neos-3068746-nene: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Jeff Linderoth
Description: (None provided)
MIPLIB Entry

Parent Instance (neos-3068746-nene)

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

neos-3068746-nene Raw neos-3068746-nene Decomposed neos-3068746-nene Composite of MIC top 5 neos-3068746-nene Composite of MIPLIB top 5 neos-3068746-nene 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.
fiber decomposed opt1217 decomposed khb05250 decomposed neos-4966258-blicks decomposed neos-5118851-kowhai decomposed
Name fiber [MIPLIB] opt1217 [MIPLIB] khb05250 [MIPLIB] neos-4966258-blicks [MIPLIB] neos-5118851-kowhai [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 / 1.005 2 / 1.049 3 / 1.057 4 / 1.080 5 / 1.080
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
fiber raw opt1217 raw khb05250 raw neos-4966258-blicks raw neos-5118851-kowhai 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-2974461-ibar decomposed neos-4358725-tagus decomposed gasprod1-2 decomposed msc98-ip decomposed gasprod2-2 decomposed
Name neos-2974461-ibar [MIPLIB] neos-4358725-tagus [MIPLIB] gasprod1-2 [MIPLIB] msc98-ip [MIPLIB] gasprod2-2 [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.
45 / 1.247 725 / 1.808 908 / 2.435 935 / 2.651 937 / 2.685
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-2974461-ibar raw neos-4358725-tagus raw gasprod1-2 raw msc98-ip raw gasprod2-2 raw

Instance Summary

The table below contains summary information for neos-3068746-nene, the five most similar instances to neos-3068746-nene according to the MIC, and the five most similar instances to neos-3068746-nene according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-3068746-nene [MIPLIB] Jeff Linderoth (None provided) 0.000000 -
MIC Top 5 fiber [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.005052 1
opt1217 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.049175 2
khb05250 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.056752 3
neos-4966258-blicks [MIPLIB] Jeff Linderoth (None provided) 1.079613 4
neos-5118851-kowhai [MIPLIB] Jeff Linderoth (None provided) 1.079840 5
MIPLIB Top 5 neos-2974461-ibar [MIPLIB] Jeff Linderoth (None provided) 1.246639 45
neos-4358725-tagus [MIPLIB] Jeff Linderoth (None provided) 1.807648 725
gasprod1-2 [MIPLIB] Andrew Stamps Production planning model for an industrial gas process. Three instances of the model included. 2.434671 908
msc98-ip [MIPLIB] E-Plus, D. Bienstock, A. Bley, R. Wessäly Min-cost network dimensioning problems with a finite set of link capacities for each bidirected link, unsplittable shortest path routing, path restoration for single node failures, and routing path length restrictions 2.651033 935
gasprod2-2 [MIPLIB] Andrew Stamps Production planning model of a second industrial gas system. Two model instances included. 2.685085 937


neos-3068746-nene: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-45
Assigned Model Group Rank/ISS in the MIC: 89 / 2.333

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: scp Model group: neos-pseudoapplication-74 Model group: neos-pseudoapplication-109 Model group: neos-pseudoapplication-40 Model group: pfour
Name scp neos-pseudoapplication-74 neos-pseudoapplication-109 neos-pseudoapplication-40 pfour
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 / 1.527 2 / 1.550 3 / 1.718 4 / 1.726 5 / 1.736

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-3068746-nene according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 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 1.527364 1
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.550310 2
neos-pseudoapplication-109 Jeff Linderoth (None provided) 1.717889 3
neos-pseudoapplication-40 Jeff Linderoth (None provided) 1.726231 4
pfour MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.736314 5