kosova1: Instance-to-Instance Comparison Results

Type: Instance
Submitter: George Fonseca
Description: Educational timetabling problems from several real schools/universities around the world. These instances were originally expressed in the xhstt file format [1] and formulated as Integer Programming models as described at [2].
MIPLIB Entry

Parent Instance (kosova1)

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

kosova1 Raw kosova1 Decomposed kosova1 Composite of MIC top 5 kosova1 Composite of MIPLIB top 5 kosova1 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.
brazil3 decomposed woodlands09 decomposed rlp1 decomposed neos2 decomposed sp150x300d decomposed
Name brazil3 [MIPLIB] woodlands09 [MIPLIB] rlp1 [MIPLIB] neos2 [MIPLIB] sp150x300d [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 / 1.067 2 / 1.165 3 / 1.176 4 / 1.203 5 / 1.213
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
brazil3 raw woodlands09 raw rlp1 raw neos2 raw sp150x300d 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.
brazil3 decomposed woodlands09 decomposed highschool1-aigio decomposed kottenpark09 decomposed triptim7 decomposed
Name brazil3 [MIPLIB] woodlands09 [MIPLIB] highschool1-aigio [MIPLIB] brazil3** [MIPLIB] triptim7* [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 / 1.067 2 / 1.165 727 / 1.921 N.A.** / N.A.** 775* / 2.031*
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
brazil3 raw woodlands09 raw highschool1-aigio raw kottenpark09 raw triptim7 raw

Instance Summary

The table below contains summary information for kosova1, the five most similar instances to kosova1 according to the MIC, and the five most similar instances to kosova1 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance kosova1 [MIPLIB] George Fonseca Educational timetabling problems from several real schools/universities around the world. These instances were originally expressed in the xhstt file format [1] and formulated as Integer Programming models as described at [2]. 0.000000 -
MIC Top 5 brazil3 [MIPLIB] George Fonseca Educational timetabling problems from several real schools/universities around the world. These instances were originally expressed in the xhstt file format [1] and formulated as Integer Programming models as described at [2]. 1.066721 1
woodlands09 [MIPLIB] George Fonseca Educational timetabling problems from several real schools/universities around the world. These instances were originally expressed in the xhstt file format [1] and formulated as Integer Programming models as described at [2]. 1.165398 2
rlp1 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.176484 3
neos2 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.202810 4
sp150x300d [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.213446 5
MIPLIB Top 5 brazil3 [MIPLIB] George Fonseca Educational timetabling problems from several real schools/universities around the world. These instances were originally expressed in the xhstt file format [1] and formulated as Integer Programming models as described at [2]. 1.066721 1
woodlands09 [MIPLIB] George Fonseca Educational timetabling problems from several real schools/universities around the world. These instances were originally expressed in the xhstt file format [1] and formulated as Integer Programming models as described at [2]. 1.165398 2
highschool1-aigio [MIPLIB] George Fonseca Educational timetabling problems from several real schools/universities around the world. These instances were originally expressed in the xhstt file format [1] and formulated as Integer Programming models as described at [2]. 1.920516 727
brazil3** [MIPLIB] George Fonseca Educational timetabling problems from several real schools/universities around the world. These instances were originally expressed in the xhstt file format [1] and formulated as Integer Programming models as described at [2]. N.A.** N.A.**
triptim7* [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 2.030889* 775*


kosova1: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: timetabling
Assigned Model Group Rank/ISS in the MIC: 77 / 2.289

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: sp_product Model group: neos-pseudoapplication-2 Model group: map Model group: allcolor Model group: rmatr
Name sp_product neos-pseudoapplication-2 map allcolor rmatr
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 / 1.508 2 / 1.578 3 / 1.588 4 / 1.606 5 / 1.614

Model Group Summary

The table below contains summary information for the five most similar model groups to kosova1 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 sp_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.508493 1
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.577556 2
map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 1.588360 3
allcolor Domenico Salvagnin Prepack optimization model. 1.605752 4
rmatr Dmitry Krushinsky Model coming from a formulation of the p-Median problem using square cost matrices 1.614032 5


* triptim7 is a duplicate of triptim8.

** kottenpark09 could not be decomposed by GCG, and was not included in our dataset.

Updated August 16, 2019