / 0.696 269 / 1.233
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
n6-3 raw n9-3 raw n13-3 raw n5-3 raw ta1-UUM raw

Instance Summary

The table below contains summary information for n7-3, the five most similar instances to n7-3 according to the MIC, and the five most similar instances to n7-3 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance n7-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.000000 -
MIC Top 5 n6-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.254899 1
nu4-pr9 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.388127 2
net12 [MIPLIB] P. Belotti Network design instance 0.388620 3
neos-555884 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.398634 4
gus-sch [MIPLIB] Alexandra M. Newman course scheduling model 0.422813 5
MIPLIB Top 5 n6-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.254899 1
n9-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.458943 10
n13-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.548756 31
n5-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.696148 86
ta1-UUM [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.232945 269


n7-3: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: nxy-z
Assigned Model Group Rank/ISS in the MIC: 17 / 1.205

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-105 Model group: beasley Model group: nus-prxy Model group: neos-pseudoapplication-2
Name aflow neos-pseudoapplication-105 beasley nus-prxy neos-pseudoapplication-2
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 / 0.523 2 / 0.616 3 / 0.786 4 / 0.822 5 / 0.850

Model Group Summary

The table below contains summary information for the five most similar model groups to n7-3 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 0.522916 1
neos-pseudoapplication-105 Jeff Linderoth (None provided) 0.615970 2
beasley F. Ortega, L. Wolsey Fixed cost network flow problems 0.786355 3
nus-prxy MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.822358 4
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.849948 5


Updated August 16, 2019