eva1aprime6x6opt: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Yoshihiro Kanno
Description: MILP approach to generate structures with negative thermal expansion coefficients
MIPLIB Entry

Parent Instance (eva1aprime6x6opt)

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

eva1aprime6x6opt Raw eva1aprime6x6opt Decomposed eva1aprime6x6opt Composite of MIC top 5 eva1aprime6x6opt Composite of MIPLIB top 5 eva1aprime6x6opt 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.
eva1aprime5x5opt decomposed highschool1-aigio decomposed bab2 decomposed nursesched-medium-hint03 decomposed pb-gfrd-pnc decomposed
Name eva1aprime5x5opt [MIPLIB] highschool1-aigio [MIPLIB] bab2 [MIPLIB] nursesched-medium-hint03 [MIPLIB] pb-gfrd-pnc [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 / 1.401 2 / 1.425 3 / 1.427 4 / 1.507 5 / 1.522
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
eva1aprime5x5opt raw highschool1-aigio raw bab2 raw nursesched-medium-hint03 raw pb-gfrd-pnc 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.
eva1aprime5x5opt decomposed neos-619167 decomposed neos-3754224-navua decomposed neos-3594536-henty decomposed neos-5018451-chiese decomposed
Name eva1aprime5x5opt [MIPLIB] neos-619167 [MIPLIB] neos-3754224-navua [MIPLIB] neos-3594536-henty [MIPLIB] neos-5018451-chiese [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.
1 / 1.401 161 / 1.877 409 / 1.990 547 / 2.027 878 / 2.379
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
eva1aprime5x5opt raw neos-619167 raw neos-3754224-navua raw neos-3594536-henty raw neos-5018451-chiese raw

Instance Summary

The table below contains summary information for eva1aprime6x6opt, the five most similar instances to eva1aprime6x6opt according to the MIC, and the five most similar instances to eva1aprime6x6opt according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance eva1aprime6x6opt [MIPLIB] Yoshihiro Kanno MILP approach to generate structures with negative thermal expansion coefficients 0.000000 -
MIC Top 5 eva1aprime5x5opt [MIPLIB] Yoshihiro Kanno MILP approach to generate structures with negative thermal expansion coefficients 1.400931 1
highschool1-aigio [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]. 1.424890 2
bab2 [MIPLIB] Elmar Swarat Vehicle Routing with profits and an integrated crew scheduling formulated by two coupled multi-commodity flow problems. 1.426897 3
nursesched-medium-hint03 [MIPLIB] Haroldo Gambini Santos Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010 1.507227 4
pb-gfrd-pnc [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 1.522077 5
MIPLIB Top 5 eva1aprime5x5opt [MIPLIB] Yoshihiro Kanno MILP approach to generate structures with negative thermal expansion coefficients 1.400931 1
neos-619167 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.877280 161
neos-3754224-navua [MIPLIB] Jeff Linderoth (None provided) 1.989988 409
neos-3594536-henty [MIPLIB] Jeff Linderoth (None provided) 2.027090 547
neos-5018451-chiese [MIPLIB] Jeff Linderoth (None provided) 2.378620 878


eva1aprime6x6opt: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: evaprime
Assigned Model Group Rank/ISS in the MIC: 1 / 1.459

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: evaprime Model group: scp Model group: neos-pseudoapplication-21 Model group: stein Model group: neos-pseudoapplication-84
Name evaprime scp neos-pseudoapplication-21 stein neos-pseudoapplication-84
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 / 1.460 2 / 2.178 3 / 2.194 4 / 2.237 5 / 2.247

Model Group Summary

The table below contains summary information for the five most similar model groups to eva1aprime6x6opt according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 evaprime Yoshihiro Kanno MILP approach to generate structures with negative thermal expansion coefficients 1.459501 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 2.177671 2
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 2.194496 3
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 2.237157 4
neos-pseudoapplication-84 Jeff Linderoth (None provided) 2.246720 5