neos-873061: Instance-to-Instance Comparison Results

Type: Instance
Submitter: NEOS Server Submission
Description: Imported from the MIPLIB2010 submissions.
MIPLIB Entry

Parent Instance (neos-873061)

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

neos-873061 Raw neos-873061 Decomposed neos-873061 Composite of MIC top 5 neos-873061 Composite of MIPLIB top 5 neos-873061 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-872648 decomposed neos-1112782 decomposed neos-1112787 decomposed h50x2450 decomposed h80x6320d decomposed
Name neos-872648 [MIPLIB] neos-1112782 [MIPLIB] neos-1112787 [MIPLIB] h50x2450 [MIPLIB] h80x6320d [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 / 0.139 2 / 0.509 3 / 0.525 4 / 0.652 5 / 0.783
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-872648 raw neos-1112782 raw neos-1112787 raw h50x2450 raw h80x6320d 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-872648 decomposed supportcase37 decomposed neos-3755335-nizao decomposed neos-3759587-noosa decomposed in decomposed
Name neos-872648 [MIPLIB] supportcase37 [MIPLIB] neos-3755335-nizao [MIPLIB] neos-3759587-noosa [MIPLIB] neos-872648** [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 / 0.139 689 / 1.805 788 / 2.052 801 / 2.093 N.A.** / N.A.**
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-872648 raw supportcase37 raw neos-3755335-nizao raw neos-3759587-noosa raw in raw

Instance Summary

The table below contains summary information for neos-873061, the five most similar instances to neos-873061 according to the MIC, and the five most similar instances to neos-873061 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-873061 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 neos-872648 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.138860 1
neos-1112782 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.509153 2
neos-1112787 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.525206 3
h50x2450 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.652433 4
h80x6320d [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.782702 5
MIPLIB Top 5 neos-872648 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.138860 1
supportcase37 [MIPLIB] Domenico Salvagnin Instance coming from IBM developerWorks forum with unknown application. 1.804820 689
neos-3755335-nizao [MIPLIB] Jeff Linderoth (None provided) 2.051511 788
neos-3759587-noosa [MIPLIB] Jeff Linderoth (None provided) 2.093275 801
neos-872648** [MIPLIB] Armin Fuegenschuh Packing of paths, multicommodity flow formulation. Solved in December 2013 by Gurobi development version. N.A.** N.A.**


neos-873061: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-61
Assigned Model Group Rank/ISS in the MIC: 129 / 2.934

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-89 Model group: neos-pseudoapplication-74 Model group: scp Model group: neos-pseudoapplication-109 Model group: neos-pseudoapplication-2
Name neos-pseudoapplication-89 neos-pseudoapplication-74 scp neos-pseudoapplication-109 neos-pseudoapplication-2
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 / 0.710 2 / 1.358 3 / 1.477 4 / 1.568 5 / 1.570

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-873061 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-89 NEOS Server Submission Model coming from the NEOS Server with unknown application 0.709679 1
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.357892 2
scp Shunji Umetani This is a random test model generator for SCP using the scheme of the following paper, namely the column cost c[j] are integer randomly generated from [1,100]; every column covers at least one row; and every row is covered by at least two columns. see reference: E. Balas and A. Ho, Set covering algorithms using cutting planes, heuristics, and subgradient optimization: A computational study, Mathematical Programming, 12 (1980), 37-60. We have newly generated Classes I-N with the following parameter values, where each class has five models. We have also generated reduced models by a standard pricing method in the following paper: S. Umetani and M. Yagiura, Relaxation heuristics for the set covering problem, Journal of the Operations Research Society of Japan, 50 (2007), 350-375. You can obtain the model generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark 1.476924 3
neos-pseudoapplication-109 Jeff Linderoth (None provided) 1.567513 4
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.569889 5


** in could not be decomposed by GCG, and was not included in our dataset.