irish-electricity: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Paula Carroll
Description: Unit Commitment - Irish Test systems We submit a sample Unit Commitment test instance based on an Irish case study. We include a readme file, a solution file, and additional data so that users may generate further UC test instances.
MIPLIB Entry

Parent Instance (irish-electricity)

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

irish-electricity Raw irish-electricity Decomposed irish-electricity Composite of MIC top 5 irish-electricity Composite of MIPLIB top 5 irish-electricity 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.
pythago7824 decomposed pythago7825 decomposed glass-sc decomposed eilC76-2 decomposed 2club200v15p5scn decomposed
Name pythago7824 [MIPLIB] pythago7825 [MIPLIB] glass-sc [MIPLIB] eilC76-2 [MIPLIB] 2club200v15p5scn [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 / 1.335 2 / 1.356 3 / 1.356 4 / 1.365 5 / 1.366
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
pythago7824 raw pythago7825 raw glass-sc raw eilC76-2 raw 2club200v15p5scn 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.
uccase10 decomposed uccase7 decomposed uccase8 decomposed neos-4264598-oueme decomposed uccase9 decomposed
Name uccase10 [MIPLIB] uccase7 [MIPLIB] uccase8 [MIPLIB] neos-4264598-oueme [MIPLIB] uccase9 [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.
191 / 2.139 548 / 2.469 580 / 2.497 589 / 2.503 611 / 2.513
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
uccase10 raw uccase7 raw uccase8 raw neos-4264598-oueme raw uccase9 raw

Instance Summary

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

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance irish-electricity [MIPLIB] Paula Carroll Unit Commitment - Irish Test systems We submit a sample Unit Commitment test instance based on an Irish case study. We include a readme file, a solution file, and additional data so that users may generate further UC test instances. 0.000000 -
MIC Top 5 pythago7824 [MIPLIB] Felix J. L. Willamowski 2-coloring of Pythagorean triples 1.335164 1
pythago7825 [MIPLIB] Felix J. L. Willamowski 2-coloring of Pythagorean triples 1.355575 2
glass-sc [MIPLIB] Marc Pfetsch Set covering problems arising from a Benders algorithm for finding maximum feasible subsystems. More details on the generation is given in the README file in the tarball. 1.356372 3
eilC76-2 [MIPLIB] J. Linderoth Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB Imported from the MIPLIB2010 submissions. 1.365216 4
2club200v15p5scn [MIPLIB] Balabhaskar Balasundaram Maximum 2-club instance; graph; clique relaxations Solved with Gurobi 8.1 on 24 cores in approx. 23 hours. 1.366183 5
MIPLIB Top 5 uccase10 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 2.138912 191
uccase7 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 2.469462 548
uccase8 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 2.496695 580
neos-4264598-oueme [MIPLIB] Jeff Linderoth (None provided) 2.503102 589
uccase9 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 2.513015 611


irish-electricity: 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: independentset Model group: generated Model group: f2gap Model group: assign1 Model group: maxfeassub
Name independentset generated f2gap assign1 maxfeassub
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 / 1.429 2 / 1.453 3 / 1.522 4 / 1.544 5 / 1.549

Model Group Summary

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

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 independentset Toni Sorrell These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 1.429167 1
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. 1.453405 2
f2gap Salim Haddadi Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.521921 3
assign1 Robert Fourer Imported from the MIPLIB2010 submissions. 1.544329 4
maxfeassub Marc Pfetsch Set covering problems arising from a Benders algorithm for finding maximum feasible subsystems. More details on the generation is given in the README file in the tarball. 1.548566 5