pigeon-10: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Sam Allen
Description: Instance of 3D packing (container loading) problem
MIPLIB Entry

Parent Instance (pigeon-10)

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

pigeon-10 Raw pigeon-10 Decomposed pigeon-10 Composite of MIC top 5 pigeon-10 Composite of MIPLIB top 5 pigeon-10 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.
pigeon-08 decomposed pigeon-13 decomposed pigeon-16 decomposed pigeon-20 decomposed bg512142 decomposed
Name pigeon-08 [MIPLIB] pigeon-13 [MIPLIB] pigeon-16 [MIPLIB] pigeon-20 [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.
1 / 0.567 2 / 0.567 3 / 0.811 4 / 1.007 5 / 1.137
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
pigeon-08 raw pigeon-13 raw pigeon-16 raw pigeon-20 raw bg512142 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.
pigeon-08 decomposed pigeon-13 decomposed pigeon-16 decomposed pigeon-20 decomposed supportcase41 decomposed
Name pigeon-08 [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.
1 / 0.567 2 / 0.567 3 / 0.811 4 / 1.007 786 / 1.892
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
pigeon-08 raw pigeon-13 raw pigeon-16 raw pigeon-20 raw supportcase41 raw

Instance Summary

The table below contains summary information for pigeon-10, the five most similar instances to pigeon-10 according to the MIC, and the five most similar instances to pigeon-10 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance pigeon-10 [MIPLIB] Sam Allen Instance of 3D packing (container loading) problem 0.000000 -
MIC Top 5 pigeon-08 [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. 0.566822 2
pigeon-16 [MIPLIB] Sam Allen Instance of 3D packing (container loading) problem 0.811250 3
pigeon-20 [MIPLIB] Sam Allen Instance of 3D packing (container loading) problem 1.006586 4
bg512142 [MIPLIB] A. Miller Multilevel lot-sizing instance. 1.136875 5
MIPLIB Top 5 pigeon-08 [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. 0.566822 2
pigeon-16 [MIPLIB] Sam Allen Instance of 3D packing (container loading) problem 0.811250 3
pigeon-20 [MIPLIB] Sam Allen Instance of 3D packing (container loading) problem 1.006586 4
supportcase41 [MIPLIB] Domenico Salvagnin Instance coming from IBM developerWorks forum with unknown application. 1.892415 786


pigeon-10: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: pigeon
Assigned Model Group Rank/ISS in the MIC: 12 / 1.773

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-40 Model group: timtab Model group: scp Model group: neos-pseudoapplication-1 Model group: neos-pseudoapplication-21
Name neos-pseudoapplication-40 timtab scp neos-pseudoapplication-1 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.
1 / 1.507 2 / 1.530 3 / 1.643 4 / 1.664 5 / 1.664

Model Group Summary

The table below contains summary information for the five most similar model groups to pigeon-10 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-40 Jeff Linderoth (None provided) 1.506799 1
timtab C. Liebchen, R. Möhring Public transport scheduling problem 1.529707 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 1.642858 3
neos-pseudoapplication-1 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.664202 4
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.664370 5