p2m2p1m1p0n100: Instance-to-Instance Comparison Results

Type: Instance
Submitter: B. Krishnamoorthy, G. Pataki
Description: A 0-1 knapsack problem constructed to be difficult
MIPLIB Entry

Parent Instance (p2m2p1m1p0n100)

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

p2m2p1m1p0n100 Raw p2m2p1m1p0n100 Decomposed p2m2p1m1p0n100 Composite of MIC top 5 p2m2p1m1p0n100 Composite of MIPLIB top 5 p2m2p1m1p0n100 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.
flugpl decomposed markshare_4_0 decomposed flugplinf decomposed stein9inf decomposed enlight4 decomposed
Name flugpl [MIPLIB] markshare_4_0 [MIPLIB] flugplinf [MIPLIB] stein9inf [MIPLIB] enlight4 [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 / 0.528 2 / 0.548 3 / 0.553 4 / 0.561 5 / 0.592
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
flugpl raw markshare_4_0 raw flugplinf raw stein9inf raw enlight4 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.
h80x6320 decomposed mod008inf decomposed pb-market-split8-70-4 decomposed d20200 decomposed 10teams decomposed
Name h80x6320 [MIPLIB] mod008inf [MIPLIB] pb-market-split8-70-4 [MIPLIB] d20200 [MIPLIB] 10teams [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.
8 / 0.717 36 / 0.929 456 / 1.516 582 / 1.678 735 / 2.008
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
h80x6320 raw mod008inf raw pb-market-split8-70-4 raw d20200 raw 10teams raw

Instance Summary

The table below contains summary information for p2m2p1m1p0n100, the five most similar instances to p2m2p1m1p0n100 according to the MIC, and the five most similar instances to p2m2p1m1p0n100 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance p2m2p1m1p0n100 [MIPLIB] B. Krishnamoorthy, G. Pataki A 0-1 knapsack problem constructed to be difficult 0.000000 -
MIC Top 5 flugpl [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.528471 1
markshare_4_0 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 0.548425 2
flugplinf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.552686 3
stein9inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.561477 4
enlight4 [MIPLIB] A. Zymolka Model to solve instance of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 0.592433 5
MIPLIB Top 5 h80x6320 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.716878 8
mod008inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.929155 36
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 1.515886 456
d20200 [MIPLIB] COR@L test set Instance coming from the COR@L test set with unknown origin 1.678162 582
10teams [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 2.007714 735


p2m2p1m1p0n100: 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: neos-pseudoapplication-74 Model group: neos-pseudoapplication-109 Model group: map Model group: neos-pseudoapplication-2 Model group: rmatr
Name neos-pseudoapplication-74 neos-pseudoapplication-109 map neos-pseudoapplication-2 rmatr
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 / 1.222 2 / 1.345 3 / 1.383 4 / 1.427 5 / 1.488

Model Group Summary

The table below contains summary information for the five most similar model groups to p2m2p1m1p0n100 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.221966 1
neos-pseudoapplication-109 Jeff Linderoth (None provided) 1.344636 2
map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 1.382791 3
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.426833 4
rmatr Dmitry Krushinsky Model coming from a formulation of the p-Median problem using square cost matrices 1.487761 5