n9-3: Instance-to-Instance Comparison Results

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

Parent Instance (n9-3)

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

n9-3 Raw n9-3 Decomposed n9-3 Composite of MIC top 5 n9-3 Composite of MIPLIB top 5 n9-3 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 n7-3 decomposed neos-555424 decomposed neos-4736745-arroux decomposed neos-1593097 decomposed
Name n6-3 [MIPLIB] n7-3 [MIPLIB] neos-555424 [MIPLIB] neos-4736745-arroux [MIPLIB] neos-1593097 [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 / 0.397 2 / 0.459 3 / 0.460 4 / 0.480 5 / 0.488
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
n6-3 raw n7-3 raw neos-555424 raw neos-4736745-arroux raw neos-1593097 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 n7-3 decomposed n13-3 decomposed n5-3 decomposed ger50-17-ptp-pop-3t decomposed
Name n6-3 [MIPLIB] n7-3 [MIPLIB] n13-3 [MIPLIB] n5-3 [MIPLIB] ger50-17-ptp-pop-3t* [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 / 0.397 2 / 0.459 15 / 0.559 22 / 0.595 533* / 1.639*
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
n6-3 raw n7-3 raw n13-3 raw n5-3 raw ger50-17-ptp-pop-3t raw

Instance Summary

The table below contains summary information for n9-3, the five most similar instances to n9-3 according to the MIC, and the five most similar instances to n9-3 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance n9-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.000000 -
MIC Top 5 n6-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.396619 1
n7-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.458943 2
neos-555424 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.460443 3
neos-4736745-arroux [MIPLIB] Jeff Linderoth (None provided) 0.479636 4
neos-1593097 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.487781 5
MIPLIB Top 5 n6-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.396619 1
n7-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.458943 2
n13-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.558980 15
n5-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.594706 22
ger50-17-ptp-pop-3t* [MIPLIB] C. Raack Multi-layer network design problem using a link-flow formulation over a path-flow formulation. 1.638638* 533*


n9-3: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: nxy-z
Assigned Model Group Rank/ISS in the MIC: 9 / 1.027

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: noip Model group: neos-pseudoapplication-2
Name aflow neos-pseudoapplication-105 beasley noip 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 / 0.591 2 / 0.730 3 / 0.735 4 / 0.870 5 / 0.893

Model Group Summary

The table below contains summary information for the five most similar model groups to n9-3 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 0.590600 1
neos-pseudoapplication-105 Jeff Linderoth (None provided) 0.729969 2
beasley F. Ortega, L. Wolsey Fixed cost network flow problems 0.734610 3
noip Christopher Hojny integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists 0.870339 4
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.892741 5


* ger50-17-ptp-pop-3t is a duplicate of ger50-17-ptp-pop-6t.

Updated August 16, 2019