rail03: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Thomas Schlechte
Description: Track allocation problem modeled as arc coupling problem The problem was solved by CPLEX 12.4. It took approximately 170 hours.
MIPLIB Entry

Parent Instance (rail03)

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

rail03 Raw rail03 Decomposed rail03 Composite of MIC top 5 rail03 Composite of MIPLIB top 5 rail03 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-2328163-agri decomposed 30_70_45_095_100 decomposed blp-ar98 decomposed n2seq36f decomposed supportcase4 decomposed
Name neos-2328163-agri [MIPLIB] 30_70_45_095_100 [MIPLIB] blp-ar98 [MIPLIB] n2seq36f [MIPLIB] supportcase4 [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 / 0.638 2 / 0.654 3 / 0.677 4 / 0.687 5 / 0.824
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-2328163-agri raw 30_70_45_095_100 raw blp-ar98 raw n2seq36f raw supportcase4 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.
rail01 decomposed rail02 decomposed bab6 decomposed neos-780889 decomposed sing17 decomposed
Name rail01 [MIPLIB] rail02 [MIPLIB] bab6 [MIPLIB] neos-780889 [MIPLIB] sing17 [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.
20 / 0.896 49 / 1.113 329 / 1.592 376 / 1.632 417 / 1.685
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
rail01 raw rail02 raw bab6 raw neos-780889 raw sing17 raw

Instance Summary

The table below contains summary information for rail03, the five most similar instances to rail03 according to the MIC, and the five most similar instances to rail03 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance rail03 [MIPLIB] Thomas Schlechte Track allocation problem modeled as arc coupling problem The problem was solved by CPLEX 12.4. It took approximately 170 hours. 0.000000 -
MIC Top 5 neos-2328163-agri [MIPLIB] Jeff Linderoth (None provided) 0.638330 1
30_70_45_095_100 [MIPLIB] J. Walser Geographic radar station allocation 0.653506 2
blp-ar98 [MIPLIB] M. Lübbecke Railway line planning instance 0.677485 3
n2seq36f [MIPLIB] R. Meirich Static line planning models on the Dutch IC network 0.687037 4
supportcase4 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 0.824417 5
MIPLIB Top 5 rail01 [MIPLIB] Thomas Schlechte Track allocation problem modeled as arc coupling problem 0.895941 20
rail02 [MIPLIB] Thomas Schlechte Track allocation problem modeled as arc coupling problem 1.113418 49
bab6 [MIPLIB] Elmar Swarat Vehicle routing with profit and an integrated crew scheduling like bab2 - bab5. Instances differ in multi-commodity-flow formulation (path oder arc formulation) or time discretization and some are quite easy to solve while others (bab2, bab3 and bab6) are very difficult. 1.592023 329
neos-780889 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.631552 376
sing17 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 1.684545 417


rail03: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: rail0
Assigned Model Group Rank/ISS in the MIC: 7 / 1.630

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-36 Model group: neos-pseudoapplication-69 Model group: blp Model group: pr_product Model group: neos-pseudoapplication-7
Name neos-pseudoapplication-36 neos-pseudoapplication-69 blp pr_product neos-pseudoapplication-7
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 / 1.159 2 / 1.281 3 / 1.342 4 / 1.417 5 / 1.441

Model Group Summary

The table below contains summary information for the five most similar model groups to rail03 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-36 Jeff Linderoth (None provided) 1.158610 1
neos-pseudoapplication-69 Jeff Linderoth (None provided) 1.281452 2
blp M. Lübbecke Railway line planning model. 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. 1.341598 3
pr_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.417083 4
neos-pseudoapplication-7 Jeff Linderoth (None provided) 1.440829 5