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pigeon-08: Instance-to-Instance Comparison Results
Type: | Instance |
Submitter: | Sam Allen |
Description: | Instance of 3D packing (container loading) problem |
MIPLIB Entry |
Parent Instance (pigeon-08)
All other instances below were be compared against this "query" instance.![]() ![]() |
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Raw
This is the CCM image before the decomposition procedure has been applied.
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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.
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Composite of MIC Top 5
Composite of the five decomposed CCM images from the MIC Top 5.
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Composite of MIPLIB Top 5
Composite of the five decomposed CCM images from the MIPLIB Top 5.
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Model Group Composite Image
Composite of the decomposed CCM images for every instance in the same model group as this query.
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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.
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Name | pigeon-10 [MIPLIB] | pigeon-13 [MIPLIB] | pigeon-16 [MIPLIB] | neos-935769 [MIPLIB] | bg512142 [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.
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1 / 0.567 | 2 / 0.816 | 3 / 1.040 | 4 / 1.059 | 5 / 1.068 | |
Raw
These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
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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.
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Name | pigeon-10 [MIPLIB] | pigeon-13 [MIPLIB] | pigeon-16 [MIPLIB] | pigeon-20 [MIPLIB] | supportcase41 [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.
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1 / 0.567 | 2 / 0.816 | 3 / 1.040 | 14 / 1.162 | 788 / 1.860 | |
Raw
These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
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Instance Summary
The table below contains summary information for pigeon-08, the five most similar instances to pigeon-08 according to the MIC, and the five most similar instances to pigeon-08 according to MIPLIB 2017.
INSTANCE | SUBMITTER | DESCRIPTION | ISS | RANK | |
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Parent Instance | pigeon-08 [MIPLIB] | Sam Allen | Instance of 3D packing (container loading) problem | 0.000000 | - |
MIC Top 5 | pigeon-10 [MIPLIB] | Sam Allen | Instance of 3D packing (container loading) problem | 0.566632 | 1 |
pigeon-13 [MIPLIB] | Sam Allen | Instance of 3D packing (container loading) problem. The problem was solved by the Gurobi Optimizer version 5.0.1. It took approximately 22 hours. | 0.816214 | 2 | |
pigeon-16 [MIPLIB] | Sam Allen | Instance of 3D packing (container loading) problem | 1.039860 | 3 | |
neos-935769 [MIPLIB] | NEOS Server Submission | Instance coming from the NEOS Server with unknown application | 1.059224 | 4 | |
bg512142 [MIPLIB] | A. Miller | Multilevel lot-sizing instance. | 1.067536 | 5 | |
MIPLIB Top 5 | pigeon-10 [MIPLIB] | Sam Allen | Instance of 3D packing (container loading) problem | 0.566632 | 1 |
pigeon-13 [MIPLIB] | Sam Allen | Instance of 3D packing (container loading) problem. The problem was solved by the Gurobi Optimizer version 5.0.1. It took approximately 22 hours. | 0.816214 | 2 | |
pigeon-16 [MIPLIB] | Sam Allen | Instance of 3D packing (container loading) problem | 1.039860 | 3 | |
pigeon-20 [MIPLIB] | Sam Allen | Instance of 3D packing (container loading) problem | 1.161742 | 14 | |
supportcase41 [MIPLIB] | Domenico Salvagnin | Instance coming from IBM developerWorks forum with unknown application. | 1.860337 | 788 |
pigeon-08: Instance-to-Model Comparison Results
Model Group Assignment from MIPLIB: | pigeon |
Assigned Model Group Rank/ISS in the MIC: | 42 / 1.991 |
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.
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Name | timtab | neos-pseudoapplication-40 | scp | neos-pseudoapplication-74 | neos-pseudoapplication-21 | |
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.
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1 / 1.433 | 2 / 1.525 | 3 / 1.541 | 4 / 1.560 | 5 / 1.609 |
Model Group Summary
The table below contains summary information for the five most similar model groups to pigeon-08 according to the MIC.
MODEL GROUP | SUBMITTER | DESCRIPTION | ISS | RANK | |
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MIC Top 5 | timtab | C. Liebchen, R. Möhring | Public transport scheduling problem | 1.433460 | 1 |
neos-pseudoapplication-40 | Jeff Linderoth | (None provided) | 1.524729 | 2 | |
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 | 1.540734 | 3 | |
neos-pseudoapplication-74 | Jeff Linderoth | (None provided) | 1.560291 | 4 | |
neos-pseudoapplication-21 | NEOS Server Submission | Imported from the MIPLIB2010 submissions. | 1.608645 | 5 |