neos-525149: Instance-to-Instance Comparison Results

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

Parent Instance (neos-525149)

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

neos-525149 Raw neos-525149 Decomposed neos-525149 Composite of MIC top 5 neos-525149 Composite of MIPLIB top 5 neos-525149 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.
gen-ip054 decomposed gen-ip002 decomposed scpm1 decomposed mad decomposed f2gap40400 decomposed
Name gen-ip054 [MIPLIB] gen-ip002 [MIPLIB] scpm1 [MIPLIB] mad [MIPLIB] f2gap40400 [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 / 1.149 2 / 1.178 3 / 1.191 4 / 1.192 5 / 1.197
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
gen-ip054 raw gen-ip002 raw scpm1 raw mad raw f2gap40400 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-1601936 decomposed neos-4477313-unzha decomposed neos-691058 decomposed assign1-10-4 decomposed ns1830653 decomposed
Name neos-1601936 [MIPLIB] neos-4477313-unzha [MIPLIB] neos-691058 [MIPLIB] assign1-10-4 [MIPLIB] ns1830653 [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.
765 / 1.886 767 / 1.893 817 / 1.975 879 / 2.190 908 / 2.359
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-1601936 raw neos-4477313-unzha raw neos-691058 raw assign1-10-4 raw ns1830653 raw

Instance Summary

The table below contains summary information for neos-525149, the five most similar instances to neos-525149 according to the MIC, and the five most similar instances to neos-525149 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-525149 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 gen-ip054 [MIPLIB] Simon Bowly Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. 1.149037 1
gen-ip002 [MIPLIB] Simon Bowly Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. 1.177779 2
scpm1 [MIPLIB] Shunji Umetani This is a random test instance 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 instances. We have also generated reduced instances 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 instance generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark 1.191128 3
mad [MIPLIB] Koichi Fujii Mean-Absolute Deviation Model for Car Dealerships 1.191963 4
f2gap40400 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.196983 5
MIPLIB Top 5 neos-1601936 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.886076 765
neos-4477313-unzha [MIPLIB] Jeff Linderoth (None provided) 1.893393 767
neos-691058 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.975344 817
assign1-10-4 [MIPLIB] Robert Fourer Imported from the MIPLIB2010 submissions. 2.189776 879
ns1830653 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 2.358512 908


neos-525149: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-110
Assigned Model Group Rank/ISS in the MIC: 238 / 5.418

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: scp Model group: stein Model group: map Model group: neos-pseudoapplication-21
Name markshare scp stein map neos-pseudoapplication-21
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 / 1.458 2 / 1.534 3 / 1.632 4 / 1.724 5 / 1.736

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-525149 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 markshare G. Cornuéjols, M. Dawande Market sharing problem 1.457703 1
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 1.534423 2
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.631635 3
map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 1.723575 4
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.736178 5