30_70_45_095_100: Instance-to-Instance Comparison Results

Type: Instance
Submitter: J. Walser
Description: Geographic radar station allocation
MIPLIB Entry

Parent Instance (30_70_45_095_100)

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

30_70_45_095_100 Raw 30_70_45_095_100 Decomposed 30_70_45_095_100 Composite of MIC top 5 30_70_45_095_100 Composite of MIPLIB top 5 30_70_45_095_100 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-ir98 decomposed blp-ar98 decomposed rail03 decomposed blp-ic98 decomposed p500x2988d decomposed
Name blp-ir98 [MIPLIB] blp-ar98 [MIPLIB] rail03 [MIPLIB] blp-ic98 [MIPLIB] p500x2988d [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 / 0.603 2 / 0.604 3 / 0.654 4 / 0.671 5 / 0.704
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
blp-ir98 raw blp-ar98 raw rail03 raw blp-ic98 raw p500x2988d 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.
comp07-2idx decomposed comp08-2idx decomposed supportcase40 decomposed 30_70_45_095_98 decomposed 30_70_45_05_100 decomposed
Name comp07-2idx [MIPLIB] comp08-2idx [MIPLIB] supportcase40 [MIPLIB] 30_70_45_095_98 [MIPLIB] 30_70_45_05_100 [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.
31 / 0.973 108 / 1.250 454 / 1.703 894 / 2.487 896 / 2.505
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
comp07-2idx raw comp08-2idx raw supportcase40 raw 30_70_45_095_98 raw 30_70_45_05_100 raw

Instance Summary

The table below contains summary information for 30_70_45_095_100, the five most similar instances to 30_70_45_095_100 according to the MIC, and the five most similar instances to 30_70_45_095_100 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance 30_70_45_095_100 [MIPLIB] J. Walser Geographic radar station allocation 0.000000 -
MIC Top 5 blp-ir98 [MIPLIB] M. Lübbecke Railway line planning instance 0.602679 1
blp-ar98 [MIPLIB] M. Lübbecke Railway line planning instance 0.603573 2
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. 0.653506 3
blp-ic98 [MIPLIB] M. Lübbecke Railway line planning instance 0.671283 4
p500x2988d [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.704397 5
MIPLIB Top 5 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. 0.972856 31
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. 1.250293 108
supportcase40 [MIPLIB] Domenico Salvagnin Instance coming from IBM developerWorks forum with unknown application. 1.703380 454
30_70_45_095_98 [MIPLIB] J. Walser Geographic radar station allocation 2.486622 894
30_70_45_05_100 [MIPLIB] J. Walser Geographic radar station allocation 2.504707 896


30_70_45_095_100: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: 30_70
Assigned Model Group Rank/ISS in the MIC: 177 / 3.127

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: pr_product Model group: neos-pseudoapplication-36 Model group: neos-pseudoapplication-99 Model group: blp Model group: neos-pseudoapplication-7
Name pr_product neos-pseudoapplication-36 neos-pseudoapplication-99 blp 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 / 0.857 2 / 1.119 3 / 1.141 4 / 1.181 5 / 1.343

Model Group Summary

The table below contains summary information for the five most similar model groups to 30_70_45_095_100 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 pr_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.856917 1
neos-pseudoapplication-36 Jeff Linderoth (None provided) 1.119020 2
neos-pseudoapplication-99 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.141421 3
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. 1.181264 4
neos-pseudoapplication-7 Jeff Linderoth (None provided) 1.343431 5