pb-market-split8-70-4: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Gleb Belov
Description: These are the instances 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 instances can only be handled by solvers accepting indicator constraints. For instances 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 instances with full paths to mzn/dzn files of each instance 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 instance 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
MIPLIB Entry

Parent Instance (pb-market-split8-70-4)

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

pb-market-split8-70-4 Raw pb-market-split8-70-4 Decomposed pb-market-split8-70-4 Composite of MIC top 5 pb-market-split8-70-4 Composite of MIPLIB top 5 pb-market-split8-70-4 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.
mas76 decomposed gen-ip002 decomposed gen-ip016 decomposed mas74 decomposed gen-ip021 decomposed
Name mas76 [MIPLIB] gen-ip002 [MIPLIB] gen-ip016 [MIPLIB] mas74 [MIPLIB] gen-ip021 [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 / 0.666 2 / 0.672 3 / 0.677 4 / 0.692 5 / 0.702
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
mas76 raw gen-ip002 raw gen-ip016 raw mas74 raw gen-ip021 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.
mod008inf decomposed fhnw-binpack4-18 decomposed pg decomposed p2m2p1m1p0n100 decomposed d20200 decomposed
Name mod008inf [MIPLIB] fhnw-binpack4-18 [MIPLIB] pg [MIPLIB] p2m2p1m1p0n100 [MIPLIB] d20200 [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.
25 / 1.068 391 / 1.499 397 / 1.502 422 / 1.516 753 / 1.702
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
mod008inf raw fhnw-binpack4-18 raw pg raw p2m2p1m1p0n100 raw d20200 raw

Instance Summary

The table below contains summary information for pb-market-split8-70-4, the five most similar instances to pb-market-split8-70-4 according to the MIC, and the five most similar instances to pb-market-split8-70-4 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance pb-market-split8-70-4 [MIPLIB] Gleb Belov These are the instances 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 instances can only be handled by solvers accepting indicator constraints. For instances 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 instances with full paths to mzn/dzn files of each instance 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 instance 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 0.000000 -
MIC Top 5 mas76 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.666375 1
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. 0.671758 2
gen-ip016 [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. Solved with XPRESS in a few seconds. 0.676979 3
mas74 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.691509 4
gen-ip021 [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. 0.701758 5
MIPLIB Top 5 mod008inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.068141 25
fhnw-binpack4-18 [MIPLIB] Simon Felix Feasability-only 3D bin packing with additional constraints 1.498985 391
pg [MIPLIB] M. Dawande Multiproduct partial shipment model 1.502434 397
p2m2p1m1p0n100 [MIPLIB] B. Krishnamoorthy, G. Pataki A 0-1 knapsack problem constructed to be difficult 1.515886 422
d20200 [MIPLIB] COR@L test set Instance coming from the COR@L test set with unknown origin 1.702418 753


pb-market-split8-70-4: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: pb-
Assigned Model Group Rank/ISS in the MIC: 93 / 2.219

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: scp Model group: neos-pseudoapplication-21 Model group: stein Model group: enlight
Name markshare scp neos-pseudoapplication-21 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 / 0.626 2 / 0.747 3 / 0.977 4 / 0.998 5 / 1.203

Model Group Summary

The table below contains summary information for the five most similar model groups to pb-market-split8-70-4 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 markshare G. Cornuéjols, M. Dawande Market sharing problem 0.626031 1
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 0.747075 2
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.976701 3
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.998411 4
enlight A. Zymolka Model to solve model of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 1.202907 5


Updated August 16, 2019