comp08-2idx: 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 (comp08-2idx)

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

comp08-2idx Raw comp08-2idx Decomposed comp08-2idx Composite of MIC top 5 comp08-2idx Composite of MIPLIB top 5 comp08-2idx 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.
net12 decomposed n6-3 decomposed n7-3 decomposed neos-555884 decomposed n13-3 decomposed
Name net12 [MIPLIB] n6-3 [MIPLIB] n7-3 [MIPLIB] neos-555884 [MIPLIB] n13-3 [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 / 0.440 2 / 0.462 3 / 0.479 4 / 0.517 5 / 0.520
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
net12 raw n6-3 raw n7-3 raw neos-555884 raw n13-3 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.
gus-sch decomposed comp07-2idx decomposed comp21-2idx decomposed neos-983171 decomposed comp12-2idx decomposed
Name gus-sch [MIPLIB] comp07-2idx [MIPLIB] comp21-2idx [MIPLIB] neos-983171 [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.
8 / 0.540 176 / 1.024 315 / 1.340 415 / 1.467 726 / 1.917
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
gus-sch raw comp07-2idx raw comp21-2idx raw neos-983171 raw comp12-2idx raw

Instance Summary

The table below contains summary information for comp08-2idx, the five most similar instances to comp08-2idx according to the MIC, and the five most similar instances to comp08-2idx according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance 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. 0.000000 -
MIC Top 5 net12 [MIPLIB] P. Belotti Network design instance 0.439852 1
n6-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.461561 2
n7-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.478520 3
neos-555884 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.517370 4
n13-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.520482 5
MIPLIB Top 5 gus-sch [MIPLIB] Alexandra M. Newman course scheduling model 0.540208 8
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. 1.023812 176
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. 1.339925 315
neos-983171 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.467071 415
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. 1.916639 726


comp08-2idx: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: coursetimetabling
Assigned Model Group Rank/ISS in the MIC: 133 / 2.719

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: aflow Model group: beasley Model group: ab Model group: neos-pseudoapplication-2 Model group: noip
Name aflow beasley ab neos-pseudoapplication-2 noip
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 / 0.798 3 / 0.872 4 / 0.914 5 / 0.929

Model Group Summary

The table below contains summary information for the five most similar model groups to comp08-2idx according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 aflow T. Achterberg Arborescence flow problem on a graph with 40 nodes and edge density 0.9 0.708266 1
beasley F. Ortega, L. Wolsey Fixed cost network flow problems 0.798073 2
ab MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.872122 3
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.914366 4
noip Christopher Hojny integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists 0.928714 5