uccase12: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Daniel Espinoza
Description: Imported from the MIPLIB2010 submissions.
MIPLIB Entry

Parent Instance (uccase12)

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

uccase12 Raw uccase12 Decomposed uccase12 Composite of MIC top 5 uccase12 Composite of MIPLIB top 5 uccase12 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.
uccase10 decomposed arki001 decomposed air03 decomposed neos-565672 decomposed momentum1 decomposed
Name uccase10 [MIPLIB] arki001 [MIPLIB] air03 [MIPLIB] neos-565672 [MIPLIB] momentum1 [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 / 1.372 2 / 1.472 3 / 1.567 4 / 1.618 5 / 1.639
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
uccase10 raw arki001 raw air03 raw neos-565672 raw momentum1 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.
uccase10 decomposed uccase9 decomposed uccase7 decomposed uccase8 decomposed ns1430538 decomposed
Name uccase10 [MIPLIB] uccase9 [MIPLIB] uccase7 [MIPLIB] uccase8 [MIPLIB] ns1430538 [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 / 1.372 101 / 2.071 104 / 2.080 112 / 2.095 590 / 2.435
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
uccase10 raw uccase9 raw uccase7 raw uccase8 raw ns1430538 raw

Instance Summary

The table below contains summary information for uccase12, the five most similar instances to uccase12 according to the MIC, and the five most similar instances to uccase12 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance uccase12 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 uccase10 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 1.372150 1
arki001 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.471607 2
air03 [MIPLIB] G. Astfalk Airline crew scheduling set partitioning problem 1.566936 3
neos-565672 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.617684 4
momentum1 [MIPLIB] T. Koch Snapshot based UMTS planning problem, having a very wide dynamic range in the matrix coefficients and tending to be numerically unstable. Solved with Gurobi 4.5.1 on a 12-core Linux system in 3590.41 sec. 1.639482 5
MIPLIB Top 5 uccase10 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 1.372150 1
uccase9 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 2.071157 101
uccase7 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 2.080240 104
uccase8 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 2.094575 112
ns1430538 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application. 2.434992 590


uccase12: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: uccase
Assigned Model Group Rank/ISS in the MIC: 1 / 1.481

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: uccase Model group: stein Model group: neos-pseudoapplication-21 Model group: scp Model group: markshare
Name uccase stein neos-pseudoapplication-21 scp 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 / 1.482 2 / 1.679 3 / 1.741 4 / 1.743 5 / 1.774

Model Group Summary

The table below contains summary information for the five most similar model groups to uccase12 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 uccase Daniel Espinoza Imported from the MIPLIB2010 submissions. 1.481980 1
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.678987 2
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.740698 3
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 1.743005 4
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.774481 5


Updated August 16, 2019