markshare_5_0: Instance-to-Instance Comparison Results

Type: Instance
Submitter: G. Cornuéjols, M. Dawande
Description: Market sharing problem
MIPLIB Entry

Parent Instance (markshare_5_0)

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

markshare_5_0 Raw markshare_5_0 Decomposed markshare_5_0 Composite of MIC top 5 markshare_5_0 Composite of MIPLIB top 5 markshare_5_0 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.
stein15inf decomposed markshare1 decomposed stein9inf decomposed flugplinf decomposed markshare_4_0 decomposed
Name stein15inf [MIPLIB] markshare1 [MIPLIB] stein9inf [MIPLIB] flugplinf [MIPLIB] markshare_4_0 [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 / 0.635 2 / 0.636 3 / 0.637 4 / 0.657 5 / 0.663
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
stein15inf raw markshare1 raw stein9inf raw flugplinf raw markshare_4_0 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.
markshare1 decomposed markshare_4_0 decomposed markshare2 decomposed gt2 decomposed neos-5045105-creuse decomposed
Name markshare1 [MIPLIB] markshare_4_0 [MIPLIB] markshare2 [MIPLIB] gt2 [MIPLIB] neos-5045105-creuse [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.
2 / 0.636 5 / 0.663 7 / 0.680 14 / 0.841 788 / 1.971
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
markshare1 raw markshare_4_0 raw markshare2 raw gt2 raw neos-5045105-creuse raw

Instance Summary

The table below contains summary information for markshare_5_0, the five most similar instances to markshare_5_0 according to the MIC, and the five most similar instances to markshare_5_0 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance markshare_5_0 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 0.000000 -
MIC Top 5 stein15inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.634807 1
markshare1 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 0.636121 2
stein9inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.637380 3
flugplinf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.657414 4
markshare_4_0 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 0.662650 5
MIPLIB Top 5 markshare1 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 0.636121 2
markshare_4_0 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 0.662650 5
markshare2 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 0.679542 7
gt2 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.840684 14
neos-5045105-creuse [MIPLIB] Jeff Linderoth (None provided) 1.970677 788


markshare_5_0: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: markshare
Assigned Model Group Rank/ISS in the MIC: 1 / 1.048

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: markshare Model group: neos-pseudoapplication-74 Model group: scp Model group: stein Model group: neos-pseudoapplication-109
Name markshare neos-pseudoapplication-74 scp stein neos-pseudoapplication-109
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 / 1.048 2 / 1.165 3 / 1.181 4 / 1.303 5 / 1.360

Model Group Summary

The table below contains summary information for the five most similar model groups to markshare_5_0 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 markshare G. Cornuéjols, M. Dawande Market sharing problem 1.048363 1
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.165140 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 1.181142 3
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.302731 4
neos-pseudoapplication-109 Jeff Linderoth (None provided) 1.360169 5


Updated August 16, 2019