h80x6320d: Instance-to-Instance Comparison Results

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

Parent Instance (h80x6320d)

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

h80x6320d Raw h80x6320d Decomposed h80x6320d Composite of MIC top 5 h80x6320d Composite of MIPLIB top 5 h80x6320d 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.
h50x2450 decomposed neos-1112787 decomposed neos-1112782 decomposed neos-873061 decomposed neos-872648 decomposed
Name h50x2450 [MIPLIB] neos-1112787 [MIPLIB] neos-1112782 [MIPLIB] neos-873061 [MIPLIB] neos-872648 [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 / 0.432 2 / 0.679 3 / 0.679 4 / 0.783 5 / 0.784
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
h50x2450 raw neos-1112787 raw neos-1112782 raw neos-873061 raw neos-872648 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.
h50x2450 decomposed n3707 decomposed n370b decomposed n3700 decomposed n3709 decomposed
Name h50x2450 [MIPLIB] n3707 [MIPLIB] n370b* [MIPLIB] n3700* [MIPLIB] n3709* [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 / 0.432 178 / 1.296 178* / 1.296* 178* / 1.296* 178* / 1.296*
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
h50x2450 raw n3707 raw n370b raw n3700 raw n3709 raw

Instance Summary

The table below contains summary information for h80x6320d, the five most similar instances to h80x6320d according to the MIC, and the five most similar instances to h80x6320d according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance h80x6320d [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 h50x2450 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.431590 1
neos-1112787 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.678653 2
neos-1112782 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.679187 3
neos-873061 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.782702 4
neos-872648 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.783608 5
MIPLIB Top 5 h50x2450 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.431590 1
n3707 [MIPLIB] J. Aronson Fixed charge transportation problem 1.295866 178
n370b* [MIPLIB] J. Aronson Fixed charge transportation problem 1.295866* 178*
n3700* [MIPLIB] J. Aronson Fixed charge transportation problem 1.295866* 178*
n3709* [MIPLIB] J. Aronson Fixed charge transportation problem 1.295866* 178*


h80x6320d: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: fixed-cost-network-flow
Assigned Model Group Rank/ISS in the MIC: 13 / 1.757

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-89 Model group: drayage Model group: neos-pseudoapplication-74 Model group: scp Model group: square
Name neos-pseudoapplication-89 drayage neos-pseudoapplication-74 scp square
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 / 0.778 2 / 1.476 3 / 1.491 4 / 1.525 5 / 1.570

Model Group Summary

The table below contains summary information for the five most similar model groups to h80x6320d according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-89 NEOS Server Submission Model coming from the NEOS Server with unknown application 0.777522 1
drayage F. Jordan Srour The .rar file contains three folders: 1) R_mps with all of the models (165, organized into 5 groups R0_, R25_, R50_, R75_, and R100_*), 2) results_and_runtimes with datafiles on the runtime and results, and 3) doc with documentation on the models in the form of a pdf. 1.475815 2
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.491402 3
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 1.525493 4
square Sascha Kurz Squaring the square For a given integer n, determine the minimum number of squares in a tiling of an \\(n\\times n\\) square using using only integer sided squares of smaller size. (Although the models get quite large even for moderate n, they can be solved to optimality for all \\(n \\le 61\\), while challenging the MIP solver, especially the presolver.) 1.569649 5


* n370b is a duplicate of n3707. n3700 is a duplicate of n3707. n3709 is a duplicate of n3707.