n13-3: Instance-to-Instance Comparison Results

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

Parent Instance (n13-3)

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

n13-3 Raw n13-3 Decomposed n13-3 Composite of MIC top 5 n13-3 Composite of MIPLIB top 5 n13-3 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.
n5-3 decomposed neos-1330346 decomposed comp08-2idx decomposed neos-3116779-oban decomposed n6-3 decomposed
Name n5-3 [MIPLIB] neos-1330346 [MIPLIB] comp08-2idx [MIPLIB] neos-3116779-oban [MIPLIB] n6-3 [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 / 0.450 2 / 0.469 3 / 0.520 4 / 0.532 5 / 0.539
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
n5-3 raw neos-1330346 raw comp08-2idx raw neos-3116779-oban raw n6-3 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.
n5-3 decomposed n6-3 decomposed n7-3 decomposed n9-3 decomposed ta1-UUM decomposed
Name n5-3 [MIPLIB] n6-3 [MIPLIB] n7-3 [MIPLIB] n9-3 [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 / 0.450 5 / 0.539 9 / 0.549 11 / 0.559 309 / 1.345
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
n5-3 raw n6-3 raw n7-3 raw n9-3 raw ta1-UUM raw

Instance Summary

The table below contains summary information for n13-3, the five most similar instances to n13-3 according to the MIC, and the five most similar instances to n13-3 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance n13-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.000000 -
MIC Top 5 n5-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.450377 1
neos-1330346 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.468899 2
comp08-2idx [MIPLIB] Matias Sørensen Instances comp01-21 of curriculum based course timetabling from the International Timetabling Competition 2007. These are time-assignment models (Stage I of the decomposed model), which are smaller than the full model, but still hard to solve. 0.520482 3
neos-3116779-oban [MIPLIB] Jeff Linderoth (None provided) 0.531775 4
n6-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.538824 5
MIPLIB Top 5 n5-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.450377 1
n6-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.538824 5
n7-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.548756 9
n9-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.558980 11
ta1-UUM [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.345431 309


n13-3: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: nxy-z
Assigned Model Group Rank/ISS in the MIC: 2 / 0.790

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: beasley Model group: nxy-z Model group: aflow Model group: neos-pseudoapplication-75 Model group: noip
Name beasley nxy-z aflow neos-pseudoapplication-75 noip
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 / 0.768 2 / 0.791 3 / 0.936 4 / 1.046 5 / 1.076

Model Group Summary

The table below contains summary information for the five most similar model groups to n13-3 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 beasley F. Ortega, L. Wolsey Fixed cost network flow problems 0.768048 1
nxy-z A. Atamtürk Capacitated network design problem 0.790743 2
aflow T. Achterberg Arborescence flow problem on a graph with 40 nodes and edge density 0.9 0.936117 3
neos-pseudoapplication-75 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.046036 4
noip Christopher Hojny integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists 1.076212 5


Updated August 16, 2019