ds-big: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Steffen Weider
Description: Bus driver duty scheduling problem
MIPLIB Entry

Parent Instance (ds-big)

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

ds-big Raw ds-big Decomposed ds-big Composite of MIC top 5 ds-big Composite of MIPLIB top 5 ds-big 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.
sorrell3 decomposed sorrell7 decomposed ivu06 decomposed ex10 decomposed ex9 decomposed
Name sorrell3 [MIPLIB] sorrell7 [MIPLIB] ivu06 [MIPLIB] ex10 [MIPLIB] ex9 [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 / 0.957 2 / 0.999 3 / 1.038 4 / 1.044 5 / 1.095
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
sorrell3 raw sorrell7 raw ivu06 raw ex10 raw ex9 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.
ivu06 decomposed eilC76-2 decomposed nw04 decomposed ds decomposed ivu06-big decomposed
Name ivu06 [MIPLIB] eilC76-2 [MIPLIB] nw04 [MIPLIB] ds [MIPLIB] ivu06** [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.
3 / 1.038 38 / 2.039 142 / 3.210 177 / 3.384 N.A.** / N.A.**
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
ivu06 raw eilC76-2 raw nw04 raw ds raw ivu06-big raw

Instance Summary

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

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance ds-big [MIPLIB] Steffen Weider Bus driver duty scheduling problem 0.000000 -
MIC Top 5 sorrell3 [MIPLIB] Toni Sorrell These instances are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 0.956925 1
sorrell7 [MIPLIB] Toni Sorrell These instances are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 0.998543 2
ivu06 [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. 1.037667 3
ex10 [MIPLIB] Iulian Ober Formulations of Boolean SAT instance 1.043749 4
ex9 [MIPLIB] Iulian Ober Formulations of Boolean SAT instance 1.094666 5
MIPLIB Top 5 ivu06 [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. 1.037667 3
eilC76-2 [MIPLIB] J. Linderoth Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB Imported from the MIPLIB2010 submissions. 2.039437 38
nw04 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 3.210094 142
ds [MIPLIB] MIPLIB submission pool Imported from MIPLIB2003. 3.384461 177
ivu06** [MIPLIB] S. Weider Set partitioning instance resulting from a column generation algorithm used for duty scheduling in public transportation N.A.** N.A.**


ds-big: 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: ivu Model group: reblock Model group: core Model group: eil Model group: air
Name ivu reblock core eil air
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 / 1.103 2 / 1.191 3 / 1.258 4 / 1.347 5 / 1.354

Model Group Summary

The table below contains summary information for the five most similar model groups to ds-big 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. 1.103009 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. 1.191065 2
core A. Caprara, M. Fischetti, P. Toth Set covering model coming from Italian railway models 1.258354 3
eil J. Linderoth Set partitioning problem approximation for capicated vehicle routing problem model from TSPLIB 1.346677 4
air G. Astfalk Airline crew scheduling set partitioning problem 1.354093 5


** ivu06-big could not be decomposed by GCG, and was not included in our dataset.