sct32: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Siemens
Description: Assembly line balancing for printed circuit board production. First solved by Gurobi 7.0 in 65 hours (32 threads).
MIPLIB Entry

Parent Instance (sct32)

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

sct32 Raw sct32 Decomposed sct32 Composite of MIC top 5 sct32 Composite of MIPLIB top 5 sct32 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.
neos5 decomposed f2gap801600 decomposed reblock115 decomposed eil33-2 decomposed pythago7825 decomposed
Name neos5 [MIPLIB] f2gap801600 [MIPLIB] reblock115 [MIPLIB] eil33-2 [MIPLIB] pythago7825 [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 / 1.229 2 / 1.237 3 / 1.266 4 / 1.275 5 / 1.288
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos5 raw f2gap801600 raw reblock115 raw eil33-2 raw pythago7825 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.
sct31 decomposed sct1 decomposed neos-1337307 decomposed sct2 decomposed sct5 decomposed
Name sct31 [MIPLIB] sct1 [MIPLIB] neos-1337307 [MIPLIB] sct2 [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.
6 / 1.300 23 / 1.430 559 / 2.223 619 / 2.255 857 / 2.354
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
sct31 raw sct1 raw neos-1337307 raw sct2 raw sct5 raw

Instance Summary

The table below contains summary information for sct32, the five most similar instances to sct32 according to the MIC, and the five most similar instances to sct32 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance sct32 [MIPLIB] Siemens Assembly line balancing for printed circuit board production. First solved by Gurobi 7.0 in 65 hours (32 threads). 0.000000 -
MIC Top 5 neos5 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.229446 1
f2gap801600 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.237339 2
reblock115 [MIPLIB] Andreas Bley Multi-period mine production scheduling instances 1.265640 3
eil33-2 [MIPLIB] J. Linderoth Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB 1.275266 4
pythago7825 [MIPLIB] Felix J. L. Willamowski 2-coloring of Pythagorean triples 1.287816 5
MIPLIB Top 5 sct31 [MIPLIB] Siemens Assembly line balancing for printed circuit board production 1.300171 6
sct1 [MIPLIB] Siemens Assembly line balancing for printed circuit board production 1.430129 23
neos-1337307 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 2.222605 559
sct2 [MIPLIB] Siemens Assembly line balancing for printed circuit board production 2.254786 619
sct5 [MIPLIB] Siemens Assembly line balancing for printed circuit board production 2.354243 857


sct32: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: sct
Assigned Model Group Rank/ISS in the MIC: 14 / 1.947

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: generated Model group: independentset Model group: neos-pseudoapplication-21 Model group: neos-pseudoapplication-101 Model group: f2gap
Name generated independentset neos-pseudoapplication-21 neos-pseudoapplication-101 f2gap
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 / 1.445 2 / 1.448 3 / 1.475 4 / 1.575 5 / 1.588

Model Group Summary

The table below contains summary information for the five most similar model groups to sct32 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 generated Simon Bowly Randomly generated integer and binary programming models. These results are part of an early phase of work aimed at generating diverse and challenging MIP models for experimental testing. We have aimed to produce small integer and binary programming models which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. 1.445189 1
independentset Toni Sorrell These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 1.448199 2
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.475308 3
neos-pseudoapplication-101 NEOS Server Submission Model coming from the NEOS Server with unknown application. Infeasibility claimed by CPLEX 12.6 and CPLEX 12.6.1 with extreme numerical caution emphasi after 4 and 2 hours computation, respectively. 1.574792 4
f2gap Salim Haddadi Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.587523 5