triptim4: Instance-to-Instance Comparison Results

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

Parent Instance (triptim4)

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

triptim4 Raw triptim4 Decomposed triptim4 Composite of MIC top 5 triptim4 Composite of MIPLIB top 5 triptim4 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.
triptim1 decomposed triptim2 decomposed gen-ip016 decomposed supportcase21i decomposed gen-ip021 decomposed
Name triptim1 [MIPLIB] triptim2 [MIPLIB] gen-ip016 [MIPLIB] supportcase21i [MIPLIB] gen-ip021 [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 / 0.515 2 / 0.683 3 / 1.333 4 / 1.340 5 / 1.375
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
triptim1 raw triptim2 raw gen-ip016 raw supportcase21i raw gen-ip021 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.
triptim1 decomposed triptim2 decomposed triptim8 decomposed supportcase34 decomposed triptim7 decomposed
Name triptim1 [MIPLIB] triptim2 [MIPLIB] triptim8 [MIPLIB] supportcase34 [MIPLIB] triptim7* [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 / 0.515 2 / 0.683 16 / 1.472 137 / 1.773 16* / 1.472*
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
triptim1 raw triptim2 raw triptim8 raw supportcase34 raw triptim7 raw

Instance Summary

The table below contains summary information for triptim4, the five most similar instances to triptim4 according to the MIC, and the five most similar instances to triptim4 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance triptim4 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 triptim1 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.515407 1
triptim2 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.683288 2
gen-ip016 [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. Solved with XPRESS in a few seconds. 1.332812 3
supportcase21i [MIPLIB] Michael Winkler MIP with Indicator instances collected from Gurobi forum with unknown application 1.340118 4
gen-ip021 [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. 1.374808 5
MIPLIB Top 5 triptim1 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.515407 1
triptim2 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.683288 2
triptim8 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.472187 16
supportcase34 [MIPLIB] Domenico Salvagnin Instance coming from IBM developerWorks forum with unknown application. 1.772541 137
triptim7* [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.472187* 16*


triptim4: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: triptim
Assigned Model Group Rank/ISS in the MIC: 3 / 1.819

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: neos-pseudoapplication-21 Model group: scp Model group: triptim Model group: stein Model group: markshare
Name neos-pseudoapplication-21 scp triptim stein 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 / 1.776 2 / 1.788 3 / 1.819 4 / 1.857 5 / 1.906

Model Group Summary

The table below contains summary information for the five most similar model groups to triptim4 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.776364 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 1.788323 2
triptim MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.819207 3
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.856601 4
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.905862 5


* triptim7 is a duplicate of triptim8.

Updated August 16, 2019