academictimetablebig: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Joshua Friedman
Description: Academic timetabling integer program Reported solved after 1 1/2 days using Gurobi.
MIPLIB Entry

Parent Instance (academictimetablebig)

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

academictimetablebig Raw academictimetablebig Decomposed academictimetablebig Composite of MIC top 5 academictimetablebig Composite of MIPLIB top 5 academictimetablebig 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.
f2gap40400 decomposed neos-5221106-oparau decomposed academictimetablesmall decomposed neos-807639 decomposed lotsize decomposed
Name f2gap40400 [MIPLIB] neos-5221106-oparau [MIPLIB] academictimetablesmall [MIPLIB] neos-807639 [MIPLIB] lotsize [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 / 1.270 2 / 1.315 3 / 1.351 4 / 1.352 5 / 1.374
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
f2gap40400 raw neos-5221106-oparau raw academictimetablesmall raw neos-807639 raw lotsize 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.
academictimetablesmall decomposed nursesched-medium-hint03 decomposed neos-5193246-nerang decomposed physiciansched3-3 decomposed neos-5195221-niemur decomposed
Name academictimetablesmall [MIPLIB] nursesched-medium-hint03 [MIPLIB] neos-5193246-nerang [MIPLIB] physiciansched3-3 [MIPLIB] neos-5195221-niemur* [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.
3 / 1.351 532 / 1.741 781 / 2.015 842 / 2.154 781* / 2.015*
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
academictimetablesmall raw nursesched-medium-hint03 raw neos-5193246-nerang raw physiciansched3-3 raw neos-5195221-niemur raw

Instance Summary

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

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance academictimetablebig [MIPLIB] Joshua Friedman Academic timetabling integer program Reported solved after 1 1/2 days using Gurobi. 0.000000 -
MIC Top 5 f2gap40400 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.270147 1
neos-5221106-oparau [MIPLIB] Hans Mittelmann Seem to be VRP output from 2-hour runs of Gurobi on 12 threads is included 1.315336 2
academictimetablesmall [MIPLIB] Joshua Friedman Academic timetabling integer program 1.351457 3
neos-807639 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.352204 4
lotsize [MIPLIB] Dinakar Gade, Simge Kucukyavuz Multi-item lot sizing with service level constraints 1.373545 5
MIPLIB Top 5 academictimetablesmall [MIPLIB] Joshua Friedman Academic timetabling integer program 1.351457 3
nursesched-medium-hint03 [MIPLIB] Haroldo Gambini Santos Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010 1.740802 532
neos-5193246-nerang [MIPLIB] Jeff Linderoth (None provided) 2.015191 781
physiciansched3-3 [MIPLIB] Pelin Damci-Kurt Physician scheduling problem for hospitalist, radiology and kidney specialist groups. 2.153957 842
neos-5195221-niemur* [MIPLIB] Jeff Linderoth (None provided) 2.015191* 781*


academictimetablebig: 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: scp Model group: enlight Model group: neos-pseudoapplication-74 Model group: neos-pseudoapplication-40 Model group: neos-pseudoapplication-21
Name scp enlight neos-pseudoapplication-74 neos-pseudoapplication-40 neos-pseudoapplication-21
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 / 1.895 2 / 1.903 3 / 1.918 4 / 1.989 5 / 1.997

Model Group Summary

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

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 scp Shunji Umetani This is a random test model generator for SCP using the scheme of the following paper, namely the column cost c[j] are integer randomly generated from [1,100]; every column covers at least one row; and every row is covered by at least two columns. see reference: E. Balas and A. Ho, Set covering algorithms using cutting planes, heuristics, and subgradient optimization: A computational study, Mathematical Programming, 12 (1980), 37-60. We have newly generated Classes I-N with the following parameter values, where each class has five models. We have also generated reduced models by a standard pricing method in the following paper: S. Umetani and M. Yagiura, Relaxation heuristics for the set covering problem, Journal of the Operations Research Society of Japan, 50 (2007), 350-375. You can obtain the model generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark 1.895014 1
enlight A. Zymolka Model to solve model of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 1.902579 2
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.918290 3
neos-pseudoapplication-40 Jeff Linderoth (None provided) 1.989103 4
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.996962 5


* neos-5195221-niemur is a duplicate of neos-5193246-nerang.

Updated August 16, 2019