supportcase18: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Michael Winkler
Description: MIP instances collected from Gurobi forum with unknown application
MIPLIB Entry

Parent Instance (supportcase18)

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

supportcase18 Raw supportcase18 Decomposed supportcase18 Composite of MIC top 5 supportcase18 Composite of MIPLIB top 5 supportcase18 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.
10teams decomposed ger50-17-ptp-pop-6t decomposed neos-848198 decomposed neos-952987 decomposed mzzv42z decomposed
Name 10teams [MIPLIB] ger50-17-ptp-pop-6t [MIPLIB] neos-848198 [MIPLIB] neos-952987 [MIPLIB] mzzv42z [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 / 0.959 2 / 1.054 3 / 1.099 4 / 1.166 5 / 1.175
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
10teams raw ger50-17-ptp-pop-6t raw neos-848198 raw neos-952987 raw mzzv42z 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.
neos-503737 decomposed neos-3322547-alsek decomposed neos-4343293-stony decomposed fhnw-binschedule2 decomposed peg-solitaire-a3 decomposed
Name neos-503737 [MIPLIB] neos-3322547-alsek [MIPLIB] neos-4343293-stony [MIPLIB] fhnw-binschedule2 [MIPLIB] peg-solitaire-a3 [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.
20 / 1.359 28 / 1.442 100 / 1.667 355 / 1.988 407 / 2.037
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-503737 raw neos-3322547-alsek raw neos-4343293-stony raw fhnw-binschedule2 raw peg-solitaire-a3 raw

Instance Summary

The table below contains summary information for supportcase18, the five most similar instances to supportcase18 according to the MIC, and the five most similar instances to supportcase18 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance supportcase18 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 0.000000 -
MIC Top 5 10teams [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.958998 1
ger50-17-ptp-pop-6t [MIPLIB] C. Raack Multi-layer network design problem using a link-flow formulation over a path-flow formulation. 1.054216 2
neos-848198 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.099191 3
neos-952987 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.166108 4
mzzv42z [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.175173 5
MIPLIB Top 5 neos-503737 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.358841 20
neos-3322547-alsek [MIPLIB] Jeff Linderoth (None provided) 1.441539 28
neos-4343293-stony [MIPLIB] Jeff Linderoth (None provided) 1.666556 100
fhnw-binschedule2 [MIPLIB] Simon Felix Scheduling/assignment for an industrial production pipeline 1.988203 355
peg-solitaire-a3 [MIPLIB] Hiroshige Dan Model to solve instance of a board game "Peg solitaire" 2.036602 407


supportcase18: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: no model group assignment
Assigned Model Group Rank/ISS in the MIC: N.A. / N.A.

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-22 Model group: ger50 Model group: fhnw-sq Model group: neos-pseudoapplication-77 Model group: neos-pseudoapplication-10
Name neos-pseudoapplication-22 ger50 fhnw-sq neos-pseudoapplication-77 neos-pseudoapplication-10
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 / 1.349 2 / 1.785 3 / 1.795 4 / 1.841 5 / 1.976

Model Group Summary

The table below contains summary information for the five most similar model groups to supportcase18 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-22 Jeff Linderoth (None provided) 1.348669 1
ger50 C. Raack Multi-layer network design problem using a link-flow formulation over a path-flow formulation. 1.785023 2
fhnw-sq Simon Felix Combinatorial toy fesability problem: Magic square. Models 1 & 2 are feasible, model 3 is unknown. 1.794790 3
neos-pseudoapplication-77 Jeff Linderoth (None provided) 1.840951 4
neos-pseudoapplication-10 NEOS Server Submission Collection of anonymous submissions to the NEOS Server for Optimization 1.976062 5