ran13x13: Instance-to-Instance Comparison Results

Type: Instance
Submitter: J. Aronson
Description: Fixed charge transportation problem
MIPLIB Entry

Parent Instance (ran13x13)

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

ran13x13 Raw ran13x13 Decomposed ran13x13 Composite of MIC top 5 ran13x13 Composite of MIPLIB top 5 ran13x13 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-1140050 decomposed nexp-50-20-1-1 decomposed p200x1188c decomposed neos-1425699 decomposed r50x360 decomposed
Name neos-1140050 [MIPLIB] nexp-50-20-1-1 [MIPLIB] p200x1188c [MIPLIB] neos-1425699 [MIPLIB] r50x360 [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 / 0.465 2 / 0.478 3 / 0.499 4 / 0.513 5 / 0.515
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-1140050 raw nexp-50-20-1-1 raw p200x1188c raw neos-1425699 raw r50x360 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.
gr4x6 decomposed g503inf decomposed aflow30a decomposed ran12x21 decomposed gen decomposed
Name gr4x6 [MIPLIB] g503inf [MIPLIB] aflow30a [MIPLIB] ran12x21 [MIPLIB] gen [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.
33 / 0.654 43 / 0.697 56 / 0.735 80 / 0.780 220 / 1.027
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
gr4x6 raw g503inf raw aflow30a raw ran12x21 raw gen raw

Instance Summary

The table below contains summary information for ran13x13, the five most similar instances to ran13x13 according to the MIC, and the five most similar instances to ran13x13 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance ran13x13 [MIPLIB] J. Aronson Fixed charge transportation problem 0.000000 -
MIC Top 5 neos-1140050 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application. Infeasibility claimed by CPLEX 12.6 and CPLEX 12.6.1 with extreme numerical caution emphasi after 4 and 2 hours computation, respectively. 0.465137 1
nexp-50-20-1-1 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.478354 2
p200x1188c [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.498769 3
neos-1425699 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.513487 4
r50x360 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.515008 5
MIPLIB Top 5 gr4x6 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.654465 33
g503inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.697031 43
aflow30a [MIPLIB] T. Achterberg Arborescence flow problem 0.735449 56
ran12x21 [MIPLIB] J. Aronson Fixed charge transportation problem 0.779799 80
gen [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.026874 220


ran13x13: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: ran
Assigned Model Group Rank/ISS in the MIC: 126 / 2.607

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: neos-pseudoapplication-2 Model group: noip Model group: neos-pseudoapplication-109 Model group: mc Model group: neos-pseudoapplication-99
Name neos-pseudoapplication-2 noip neos-pseudoapplication-109 mc neos-pseudoapplication-99
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 / 0.873 2 / 0.930 3 / 1.010 4 / 1.037 5 / 1.077

Model Group Summary

The table below contains summary information for the five most similar model groups to ran13x13 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.873035 1
noip Christopher Hojny integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists 0.929717 2
neos-pseudoapplication-109 Jeff Linderoth (None provided) 1.009955 3
mc F. Ortega, L. Wolsey Fixed cost network flow problems 1.037375 4
neos-pseudoapplication-99 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.077249 5


Updated August 16, 2019