comp07-2idx: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Matias Sørensen
Description: Instances comp01-21 of curriculum based course timetabling from the International Timetabling Competition 2007. These are time-assignment models (Stage I of the decomposed model), which are smaller than the full model, but still hard to solve.
MIPLIB Entry

Parent Instance (comp07-2idx)

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

comp07-2idx Raw comp07-2idx Decomposed comp07-2idx Composite of MIC top 5 comp07-2idx Composite of MIPLIB top 5 comp07-2idx 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-4736745-arroux decomposed neos-555424 decomposed neos-1324574 decomposed comp21-2idx decomposed ns1631475 decomposed
Name neos-4736745-arroux [MIPLIB] neos-555424 [MIPLIB] neos-1324574 [MIPLIB] comp21-2idx [MIPLIB] ns1631475 [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 / 0.791 2 / 0.804 3 / 0.828 4 / 0.828 5 / 0.838
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-4736745-arroux raw neos-555424 raw neos-1324574 raw comp21-2idx raw ns1631475 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.
comp21-2idx decomposed comp08-2idx decomposed neos-983171 decomposed neos-935769 decomposed comp12-2idx decomposed
Name comp21-2idx [MIPLIB] comp08-2idx [MIPLIB] neos-983171 [MIPLIB] neos-935769 [MIPLIB] comp12-2idx [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.
4 / 0.828 41 / 1.024 158 / 1.321 193 / 1.396 787 / 2.145
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
comp21-2idx raw comp08-2idx raw neos-983171 raw neos-935769 raw comp12-2idx raw

Instance Summary

The table below contains summary information for comp07-2idx, the five most similar instances to comp07-2idx according to the MIC, and the five most similar instances to comp07-2idx according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance comp07-2idx [MIPLIB] Matias Sørensen Instances comp01-21 of curriculum based course timetabling from the International Timetabling Competition 2007. These are time-assignment models (Stage I of the decomposed model), which are smaller than the full model, but still hard to solve. 0.000000 -
MIC Top 5 neos-4736745-arroux [MIPLIB] Jeff Linderoth (None provided) 0.791331 1
neos-555424 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.804184 2
neos-1324574 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.827663 3
comp21-2idx [MIPLIB] Matias Sørensen Instances comp01-21 of curriculum based course timetabling from the International Timetabling Competition 2007. These are time-assignment models (Stage I of the decomposed model), which are smaller than the full model, but still hard to solve. 0.828141 4
ns1631475 [MIPLIB] NEOS Server Submission Traveling salesman problem model 0.838131 5
MIPLIB Top 5 comp21-2idx [MIPLIB] Matias Sørensen Instances comp01-21 of curriculum based course timetabling from the International Timetabling Competition 2007. These are time-assignment models (Stage I of the decomposed model), which are smaller than the full model, but still hard to solve. 0.828141 4
comp08-2idx [MIPLIB] Matias Sørensen Instances comp01-21 of curriculum based course timetabling from the International Timetabling Competition 2007. These are time-assignment models (Stage I of the decomposed model), which are smaller than the full model, but still hard to solve. 1.023812 41
neos-983171 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.320928 158
neos-935769 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.396487 193
comp12-2idx [MIPLIB] Matias Sørensen Instances comp01-21 of curriculum based course timetabling from the International Timetabling Competition 2007. These are time-assignment models (Stage I of the decomposed model), which are smaller than the full model, but still hard to solve. 2.145382 787


comp07-2idx: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: coursetimetabling
Assigned Model Group Rank/ISS in the MIC: 108 / 2.429

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-99 Model group: neos-pseudoapplication-7 Model group: pr_product Model group: noip Model group: beasley
Name neos-pseudoapplication-99 neos-pseudoapplication-7 pr_product noip beasley
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 / 0.997 2 / 1.115 3 / 1.187 4 / 1.243 5 / 1.244

Model Group Summary

The table below contains summary information for the five most similar model groups to comp07-2idx according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-99 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.997051 1
neos-pseudoapplication-7 Jeff Linderoth (None provided) 1.115355 2
pr_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.187278 3
noip Christopher Hojny integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists 1.243388 4
beasley F. Ortega, L. Wolsey Fixed cost network flow problems 1.243512 5


Updated August 16, 2019