a2c1s1: Instance-to-Instance Comparison Results

Type: Instance
Submitter: M. Vyve, Y. Pochet
Description: Lot sizing instance.
MIPLIB Entry

Parent Instance (a2c1s1)

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

a2c1s1 Raw a2c1s1 Decomposed a2c1s1 Composite of MIC top 5 a2c1s1 Composite of MIPLIB top 5 a2c1s1 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.
a1c1s1 decomposed b2c1s1 decomposed neos-3654993-kolva decomposed ic97_tension decomposed pb-grow22 decomposed
Name a1c1s1 [MIPLIB] b2c1s1 [MIPLIB] neos-3654993-kolva [MIPLIB] ic97_tension [MIPLIB] pb-grow22 [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 / 0.274 2 / 0.929 3 / 1.017 4 / 1.028 5 / 1.036
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
a1c1s1 raw b2c1s1 raw neos-3654993-kolva raw ic97_tension raw pb-grow22 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.
a1c1s1 decomposed b2c1s1 decomposed unitcal_7 decomposed exp-1-500-5-5 decomposed b1c1s1 decomposed
Name a1c1s1 [MIPLIB] b2c1s1 [MIPLIB] unitcal_7 [MIPLIB] exp-1-500-5-5 [MIPLIB] b1c1s1* [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 / 0.274 2 / 0.929 293 / 1.421 344 / 1.468 2* / 0.929*
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
a1c1s1 raw b2c1s1 raw unitcal_7 raw exp-1-500-5-5 raw b1c1s1 raw

Instance Summary

The table below contains summary information for a2c1s1, the five most similar instances to a2c1s1 according to the MIC, and the five most similar instances to a2c1s1 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance a2c1s1 [MIPLIB] M. Vyve, Y. Pochet Lot sizing instance. 0.000000 -
MIC Top 5 a1c1s1 [MIPLIB] M. Vyve, Y. Pochet Lot sizing instance. Alkis Vazacopoulos reports solving this instance using XPRESS 2006B. 0.274407 1
b2c1s1 [MIPLIB] M. Vyve, Y. Pochet Lot sizing instance. Solved by Gurobi 4.6.1 (12 threads) in 116575 seconds (January 2012). 0.929267 2
neos-3654993-kolva [MIPLIB] Jeff Linderoth (None provided) 1.017249 3
ic97_tension [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.027898 4
pb-grow22 [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 1.036043 5
MIPLIB Top 5 a1c1s1 [MIPLIB] M. Vyve, Y. Pochet Lot sizing instance. Alkis Vazacopoulos reports solving this instance using XPRESS 2006B. 0.274407 1
b2c1s1 [MIPLIB] M. Vyve, Y. Pochet Lot sizing instance. Solved by Gurobi 4.6.1 (12 threads) in 116575 seconds (January 2012). 0.929267 2
unitcal_7 [MIPLIB] R. O’Neill California seven day unit commitment problem 1.420797 293
exp-1-500-5-5 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.467779 344
b1c1s1* [MIPLIB] M. Vyve, Y. Pochet Lot sizing instance. 0.929267* 2*


a2c1s1: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: c1s1
Assigned Model Group Rank/ISS in the MIC: 1 / 0.916

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: c1s1 Model group: set3 Model group: neos-pseudoapplication-97 Model group: neos-pseudoapplication-1 Model group: neos-pseudoapplication-7
Name c1s1 set3 neos-pseudoapplication-97 neos-pseudoapplication-1 neos-pseudoapplication-7
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 / 0.916 2 / 1.493 3 / 1.531 4 / 1.603 5 / 1.616

Model Group Summary

The table below contains summary information for the five most similar model groups to a2c1s1 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 c1s1 M. Vyve, Y. Pochet Lot sizing model. 0.916400 1
set3 Kerem Akartunali Multi-item lot-sizing with backlogging. Solved by SCIP 3.1.1 parallelized by UG 0.7.5 linked to CPLEX 12.6 as an LP solver on HLRN III (https://www.hlrn.de/home/view/System3/CrayHardware). Due to time limit restrictions, four repeated runs, each starting from the checkpointing file of the previous run, were done. Each run had a time limit of 12 hours while using 6144 (runs 1) or 3072 cores (run 2 - 4). 1.493247 2
neos-pseudoapplication-97 Jeff Linderoth (None provided) 1.530605 3
neos-pseudoapplication-1 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.602921 4
neos-pseudoapplication-7 Jeff Linderoth (None provided) 1.615966 5


* b1c1s1 is a duplicate of b2c1s1.