blp-ir98: Instance-to-Instance Comparison Results

Type: Instance
Submitter: M. Lübbecke
Description: Railway line planning instance
MIPLIB Entry

Parent Instance (blp-ir98)

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

blp-ir98 Raw blp-ir98 Decomposed blp-ir98 Composite of MIC top 5 blp-ir98 Composite of MIPLIB top 5 blp-ir98 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.
blp-ic98 decomposed 30_70_45_095_100 decomposed blp-ic97 decomposed neos-3083819-nubu decomposed neos-1324574 decomposed
Name blp-ic98 [MIPLIB] 30_70_45_095_100 [MIPLIB] blp-ic97 [MIPLIB] neos-3083819-nubu [MIPLIB] neos-1324574 [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 / 0.501 2 / 0.603 3 / 0.613 4 / 0.648 5 / 0.666
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
blp-ic98 raw 30_70_45_095_100 raw blp-ic97 raw neos-3083819-nubu raw neos-1324574 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.
blp-ic98 decomposed blp-ic97 decomposed blp-ar98 decomposed neos-3116779-oban decomposed neos-4409277-trave decomposed
Name blp-ic98 [MIPLIB] blp-ic97 [MIPLIB] blp-ar98 [MIPLIB] neos-3116779-oban [MIPLIB] neos-4409277-trave [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 / 0.501 3 / 0.613 9 / 0.748 40 / 0.993 547 / 1.802
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
blp-ic98 raw blp-ic97 raw blp-ar98 raw neos-3116779-oban raw neos-4409277-trave raw

Instance Summary

The table below contains summary information for blp-ir98, the five most similar instances to blp-ir98 according to the MIC, and the five most similar instances to blp-ir98 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance blp-ir98 [MIPLIB] M. Lübbecke Railway line planning instance 0.000000 -
MIC Top 5 blp-ic98 [MIPLIB] M. Lübbecke Railway line planning instance 0.500626 1
30_70_45_095_100 [MIPLIB] J. Walser Geographic radar station allocation 0.602679 2
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. 0.612792 3
neos-3083819-nubu [MIPLIB] Jeff Linderoth (None provided) 0.647577 4
neos-1324574 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.665808 5
MIPLIB Top 5 blp-ic98 [MIPLIB] M. Lübbecke Railway line planning instance 0.500626 1
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. 0.612792 3
blp-ar98 [MIPLIB] M. Lübbecke Railway line planning instance 0.748055 9
neos-3116779-oban [MIPLIB] Jeff Linderoth (None provided) 0.992615 40
neos-4409277-trave [MIPLIB] Jeff Linderoth Reported solved by ParaSCIP in 441575 seconds using 71 solvers (72 cores). 1.801579 547


blp-ir98: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: blp
Assigned Model Group Rank/ISS in the MIC: 6 / 1.458

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: pr_product Model group: neos-pseudoapplication-7 Model group: nxy-z Model group: neos-pseudoapplication-36
Name neos-pseudoapplication-99 pr_product neos-pseudoapplication-7 nxy-z neos-pseudoapplication-36
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 / 0.819 2 / 0.821 3 / 1.119 4 / 1.436 5 / 1.444

Model Group Summary

The table below contains summary information for the five most similar model groups to blp-ir98 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-99 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.819128 1
pr_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.820575 2
neos-pseudoapplication-7 Jeff Linderoth (None provided) 1.119478 3
nxy-z A. Atamtürk Capacitated network design problem 1.435818 4
neos-pseudoapplication-36 Jeff Linderoth (None provided) 1.443742 5


Updated August 16, 2019