neos8: Instance-to-Instance Comparison Results

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

Parent Instance (neos8)

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

neos8 Raw neos8 Decomposed neos8 Composite of MIC top 5 neos8 Composite of MIPLIB top 5 neos8 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.
supportcase43 decomposed gt2 decomposed ns930473 decomposed neos-633273 decomposed neos-4532248-waihi decomposed
Name supportcase43 [MIPLIB] gt2 [MIPLIB] ns930473 [MIPLIB] neos-633273 [MIPLIB] neos-4532248-waihi [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 / 0.901 2 / 0.963 3 / 0.992 4 / 0.992 5 / 1.007
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
supportcase43 raw gt2 raw ns930473 raw neos-633273 raw neos-4532248-waihi 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-555343 decomposed decomp2 decomposed decomp1 decomposed neos-555424 decomposed neos-738098 decomposed
Name neos-555343 [MIPLIB] decomp2 [MIPLIB] decomp1 [MIPLIB] neos-555424 [MIPLIB] neos-738098 [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.
446 / 1.512 513 / 1.562 525 / 1.568 542 / 1.585 759 / 1.910
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-555343 raw decomp2 raw decomp1 raw neos-555424 raw neos-738098 raw

Instance Summary

The table below contains summary information for neos8, the five most similar instances to neos8 according to the MIC, and the five most similar instances to neos8 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos8 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 supportcase43 [MIPLIB] Domenico Salvagnin Instance coming from IBM developerWorks forum with unknown application. 0.901424 1
gt2 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.962602 2
ns930473 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.992100 3
neos-633273 [MIPLIB] NEOS Server Submission Collection of anonymous submissions to the NEOS Server for Optimization 0.992257 4
neos-4532248-waihi [MIPLIB] Jeff Linderoth (None provided) 1.006804 5
MIPLIB Top 5 neos-555343 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.512104 446
decomp2 [MIPLIB] Martin Berger Finds special structures in MIPs. 1.562036 513
decomp1 [MIPLIB] Martin Berger Finds special structures in MIPs. 1.568151 525
neos-555424 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.585409 542
neos-738098 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.909882 759


neos8: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-15
Assigned Model Group Rank/ISS in the MIC: 184 / 3.303

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: proteindesign Model group: neos-pseudoapplication-74 Model group: markshare Model group: stein
Name scp proteindesign neos-pseudoapplication-74 markshare stein
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 / 1.615 2 / 1.679 3 / 1.694 4 / 1.706 5 / 1.780

Model Group Summary

The table below contains summary information for the five most similar model groups to neos8 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 1.614543 1
proteindesign Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 1.679494 2
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.694442 3
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.705953 4
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.779559 5