t11nonreg: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Sujayandra Vaddagiri
Description: RoutingProblem
MIPLIB Entry

Parent Instance (t11nonreg)

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

t11nonreg Raw t11nonreg Decomposed t11nonreg Composite of MIC top 5 t11nonreg Composite of MIPLIB top 5 t11nonreg 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 gen-ip054 decomposed gt2 decomposed markshare2 decomposed gen-ip002 decomposed
Name f2gap40400 [MIPLIB] gen-ip054 [MIPLIB] gt2 [MIPLIB] markshare2 [MIPLIB] gen-ip002 [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 / 1.133 2 / 1.195 3 / 1.229 4 / 1.232 5 / 1.234
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
f2gap40400 raw gen-ip054 raw gt2 raw markshare2 raw gen-ip002 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.
neos-827015 decomposed neos-780889 decomposed bab6 decomposed supportcase19 decomposed kottenpark09 decomposed
Name neos-827015 [MIPLIB] neos-780889 [MIPLIB] bab6 [MIPLIB] supportcase19 [MIPLIB] neos-827015** [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.
34 / 1.351 130 / 1.492 771 / 1.972 894 / 2.315 N.A.** / N.A.**
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-827015 raw neos-780889 raw bab6 raw supportcase19 raw kottenpark09 raw

Instance Summary

The table below contains summary information for t11nonreg, the five most similar instances to t11nonreg according to the MIC, and the five most similar instances to t11nonreg according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance t11nonreg [MIPLIB] Sujayandra Vaddagiri RoutingProblem 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) 1.132653 1
gen-ip054 [MIPLIB] Simon Bowly Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. 1.194504 2
gt2 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.228669 3
markshare2 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 1.232237 4
gen-ip002 [MIPLIB] Simon Bowly Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. 1.234162 5
MIPLIB Top 5 neos-827015 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.350768 34
neos-780889 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.492476 130
bab6 [MIPLIB] Elmar Swarat Vehicle routing with profit and an integrated crew scheduling like bab2 - bab5. Instances differ in multi-commodity-flow formulation (path oder arc formulation) or time discretization and some are quite easy to solve while others (bab2, bab3 and bab6) are very difficult. 1.971531 771
supportcase19 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 2.315173 894
neos-827015** [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.**


t11nonreg: 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: markshare Model group: neos-pseudoapplication-74 Model group: scp Model group: stein Model group: enlight
Name markshare neos-pseudoapplication-74 scp stein enlight
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 / 1.687 2 / 1.715 3 / 1.723 4 / 1.816 5 / 1.836

Model Group Summary

The table below contains summary information for the five most similar model groups to t11nonreg according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 markshare G. Cornuéjols, M. Dawande Market sharing problem 1.687444 1
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.715142 2
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 1.722801 3
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.815660 4
enlight A. Zymolka Model to solve model of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 1.835799 5


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