p0201: Instance-to-Instance Comparison Results

Type: Instance
Submitter: MIPLIB submission pool
Description: Imported from the MIPLIB2010 submissions.
MIPLIB Entry

Parent Instance (p0201)

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

p0201 Raw p0201 Decomposed p0201 Composite of MIC top 5 p0201 Composite of MIPLIB top 5 p0201 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.
g503inf decomposed gt2 decomposed neos-5192052-neckar decomposed opt1217 decomposed pk1 decomposed
Name g503inf [MIPLIB] gt2 [MIPLIB] neos-5192052-neckar [MIPLIB] opt1217 [MIPLIB] pk1 [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 / 0.983 3 / 0.988 4 / 0.992 5 / 1.012
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
g503inf raw gt2 raw neos-5192052-neckar raw opt1217 raw pk1 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-3696678-lyvia decomposed neos-3581454-haast decomposed neos-932721 decomposed mitre decomposed neos18 decomposed
Name neos-3696678-lyvia [MIPLIB] neos-3581454-haast [MIPLIB] neos-932721 [MIPLIB] mitre [MIPLIB] neos18 [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.
107 / 1.183 338 / 1.331 453 / 1.408 460 / 1.413 716 / 1.724
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-3696678-lyvia raw neos-3581454-haast raw neos-932721 raw mitre raw neos18 raw

Instance Summary

The table below contains summary information for p0201, the five most similar instances to p0201 according to the MIC, and the five most similar instances to p0201 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance p0201 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 g503inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.959303 1
gt2 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.983407 2
neos-5192052-neckar [MIPLIB] Jeff Linderoth (None provided) 0.988083 3
opt1217 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.991592 4
pk1 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.012363 5
MIPLIB Top 5 neos-3696678-lyvia [MIPLIB] Jeff Linderoth (None provided) 1.182931 107
neos-3581454-haast [MIPLIB] Jeff Linderoth (None provided) 1.330944 338
neos-932721 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.407696 453
mitre [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.413433 460
neos18 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.724446 716


p0201: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: pfour
Assigned Model Group Rank/ISS in the MIC: 1 / 0.000

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: pfour Model group: neos-pseudoapplication-74 Model group: scp Model group: neos-pseudoapplication-40 Model group: markshare
Name pfour neos-pseudoapplication-74 scp neos-pseudoapplication-40 markshare
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 / 0.001 2 / 1.420 3 / 1.504 4 / 1.558 5 / 1.566

Model Group Summary

The table below contains summary information for the five most similar model groups to p0201 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 pfour MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.000977 1
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.420307 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 1.504360 3
neos-pseudoapplication-40 Jeff Linderoth (None provided) 1.558402 4
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.565901 5


Updated August 16, 2019