supportcase12: Instance-to-Instance Comparison Results

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

Parent Instance (supportcase12)

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

supportcase12 Raw supportcase12 Decomposed supportcase12 Composite of MIC top 5 supportcase12 Composite of MIPLIB top 5 supportcase12 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-4954274-beardy decomposed neos-5182409-nasivi decomposed neos-3703351-marne decomposed neos-1456979 decomposed neos-1337307 decomposed
Name neos-4954274-beardy [MIPLIB] neos-5182409-nasivi [MIPLIB] neos-3703351-marne [MIPLIB] neos-1456979 [MIPLIB] neos-1337307 [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 / 1.237 2 / 1.267 3 / 1.276 4 / 1.286 5 / 1.288
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-4954274-beardy raw neos-5182409-nasivi raw neos-3703351-marne raw neos-1456979 raw neos-1337307 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.
net12 decomposed neos-824661 decomposed neos-1445738 decomposed neos-1445743 decomposed neos-1445765 decomposed
Name net12 [MIPLIB] neos-824661 [MIPLIB] neos-1445738 [MIPLIB] neos-1445743 [MIPLIB] neos-1445765 [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.
63 / 1.453 161 / 1.557 725 / 2.051 759 / 2.079 760 / 2.082
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
net12 raw neos-824661 raw neos-1445738 raw neos-1445743 raw neos-1445765 raw

Instance Summary

The table below contains summary information for supportcase12, the five most similar instances to supportcase12 according to the MIC, and the five most similar instances to supportcase12 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance supportcase12 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 0.000000 -
MIC Top 5 neos-4954274-beardy [MIPLIB] Jeff Linderoth Reported solved after 77000 seconds using Gurobi with 32 threads. 1.237384 1
neos-5182409-nasivi [MIPLIB] Jeff Linderoth (None provided) 1.266655 2
neos-3703351-marne [MIPLIB] Jeff Linderoth (None provided) 1.275675 3
neos-1456979 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.286284 4
neos-1337307 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.287769 5
MIPLIB Top 5 net12 [MIPLIB] P. Belotti Network design instance 1.453460 63
neos-824661 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.557400 161
neos-1445738 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 2.050745 725
neos-1445743 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 2.079136 759
neos-1445765 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 2.081676 760


supportcase12: 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: exp_and_fc Model group: milo Model group: neos-pseudoapplication-73 Model group: cvs Model group: neos-pseudoapplication-14
Name exp_and_fc milo neos-pseudoapplication-73 cvs neos-pseudoapplication-14
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 / 1.568 2 / 1.649 3 / 1.683 4 / 1.735 5 / 1.749

Model Group Summary

The table below contains summary information for the five most similar model groups to supportcase12 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 exp_and_fc MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.567895 1
milo Tamas Terlaky The models come from structural design optimization where the objective is to minimize the total weight of 2 and 3 dimensional cantilevers. The 2D examples are simpler, and GuRobi can solve the 40_1 and 58_1 models, while struggles with 75_1. The 3D examples are more challenging. The x_0 and x_1 models are two different modeling of the same identical problems, so their optimal value is the same. The 1_x and 2_x problems are solved by GuRoBi, the 3_x and 4_x are not solved in reasonable time. 1.648680 2
neos-pseudoapplication-73 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.682612 3
cvs Michael Bastubbe Capacitated vertex separator problem on randomly generated hypergraph with 128 vertices and 89 hyperedges in at most 16 components each including at most 8 vertices. solved with default GCG/Soplex in about 2000 seconds. 1.735271 4
neos-pseudoapplication-14 Jeff Linderoth (None provided) 1.748599 5


Updated August 16, 2019