control30-5-10-4: Instance-to-Instance Comparison Results

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

Parent Instance (control30-5-10-4)

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

control30-5-10-4 Raw control30-5-10-4 Decomposed control30-5-10-4 Composite of MIC top 5 control30-5-10-4 Composite of MIPLIB top 5 control30-5-10-4 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.
control20-5-10-5 decomposed n13-3 decomposed neos-1330346 decomposed net12 decomposed neos-555343 decomposed
Name control20-5-10-5 [MIPLIB] n13-3 [MIPLIB] neos-1330346 [MIPLIB] net12 [MIPLIB] neos-555343 [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 / 0.374 2 / 0.562 3 / 0.576 4 / 0.615 5 / 0.622
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
control20-5-10-5 raw n13-3 raw neos-1330346 raw net12 raw neos-555343 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.
control20-5-10-5 decomposed control30-3-2-3 decomposed npmv07 decomposed neos-799711 decomposed rentacar decomposed
Name control20-5-10-5 [MIPLIB] control30-3-2-3 [MIPLIB] npmv07 [MIPLIB] neos-799711 [MIPLIB] rentacar [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.
1 / 0.374 15 / 0.662 472 / 1.566 551 / 1.643 683 / 1.838
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
control20-5-10-5 raw control30-3-2-3 raw npmv07 raw neos-799711 raw rentacar raw

Instance Summary

The table below contains summary information for control30-5-10-4, the five most similar instances to control30-5-10-4 according to the MIC, and the five most similar instances to control30-5-10-4 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance control30-5-10-4 [MIPLIB] Qie He Optimal control of a discrete-time switched system model 0.000000 -
MIC Top 5 control20-5-10-5 [MIPLIB] Qie He Optimal control of a discrete-time switched system model Numerically challenging. Different solvers report this instance as solved to optimality, infeasible, or unbounded. 0.373598 1
n13-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.562425 2
neos-1330346 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.575753 3
net12 [MIPLIB] P. Belotti Network design instance 0.614746 4
neos-555343 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.621892 5
MIPLIB Top 5 control20-5-10-5 [MIPLIB] Qie He Optimal control of a discrete-time switched system model Numerically challenging. Different solvers report this instance as solved to optimality, infeasible, or unbounded. 0.373598 1
control30-3-2-3 [MIPLIB] Qie He Optimal control of a discrete-time switched system model 0.661595 15
npmv07 [MIPLIB] Q. Chen Unknown application 1.565523 472
neos-799711 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.642816 551
rentacar [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.838326 683


control30-5-10-4: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: control
Assigned Model Group Rank/ISS in the MIC: 1 / 0.785

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: control Model group: aflow Model group: neos-pseudoapplication-2 Model group: noip Model group: beasley
Name control aflow neos-pseudoapplication-2 noip beasley
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 / 0.785 2 / 1.089 3 / 1.110 4 / 1.165 5 / 1.181

Model Group Summary

The table below contains summary information for the five most similar model groups to control30-5-10-4 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 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. 0.785313 1
aflow T. Achterberg Arborescence flow problem on a graph with 40 nodes and edge density 0.9 1.088693 2
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.110361 3
noip Christopher Hojny integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists 1.165261 4
beasley F. Ortega, L. Wolsey Fixed cost network flow problems 1.181046 5