sct2: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Siemens
Description: Assembly line balancing for printed circuit board production
MIPLIB Entry

Parent Instance (sct2)

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

sct2 Raw sct2 Decomposed sct2 Composite of MIC top 5 sct2 Composite of MIPLIB top 5 sct2 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-738098 decomposed neos-935769 decomposed neos-2669500-cust decomposed neos-5138690-middle decomposed gsvm2rl5 decomposed
Name neos-738098 [MIPLIB] neos-935769 [MIPLIB] neos-2669500-cust [MIPLIB] neos-5138690-middle [MIPLIB] gsvm2rl5 [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 / 1.107 2 / 1.144 3 / 1.156 4 / 1.162 5 / 1.170
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-738098 raw neos-935769 raw neos-2669500-cust raw neos-5138690-middle raw gsvm2rl5 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.
sct5 decomposed gus-sch decomposed sct31 decomposed sct32 decomposed sct1 decomposed
Name sct5 [MIPLIB] gus-sch [MIPLIB] sct31 [MIPLIB] sct32 [MIPLIB] sct1 [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.
19 / 1.217 221 / 1.476 775 / 2.017 870 / 2.255 871 / 2.260
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
sct5 raw gus-sch raw sct31 raw sct32 raw sct1 raw

Instance Summary

The table below contains summary information for sct2, the five most similar instances to sct2 according to the MIC, and the five most similar instances to sct2 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance sct2 [MIPLIB] Siemens Assembly line balancing for printed circuit board production 0.000000 -
MIC Top 5 neos-738098 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.106834 1
neos-935769 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.144425 2
neos-2669500-cust [MIPLIB] Jeff Linderoth (None provided) 1.156156 3
neos-5138690-middle [MIPLIB] Jeff Linderoth (None provided) 1.161905 4
gsvm2rl5 [MIPLIB] Toni Sorrell Suport vector machine with ramp loss. GSVM2-RL is the formulation found in Hess E. and Brooks P. (2015) paper, The Support Vector Machine and Mixed Integer Linear Programming: Ramp Loss SVM with L1-Norm Regularization 1.170288 5
MIPLIB Top 5 sct5 [MIPLIB] Siemens Assembly line balancing for printed circuit board production 1.217395 19
gus-sch [MIPLIB] Alexandra M. Newman course scheduling model 1.475610 221
sct31 [MIPLIB] Siemens Assembly line balancing for printed circuit board production 2.017003 775
sct32 [MIPLIB] Siemens Assembly line balancing for printed circuit board production. First solved by Gurobi 7.0 in 65 hours (32 threads). 2.254786 870
sct1 [MIPLIB] Siemens Assembly line balancing for printed circuit board production 2.260493 871


sct2: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: sct
Assigned Model Group Rank/ISS in the MIC: 185 / 3.225

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-92 Model group: supportvectormachine Model group: pfour Model group: neos-pseudoapplication-40 Model group: neos-pseudoapplication-109
Name neos-pseudoapplication-92 supportvectormachine pfour neos-pseudoapplication-40 neos-pseudoapplication-109
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 / 1.686 2 / 1.732 3 / 1.749 4 / 1.793 5 / 1.815

Model Group Summary

The table below contains summary information for the five most similar model groups to sct2 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-92 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.686495 1
supportvectormachine Toni Sorrell Suport vector machine with ramp loss. GSVM2-RL is the formulation found in Hess E. and Brooks P. (2015) paper, The Support Vector Machine and Mixed Integer Linear Programming: Ramp Loss SVM with L1-Norm Regularization 1.732155 2
pfour MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.749357 3
neos-pseudoapplication-40 Jeff Linderoth (None provided) 1.792931 4
neos-pseudoapplication-109 Jeff Linderoth (None provided) 1.815139 5