neos-4722843-widden: Instance-to-Instance Comparison Results

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

Parent Instance (neos-4722843-widden)

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

neos-4722843-widden Raw neos-4722843-widden Decomposed neos-4722843-widden Composite of MIC top 5 neos-4722843-widden Composite of MIPLIB top 5 neos-4722843-widden 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.
neos-4724674-aorere decomposed gen-ip054 decomposed gt2 decomposed scpm1 decomposed gen-ip002 decomposed
Name neos-4724674-aorere [MIPLIB] gen-ip054 [MIPLIB] gt2 [MIPLIB] scpm1 [MIPLIB] gen-ip002 [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 / 0.649 2 / 1.148 3 / 1.171 4 / 1.172 5 / 1.175
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-4724674-aorere raw gen-ip054 raw gt2 raw scpm1 raw gen-ip002 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-4724674-aorere decomposed neos-4306827-ravan decomposed neos-4260495-otere decomposed neos-4295773-pissa decomposed neos-4805882-barwon decomposed
Name neos-4724674-aorere [MIPLIB] neos-4306827-ravan [MIPLIB] neos-4260495-otere [MIPLIB] neos-4295773-pissa [MIPLIB] neos-4805882-barwon [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 / 0.649 251 / 1.442 265 / 1.450 521 / 1.588 568 / 1.617
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-4724674-aorere raw neos-4306827-ravan raw neos-4260495-otere raw neos-4295773-pissa raw neos-4805882-barwon raw

Instance Summary

The table below contains summary information for neos-4722843-widden, the five most similar instances to neos-4722843-widden according to the MIC, and the five most similar instances to neos-4722843-widden according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-4722843-widden [MIPLIB] Jeff Linderoth (None provided) 0.000000 -
MIC Top 5 neos-4724674-aorere [MIPLIB] Jeff Linderoth (None provided) 0.649371 1
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. 1.147770 2
gt2 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.170947 3
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 1.172255 4
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. 1.174669 5
MIPLIB Top 5 neos-4724674-aorere [MIPLIB] Jeff Linderoth (None provided) 0.649371 1
neos-4306827-ravan [MIPLIB] Jeff Linderoth (None provided) 1.441714 251
neos-4260495-otere [MIPLIB] Jeff Linderoth (None provided) 1.450246 265
neos-4295773-pissa [MIPLIB] Jeff Linderoth (None provided) 1.588439 521
neos-4805882-barwon [MIPLIB] Jeff Linderoth (None provided) 1.616896 568


neos-4722843-widden: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-30
Assigned Model Group Rank/ISS in the MIC: 111 / 2.569

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: stein Model group: markshare Model group: neos-pseudoapplication-21 Model group: neos-pseudoapplication-74
Name scp stein markshare neos-pseudoapplication-21 neos-pseudoapplication-74
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 / 1.660 2 / 1.674 3 / 1.740 4 / 1.792 5 / 1.819

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-4722843-widden 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 1.659876 1
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.674270 2
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.740420 3
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.791826 4
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.819144 5


Updated August 16, 2019