neos-4333596-skien: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Jeff Linderoth
Description: (None provided)
MIPLIB Entry

Parent Instance (neos-4333596-skien)

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

neos-4333596-skien Raw neos-4333596-skien Decomposed neos-4333596-skien Composite of MIC top 5 neos-4333596-skien Composite of MIPLIB top 5 neos-4333596-skien 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.
gt2 decomposed fhnw-sq2 decomposed mad decomposed neos-2978205-isar decomposed neos-3322547-alsek decomposed
Name gt2 [MIPLIB] fhnw-sq2 [MIPLIB] mad [MIPLIB] neos-2978205-isar [MIPLIB] neos-3322547-alsek [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 / 1.176 2 / 1.181 3 / 1.208 4 / 1.213 5 / 1.222
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
gt2 raw fhnw-sq2 raw mad raw neos-2978205-isar raw neos-3322547-alsek 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.
xmas10 decomposed neos-4954672-berkel decomposed hgms-det decomposed neos-2294525-abba decomposed neos-595904 decomposed
Name xmas10 [MIPLIB] neos-4954672-berkel [MIPLIB] hgms-det [MIPLIB] neos-2294525-abba [MIPLIB] neos-595904 [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.
114 / 1.484 282 / 1.562 432 / 1.637 478 / 1.655 548 / 1.690
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
xmas10 raw neos-4954672-berkel raw hgms-det raw neos-2294525-abba raw neos-595904 raw

Instance Summary

The table below contains summary information for neos-4333596-skien, the five most similar instances to neos-4333596-skien according to the MIC, and the five most similar instances to neos-4333596-skien according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-4333596-skien [MIPLIB] Jeff Linderoth (None provided) 0.000000 -
MIC Top 5 gt2 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.176239 1
fhnw-sq2 [MIPLIB] Simon Felix Combinatorial toy fesability problem: Magic square. Instances 1 & 2 are feasible, instance 3 is unknown. Reported to be solved after 46883 seconds with ParaSCIP using 72 cores. 1.181122 2
mad [MIPLIB] Koichi Fujii Mean-Absolute Deviation Model for Car Dealerships 1.208101 3
neos-2978205-isar [MIPLIB] Jeff Linderoth (None provided) 1.212789 4
neos-3322547-alsek [MIPLIB] Jeff Linderoth (None provided) 1.222396 5
MIPLIB Top 5 xmas10 [MIPLIB] Simon Felix An ILP formulation of\xa0an FHNW puzzle (a mix of longest path and a flow problem). 1.484403 114
neos-4954672-berkel [MIPLIB] Jeff Linderoth (None provided) 1.561975 282
hgms-det [MIPLIB] Jesus Rodriguez Maintenance scheduling of generators in hydropower systems 1.636580 432
neos-2294525-abba [MIPLIB] Jeff Linderoth (None provided) 1.654811 478
neos-595904 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.689702 548


neos-4333596-skien: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-43
Assigned Model Group Rank/ISS in the MIC: 16 / 2.047

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: timtab Model group: markshare Model group: rpp Model group: neos-pseudoapplication-21
Name scp timtab markshare rpp 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 / 1.766 2 / 1.820 3 / 1.836 4 / 1.849 5 / 1.860

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-4333596-skien 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 1.766203 1
timtab C. Liebchen, R. Möhring Public transport scheduling problem 1.820035 2
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.836262 3
rpp Gleb Belov These are the models from MiniZinc Challenges 2012-2016 (see www.minizinc.org), compiled for MIP WITH INDICATOR CONSTRAINTS using the develop branch of MiniZinc and CPLEX 12.7.1 on 30 April 2017. Thus, these models can only be handled by solvers accepting indicator constraints. For models compiled with big-M/domain decomposition only, see my previous submission to MIPLIB.To recompile, create a directory MODELS, a list lst12_16.txt of the models with full paths to mzn/dzn files of each model per line, and say$> ~/install/libmzn/tests/benchmarking/mzn-test.py -l ../lst12_16.txt -slvPrf MZN-CPLEX -debug 1 -addOption "-timeout 3 -D fIndConstr=true -D fMIPdomains=false" -useJoinedName "-writeModel MODELS_IND/%s.mps" Alternatively, you can compile individual model as follows: $> mzn-cplex -v -s -G linear -output-time ../challenge_2012_2016/mznc2016_probs/zephyrus/zephyrus.mzn ../challenge_2012_2016/mznc2016_p/zephyrus/14__8__6__3.dzn -a -timeout 3 -D fIndConstr=true -D fMIPdomains=false -writeModel MODELS_IND/challenge_2012_2016mznc2016_probszephyruszephyrusmzn-challenge_2012_2016mznc2016_probszephyrus14__8__6__3dzn.mps 1.848872 4
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.859650 5