n2seq36q: Instance-to-Instance Comparison Results

Type: Instance
Submitter: R. Meirich
Description: Static line planning models on the Dutch IC network
MIPLIB Entry

Parent Instance (n2seq36q)

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

n2seq36q Raw n2seq36q Decomposed n2seq36q Composite of MIC top 5 n2seq36q Composite of MIPLIB top 5 n2seq36q 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.
rwth-timetable decomposed tpl-tub-ws1617 decomposed nh97_tension decomposed tpl-tub-ss16 decomposed neos-3148108-pahi decomposed
Name rwth-timetable [MIPLIB] tpl-tub-ws1617 [MIPLIB] nh97_tension [MIPLIB] tpl-tub-ss16 [MIPLIB] neos-3148108-pahi [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 / 1.338 2 / 1.354 3 / 1.385 4 / 1.421 5 / 1.545
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
rwth-timetable raw tpl-tub-ws1617 raw nh97_tension raw tpl-tub-ss16 raw neos-3148108-pahi 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.
bab5 decomposed bab3 decomposed neos-3555904-turama decomposed neos-941313 decomposed neos-859770 decomposed
Name bab5 [MIPLIB] bab3 [MIPLIB] neos-3555904-turama [MIPLIB] neos-941313 [MIPLIB] neos-859770 [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.
17 / 1.766 67 / 2.009 137 / 2.122 414 / 2.290 748 / 2.415
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
bab5 raw bab3 raw neos-3555904-turama raw neos-941313 raw neos-859770 raw

Instance Summary

The table below contains summary information for n2seq36q, the five most similar instances to n2seq36q according to the MIC, and the five most similar instances to n2seq36q according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance n2seq36q [MIPLIB] R. Meirich Static line planning models on the Dutch IC network 0.000000 -
MIC Top 5 rwth-timetable [MIPLIB] Gerald Lach University Course Timetabling from the RWTH Aachen 1.337524 1
tpl-tub-ws1617 [MIPLIB] János Höner Model for the Post-Enrollment Course Timetabling Problem at TU Berlin from the summer term 2016 and the winter term 2016/2017 1.353864 2
nh97_tension [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.384923 3
tpl-tub-ss16 [MIPLIB] János Höner Model for the Post-Enrollment Course Timetabling Problem at TU Berlin from the summer term 2016 and the winter term 2016/2017 1.420913 4
neos-3148108-pahi [MIPLIB] Jeff Linderoth (None provided) 1.545240 5
MIPLIB Top 5 bab5 [MIPLIB] Elmar Swarat Vehicle routing with profits and an integrated crew scheduling problem formulated by two coupled multi-commodity flow problems 1.765910 17
bab3 [MIPLIB] Elmar Swarat Vehicle routing with profits and an integrated crew scheduling problem formulated by two coupled multi-commodity flow problems 2.008821 67
neos-3555904-turama [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 2.122112 137
neos-941313 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 2.289652 414
neos-859770 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 2.414614 748


n2seq36q: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: nseq
Assigned Model Group Rank/ISS in the MIC: 15 / 2.242

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: huefner Model group: cryptanalysis Model group: scp Model group: neos-pseudoapplication-21 Model group: generated
Name huefner cryptanalysis scp neos-pseudoapplication-21 generated
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 / 1.784 2 / 1.959 3 / 1.982 4 / 2.006 5 / 2.033

Model Group Summary

The table below contains summary information for the five most similar model groups to n2seq36q according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 huefner Falk Hueffner The NP-hard Balanced Subgraph problem (variant of MaxCut) encoded as ILPs. Real-world models from two applications from bioinformatics, finding monotone subsystems in gene regulatory networks (http://dx.doi.org/10.1007/s10878-009-9212-2) and finding optimal layouts of tanglegrams (http://dx.doi.org/10.1007/978-3-642-11269-0). 1.783932 1
cryptanalysis Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 1.959010 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 1.981764 3
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 2.006126 4
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. 2.033197 5