moj-mining: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Alexandra M. Newman
Description: open pit mine production scheduling problem with inventory
MIPLIB Entry

Parent Instance (moj-mining)

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

moj-mining Raw moj-mining Decomposed moj-mining Composite of MIC top 5 moj-mining Composite of MIPLIB top 5 moj-mining 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-2987310-joes decomposed neos-1367061 decomposed neos-3025225-shelon decomposed ns1828997 decomposed scpm1 decomposed
Name neos-2987310-joes [MIPLIB] neos-1367061 [MIPLIB] neos-3025225-shelon [MIPLIB] ns1828997 [MIPLIB] scpm1 [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 / 0.708 2 / 1.096 3 / 1.119 4 / 1.146 5 / 1.182
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-2987310-joes raw neos-1367061 raw neos-3025225-shelon raw ns1828997 raw scpm1 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-2987310-joes decomposed neos-2987202-jeir decomposed gasprod1-1 decomposed gasprod2-1 decomposed gasprod2-2 decomposed
Name neos-2987310-joes [MIPLIB] neos-2987202-jeir [MIPLIB] gasprod1-1 [MIPLIB] gasprod2-1 [MIPLIB] gasprod2-2 [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 / 0.708 18 / 1.291 899 / 2.348 916 / 2.450 920 / 2.460
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-2987310-joes raw neos-2987202-jeir raw gasprod1-1 raw gasprod2-1 raw gasprod2-2 raw

Instance Summary

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

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance moj-mining [MIPLIB] Alexandra M. Newman open pit mine production scheduling problem with inventory 0.000000 -
MIC Top 5 neos-2987310-joes [MIPLIB] Jeff Linderoth (None provided) 0.707658 1
neos-1367061 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.096190 2
neos-3025225-shelon [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 1.118708 3
ns1828997 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application. 1.145886 4
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 1.181586 5
MIPLIB Top 5 neos-2987310-joes [MIPLIB] Jeff Linderoth (None provided) 0.707658 1
neos-2987202-jeir [MIPLIB] Jeff Linderoth (None provided) 1.290699 18
gasprod1-1 [MIPLIB] Andrew Stamps Production planning model for an industrial gas process. Three instances of the model included. 2.348096 899
gasprod2-1 [MIPLIB] Andrew Stamps Production planning model of a second industrial gas system. Two model instances included. 2.450042 916
gasprod2-2 [MIPLIB] Andrew Stamps Production planning model of a second industrial gas system. Two model instances included. 2.460406 920


moj-mining: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: no model group assignment
Assigned Model Group Rank/ISS in the MIC: N.A. / N.A.

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 / 1.521 2 / 1.619 3 / 1.745 4 / 1.746 5 / 1.830

Model Group Summary

The table below contains summary information for the five most similar model groups to moj-mining 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 1.521428 1
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.618568 2
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.745498 3
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.745718 4
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.830301 5


Updated August 16, 2019