neos859080: Instance-to-Instance Comparison Results

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

Parent Instance (neos859080)

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

neos859080 Raw neos859080 Decomposed neos859080 Composite of MIC top 5 neos859080 Composite of MIPLIB top 5 neos859080 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.
enlight4 decomposed gr4x6 decomposed enlight11 decomposed markshare_5_0 decomposed enlight_hard decomposed
Name enlight4 [MIPLIB] gr4x6 [MIPLIB] enlight11 [MIPLIB] markshare_5_0 [MIPLIB] enlight_hard [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 / 0.848 2 / 0.862 3 / 0.873 4 / 0.879 5 / 0.881
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
enlight4 raw gr4x6 raw enlight11 raw markshare_5_0 raw enlight_hard 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.
g503inf decomposed gen decomposed milo-v13-4-3d-3-0 decomposed milo-v13-4-3d-4-0 decomposed sp98ir decomposed
Name g503inf [MIPLIB] gen [MIPLIB] milo-v13-4-3d-3-0 [MIPLIB] milo-v13-4-3d-4-0 [MIPLIB] sp98ir [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.
6 / 0.883 134 / 1.140 138 / 1.145 206 / 1.200 801 / 2.030
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
g503inf raw gen raw milo-v13-4-3d-3-0 raw milo-v13-4-3d-4-0 raw sp98ir raw

Instance Summary

The table below contains summary information for neos859080, the five most similar instances to neos859080 according to the MIC, and the five most similar instances to neos859080 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos859080 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 enlight4 [MIPLIB] A. Zymolka Model to solve instance of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 0.847863 1
gr4x6 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.862347 2
enlight11 [MIPLIB] A. Zymolka Model to solve instance of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 0.873008 3
markshare_5_0 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 0.879350 4
enlight_hard [MIPLIB] A. Zymolka Model to solve instance of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 0.880878 5
MIPLIB Top 5 g503inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.883332 6
gen [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.139711 134
milo-v13-4-3d-3-0 [MIPLIB] Tamas Terlaky The models come from structural design optimization where the objective is to minimize the total weight of 2 and 3 dimensional cantilevers. The 2D examples are simpler, and GuRobi can solve the 40_1 and 58_1 instances, while struggles with 75_1. The 3D examples are more challenging. The x_0 and x_1 models are two different modeling of the same identical problems, so their optimal value is the same. The 1_x and 2_x problems are solved by GuRoBi, the 3_x and 4_x are not solved in reasonable time. 1.144529 138
milo-v13-4-3d-4-0 [MIPLIB] Tamas Terlaky The models come from structural design optimization where the objective is to minimize the total weight of 2 and 3 dimensional cantilevers. The 2D examples are simpler, and GuRobi can solve the 40_1 and 58_1 instances, while struggles with 75_1. The 3D examples are more challenging. The x_0 and x_1 models are two different modeling of the same identical problems, so their optimal value is the same. The 1_x and 2_x problems are solved by GuRoBi, the 3_x and 4_x are not solved in reasonable time. 1.199543 206
sp98ir [MIPLIB] J. Goessens, S. v. Hoessel, L. Kroon Railway line planning instance 2.029683 801


neos859080: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-96
Assigned Model Group Rank/ISS in the MIC: 8 / 1.511

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-74 Model group: scp Model group: markshare Model group: neos-pseudoapplication-109 Model group: neos-pseudoapplication-2
Name neos-pseudoapplication-74 scp markshare neos-pseudoapplication-109 neos-pseudoapplication-2
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 / 1.266 2 / 1.305 3 / 1.390 4 / 1.434 5 / 1.484

Model Group Summary

The table below contains summary information for the five most similar model groups to neos859080 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.266066 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 1.305168 2
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.389656 3
neos-pseudoapplication-109 Jeff Linderoth (None provided) 1.433704 4
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.483553 5