mc8: Instance-to-Instance Comparison Results

Type: Instance
Submitter: F. Ortega, L. Wolsey
Description: Fixed cost network flow problems
MIPLIB Entry

Parent Instance (mc8)

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

mc8 Raw mc8 Decomposed mc8 Composite of MIC top 5 mc8 Composite of MIPLIB top 5 mc8 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.
g200x740 decomposed 50v-10 decomposed dws008-03 decomposed dws012-03 decomposed dws012-02 decomposed
Name g200x740 [MIPLIB] 50v-10 [MIPLIB] dws008-03 [MIPLIB] dws012-03 [MIPLIB] dws012-02 [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 / 0.486 2 / 0.597 3 / 0.632 4 / 0.634 5 / 0.644
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
g200x740 raw 50v-10 raw dws008-03 raw dws012-03 raw dws012-02 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.
p500x2988d decomposed beasleyC3 decomposed brasil decomposed mc7 decomposed mc11 decomposed
Name p500x2988d [MIPLIB] beasleyC3 [MIPLIB] brasil [MIPLIB] mc7* [MIPLIB] mc11* [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.
21 / 0.808 75 / 0.991 117 / 1.069 0* / 0.000* 0* / 0.000*
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
p500x2988d raw beasleyC3 raw brasil raw mc7 raw mc11 raw

Instance Summary

The table below contains summary information for mc8, the five most similar instances to mc8 according to the MIC, and the five most similar instances to mc8 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance mc8 [MIPLIB] F. Ortega, L. Wolsey Fixed cost network flow problems 0.000000 -
MIC Top 5 g200x740 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.485792 1
50v-10 [MIPLIB] Serge Bisaillon Network loading instance. Solved using ug[SCIP/spx], a distributed massively parallel version of SCIP run on 2,000 cores at the HLRN-II super computer facility. 0.597194 2
dws008-03 [MIPLIB] Philipp Leise MILP for designing a decentralized water supply system for drinking water in skyscrapers. The nonlinear characteristics of pumps are integrated with the help of an aggregated convex combination. The instances vary in the total number of floors and load scenarios for water demand. First stage variables represent the layout decisions, second stage variables represent the operational parameters, such as the continuous rotating speed of pumps or binary switching decisions. 0.631671 3
dws012-03 [MIPLIB] Philipp Leise MILP for designing a decentralized water supply system for drinking water in skyscrapers. The nonlinear characteristics of pumps are integrated with the help of an aggregated convex combination. The instances vary in the total number of floors and load scenarios for water demand. First stage variables represent the layout decisions, second stage variables represent the operational parameters, such as the continuous rotating speed of pumps or binary switching decisions. 0.634494 4
dws012-02 [MIPLIB] Philipp Leise MILP for designing a decentralized water supply system for drinking water in skyscrapers. The nonlinear characteristics of pumps are integrated with the help of an aggregated convex combination. The instances vary in the total number of floors and load scenarios for water demand. First stage variables represent the layout decisions, second stage variables represent the operational parameters, such as the continuous rotating speed of pumps or binary switching decisions. 0.644333 5
MIPLIB Top 5 p500x2988d [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.808462 21
beasleyC3 [MIPLIB] F. Ortega, L. Wolsey Fixed cost network flow problems 0.990666 75
brasil [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.069049 117
mc7* [MIPLIB] F. Ortega, L. Wolsey Fixed cost network flow problems 0.000000* 0*
mc11* [MIPLIB] F. Ortega, L. Wolsey Fixed cost network flow problems 0.000000* 0*


mc8: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: mc
Assigned Model Group Rank/ISS in the MIC: 1 / 0.0

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: mc Model group: pizza Model group: neos-pseudoapplication-74 Model group: dws Model group: noip
Name mc pizza neos-pseudoapplication-74 dws noip
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 / 0.000 2 / 1.215 3 / 1.273 4 / 1.334 5 / 1.368

Model Group Summary

The table below contains summary information for the five most similar model groups to mc8 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 mc F. Ortega, L. Wolsey Fixed cost network flow problems 0.000000 1
pizza 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 1.215328 2
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.272911 3
dws Philipp Leise MILP for designing a decentralized water supply system for drinking water in skyscrapers. The nonlinear characteristics of pumps are integrated with the help of an aggregated convex combination. The models vary in the total number of floors and load scenarios for water demand. First stage variables represent the layout decisions, second stage variables represent the operational parameters, such as the continuous rotating speed of pumps or binary switching decisions. 1.333518 4
noip Christopher Hojny integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists 1.367598 5


* mc7 is a duplicate of mc8. mc11 is a duplicate of mc8.