leo2: Instance-to-Instance Comparison Results

Type: Instance
Submitter: COR@L test set
Description: Instance coming from the COR@L test set with unknown origin
MIPLIB Entry

Parent Instance (leo2)

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

leo2 Raw leo2 Decomposed leo2 Composite of MIC top 5 leo2 Composite of MIPLIB top 5 leo2 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.
leo1 decomposed sp98ic decomposed neos-4984115-canche decomposed neos-5018451-chiese decomposed sp97ar decomposed
Name leo1 [MIPLIB] sp98ic [MIPLIB] neos-4984115-canche [MIPLIB] neos-5018451-chiese [MIPLIB] sp97ar [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 / 0.392 2 / 0.609 3 / 0.738 4 / 0.806 5 / 0.821
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
leo1 raw sp98ic raw neos-4984115-canche raw neos-5018451-chiese raw sp97ar 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.
leo1 decomposed blp-ar98 decomposed blp-ir98 decomposed blp-ic98 decomposed blp-ic97 decomposed
Name leo1 [MIPLIB] blp-ar98 [MIPLIB] blp-ir98 [MIPLIB] blp-ic98 [MIPLIB] blp-ic97 [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 / 0.392 13 / 1.095 52 / 1.432 80 / 1.540 115 / 1.690
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
leo1 raw blp-ar98 raw blp-ir98 raw blp-ic98 raw blp-ic97 raw

Instance Summary

The table below contains summary information for leo2, the five most similar instances to leo2 according to the MIC, and the five most similar instances to leo2 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance leo2 [MIPLIB] COR@L test set Instance coming from the COR@L test set with unknown origin 0.000000 -
MIC Top 5 leo1 [MIPLIB] COR@L test set Instance coming from the COR@L test set with unknown origin 0.392427 1
sp98ic [MIPLIB] J. Goessens, S. v. Hoessel, L. Kroon Railway line planning instance 0.609235 2
neos-4984115-canche [MIPLIB] Jeff Linderoth (None provided) 0.738443 3
neos-5018451-chiese [MIPLIB] Jeff Linderoth (None provided) 0.805943 4
sp97ar [MIPLIB] J. Goessens, S. v. Hoessel, L. Kroon Railway line planning instance. Solved with Gurobi 4.5.1 on a 12-core Linux system in 2678.77 sec. 0.821293 5
MIPLIB Top 5 leo1 [MIPLIB] COR@L test set Instance coming from the COR@L test set with unknown origin 0.392427 1
blp-ar98 [MIPLIB] M. Lübbecke Railway line planning instance 1.095292 13
blp-ir98 [MIPLIB] M. Lübbecke Railway line planning instance 1.431992 52
blp-ic98 [MIPLIB] M. Lübbecke Railway line planning instance 1.540439 80
blp-ic97 [MIPLIB] M. Lübbecke Railway line planning instance. Solved using CPLEX 12.3 (12 threads) on an Intel Xeon X5650 @ 2.67GHz, 12MB cache, 24GB RAM in 4947.5 sec.\xa0Solved using Gurobi 4.6.1 (12 threads) in 1867.9 sec. 1.690382 115


leo2: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: no model group assignment
Assigned Model Group Rank/ISS in the MIC: N.A. / N.A.

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-69 Model group: neos-pseudoapplication-85 Model group: rail0 Model group: chromaticindex Model group: neos-pseudoapplication-24
Name neos-pseudoapplication-69 neos-pseudoapplication-85 rail0 chromaticindex neos-pseudoapplication-24
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 / 1.379 2 / 1.408 3 / 1.436 4 / 1.438 5 / 1.439

Model Group Summary

The table below contains summary information for the five most similar model groups to leo2 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-69 Jeff Linderoth (None provided) 1.378621 1
neos-pseudoapplication-85 Jeff Linderoth (None provided) 1.407824 2
rail0 Thomas Schlechte Track allocation problem modeled as arc coupling problem The problem was solved by CPLEX 12.4. It took approximately 170 hours. 1.435642 3
chromaticindex Pierre Le Bodic Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees. 1.437775 4
neos-pseudoapplication-24 Jeff Linderoth (None provided) 1.439360 5