control30-3-2-3: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Qie He
Description: Optimal control of a discrete-time switched system model
MIPLIB Entry

Parent Instance (control30-3-2-3)

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

control30-3-2-3 Raw control30-3-2-3 Decomposed control30-3-2-3 Composite of MIC top 5 control30-3-2-3 Composite of MIPLIB top 5 control30-3-2-3 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.
neos-3118745-obra decomposed nexp-50-20-4-2 decomposed nexp-50-20-1-1 decomposed beavma decomposed neos-1425699 decomposed
Name neos-3118745-obra [MIPLIB] nexp-50-20-4-2 [MIPLIB] nexp-50-20-1-1 [MIPLIB] beavma [MIPLIB] neos-1425699 [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 / 0.468 2 / 0.489 3 / 0.492 4 / 0.507 5 / 0.514
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-3118745-obra raw nexp-50-20-4-2 raw nexp-50-20-1-1 raw beavma raw neos-1425699 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.
beavma decomposed neos-3075395-nile decomposed neos-5075914-elvire decomposed neos-5078479-escaut decomposed danoint decomposed
Name beavma [MIPLIB] neos-3075395-nile [MIPLIB] neos-5075914-elvire [MIPLIB] neos-5078479-escaut [MIPLIB] danoint [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.
4 / 0.507 365 / 1.258 449 / 1.377 460 / 1.395 493 / 1.443
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
beavma raw neos-3075395-nile raw neos-5075914-elvire raw neos-5078479-escaut raw danoint raw

Instance Summary

The table below contains summary information for control30-3-2-3, the five most similar instances to control30-3-2-3 according to the MIC, and the five most similar instances to control30-3-2-3 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance control30-3-2-3 [MIPLIB] Qie He Optimal control of a discrete-time switched system model 0.000000 -
MIC Top 5 neos-3118745-obra [MIPLIB] Jeff Linderoth (None provided) 0.467733 1
nexp-50-20-4-2 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.488595 2
nexp-50-20-1-1 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.492268 3
beavma [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.506849 4
neos-1425699 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.514315 5
MIPLIB Top 5 beavma [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.506849 4
neos-3075395-nile [MIPLIB] Jeff Linderoth Solved using SCIP 6.0.1 in less than 4 seconds. 1.257675 365
neos-5075914-elvire [MIPLIB] Jeff Linderoth (None provided) 1.377309 449
neos-5078479-escaut [MIPLIB] Jeff Linderoth (None provided) 1.395042 460
danoint [MIPLIB] Daniel Bienstock Telecommunications applications 1.442867 493


control30-3-2-3: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: control
Assigned Model Group Rank/ISS in the MIC: 3 / 1.141

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: neos-pseudoapplication-2 Model group: noip Model group: control Model group: sp_product Model group: mc
Name neos-pseudoapplication-2 noip control sp_product mc
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 / 0.860 2 / 0.922 3 / 1.142 4 / 1.145 5 / 1.153

Model Group Summary

The table below contains summary information for the five most similar model groups to control30-3-2-3 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.860222 1
noip Christopher Hojny integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists 0.921519 2
control Qie He Optimal control of a discrete-time switched system model Numerically challenging. Different solvers report this model as solved to optimality, infeasible, or unbounded. 1.141743 3
sp_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.144913 4
mc F. Ortega, L. Wolsey Fixed cost network flow problems 1.153222 5