ivu52: Instance-to-Instance Comparison Results

Type: Instance
Submitter: S. Weider
Description: Set partitioning instance resulting from a column generation algorithm used for duty scheduling in public transportation. Solved in June 2014 using CPLEX 12.6 with 48 threads in about 25 days.
MIPLIB Entry

Parent Instance (ivu52)

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

ivu52 Raw ivu52 Decomposed ivu52 Composite of MIC top 5 ivu52 Composite of MIPLIB top 5 ivu52 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.
ex9 decomposed ex10 decomposed sorrell3 decomposed ds-big decomposed sorrell7 decomposed
Name ex9 [MIPLIB] ex10 [MIPLIB] sorrell3 [MIPLIB] ds-big [MIPLIB] sorrell7 [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 / 1.107 2 / 1.139 3 / 1.173 4 / 1.201 5 / 1.212
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
ex9 raw ex10 raw sorrell3 raw ds-big raw sorrell7 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.
rvb-sub decomposed square23 decomposed square41 decomposed square31 decomposed square37 decomposed
Name rvb-sub [MIPLIB] square23 [MIPLIB] square41 [MIPLIB] square31 [MIPLIB] square37 [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.
22 / 1.757 922 / 4.446 957 / 4.490 959 / 4.492 960 / 4.492
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
rvb-sub raw square23 raw square41 raw square31 raw square37 raw

Instance Summary

The table below contains summary information for ivu52, the five most similar instances to ivu52 according to the MIC, and the five most similar instances to ivu52 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance ivu52 [MIPLIB] S. Weider Set partitioning instance resulting from a column generation algorithm used for duty scheduling in public transportation. Solved in June 2014 using CPLEX 12.6 with 48 threads in about 25 days. 0.000000 -
MIC Top 5 ex9 [MIPLIB] Iulian Ober Formulations of Boolean SAT instance 1.107487 1
ex10 [MIPLIB] Iulian Ober Formulations of Boolean SAT instance 1.139220 2
sorrell3 [MIPLIB] Toni Sorrell These instances are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 1.173140 3
ds-big [MIPLIB] Steffen Weider Bus driver duty scheduling problem 1.200943 4
sorrell7 [MIPLIB] Toni Sorrell These instances are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 1.212419 5
MIPLIB Top 5 rvb-sub [MIPLIB] S. Weider Set partitioning instance resulting from a column generation algorithm used for duty scheduling in public transportation 1.756870 22
square23 [MIPLIB] Sascha Kurz Squaring the square For a given integer n, determine the minimum number of squares in a tiling of an \\(n\\times n\\) square using using only integer sided squares of smaller size. (Although the models get quite large even for moderate n, they can be solved to optimality for all \\(n \\le 61\\), while challenging the MIP solver, especially the presolver.) 4.446315 922
square41 [MIPLIB] Sascha Kurz Squaring the square For a given integer n, determine the minimum number of squares in a tiling of an \\(n\\times n\\) square using using only integer sided squares of smaller size. (Although the models get quite large even for moderate n, they can be solved to optimality for all \\(n \\le 61\\), while challenging the MIP solver, especially the presolver.) 4.490234 957
square31 [MIPLIB] Sascha Kurz Squaring the square For a given integer n, determine the minimum number of squares in a tiling of an \\(n\\times n\\) square using using only integer sided squares of smaller size. (Although the models get quite large even for moderate n, they can be solved to optimality for all \\(n \\le 61\\), while challenging the MIP solver, especially the presolver.) 4.491994 959
square37 [MIPLIB] Sascha Kurz Squaring the square For a given integer n, determine the minimum number of squares in a tiling of an \\(n\\times n\\) square using using only integer sided squares of smaller size. (Although the models get quite large even for moderate n, they can be solved to optimality for all \\(n \\le 61\\), while challenging the MIP solver, especially the presolver.) 4.492056 960


ivu52: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: ivu
Assigned Model Group Rank/ISS in the MIC: 1 / 1.106

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: ivu Model group: reblock Model group: core Model group: air Model group: neos-pseudoapplication-46
Name ivu reblock core air neos-pseudoapplication-46
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 / 1.106 2 / 1.183 3 / 1.295 4 / 1.345 5 / 1.352

Model Group Summary

The table below contains summary information for the five most similar model groups to ivu52 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 ivu S. Weider Set partitioning model resulting from a column generation algorithm used for duty scheduling in public transportation. Solved in June 2014 using CPLEX 12.6 with 48 threads in about 25 days. 1.106171 1
reblock Andreas Bley Multi-period mine production scheduling model. Solved using ug[SCIP/spx], a distributed massively parallel version of SCIP run on 2,000 cores at the HLRN-II super computer facility. 1.183357 2
core A. Caprara, M. Fischetti, P. Toth Set covering model coming from Italian railway models 1.294558 3
air G. Astfalk Airline crew scheduling set partitioning problem 1.345458 4
neos-pseudoapplication-46 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.352378 5


Updated August 16, 2019