gus-sch: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Alexandra M. Newman
Description: course scheduling model
MIPLIB Entry

Parent Instance (gus-sch)

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

gus-sch Raw gus-sch Decomposed gus-sch Composite of MIC top 5 gus-sch Composite of MIPLIB top 5 gus-sch 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.
nu120-pr12 decomposed nu4-pr9 decomposed ns4-pr6 decomposed aflow40b decomposed neos-827175 decomposed
Name nu120-pr12 [MIPLIB] nu4-pr9 [MIPLIB] ns4-pr6 [MIPLIB] aflow40b [MIPLIB] neos-827175 [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 / 0.347 2 / 0.353 3 / 0.360 4 / 0.375 5 / 0.382
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
nu120-pr12 raw nu4-pr9 raw ns4-pr6 raw aflow40b raw neos-827175 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.
mkc decomposed comp08-2idx decomposed neos-555343 decomposed qiu decomposed sct5 decomposed
Name mkc [MIPLIB] comp08-2idx [MIPLIB] neos-555343 [MIPLIB] qiu [MIPLIB] sct5 [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.
34 / 0.496 49 / 0.540 66 / 0.603 216 / 1.088 273 / 1.209
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
mkc raw comp08-2idx raw neos-555343 raw qiu raw sct5 raw

Instance Summary

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

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance gus-sch [MIPLIB] Alexandra M. Newman course scheduling model 0.000000 -
MIC Top 5 nu120-pr12 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.346579 1
nu4-pr9 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.353225 2
ns4-pr6 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.359659 3
aflow40b [MIPLIB] T. Achterberg Arborescence flow problem on a graph with 40 nodes and edge density 0.9 0.375131 4
neos-827175 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.382480 5
MIPLIB Top 5 mkc [MIPLIB] J. Kalagnanam, M. Dawande Multiple knapsack problem with color constraints. John Forrest, Laszlo Ladanyi and Jayant Kalagnanam solved this instance by reformulation in 1999. 0.495574 34
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. 0.540208 49
neos-555343 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.602589 66
qiu [MIPLIB] Y. Chiu, J. Eckstein Fiber-optic network design, logical SONET ring level 1.088197 216
sct5 [MIPLIB] Siemens Assembly line balancing for printed circuit board production 1.208793 273


gus-sch: 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: nus-prxy Model group: aflow Model group: neos-pseudoapplication-60 Model group: ab Model group: radiation
Name nus-prxy aflow neos-pseudoapplication-60 ab radiation
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 / 0.608 2 / 0.937 3 / 0.946 4 / 0.984 5 / 0.997

Model Group Summary

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

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 nus-prxy MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.607610 1
aflow T. Achterberg Arborescence flow problem on a graph with 40 nodes and edge density 0.9 0.936546 2
neos-pseudoapplication-60 NEOS Server Submission Model coming from the NEOS Server with unknown application 0.945797 3
ab MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.984284 4
radiation Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 0.997193 5