dws012-03: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Philipp Leise
Description: 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.
MIPLIB Entry

Parent Instance (dws012-03)

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

dws012-03 Raw dws012-03 Decomposed dws012-03 Composite of MIC top 5 dws012-03 Composite of MIPLIB top 5 dws012-03 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.
dws008-03 decomposed dws012-02 decomposed dws012-01 decomposed ran13x13 decomposed dws008-01 decomposed
Name dws008-03 [MIPLIB] dws012-02 [MIPLIB] dws012-01 [MIPLIB] ran13x13 [MIPLIB] dws008-01 [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 / 0.180 2 / 0.261 3 / 0.490 4 / 0.631 5 / 0.633
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
dws008-03 raw dws012-02 raw dws012-01 raw ran13x13 raw dws008-01 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.
dws008-03 decomposed dws012-02 decomposed dws012-01 decomposed dws008-01 decomposed uccase10 decomposed
Name dws008-03 [MIPLIB] dws012-02 [MIPLIB] dws012-01 [MIPLIB] dws008-01 [MIPLIB] uccase10 [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 / 0.180 2 / 0.261 3 / 0.490 5 / 0.633 746 / 1.892
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
dws008-03 raw dws012-02 raw dws012-01 raw dws008-01 raw uccase10 raw

Instance Summary

The table below contains summary information for dws012-03, the five most similar instances to dws012-03 according to the MIC, and the five most similar instances to dws012-03 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance 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. 0.000000 -
MIC Top 5 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. 0.180482 1
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. 0.260517 2
dws012-01 [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. 0.489915 3
ran13x13 [MIPLIB] J. Aronson Fixed charge transportation problem 0.630661 4
dws008-01 [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. 0.632620 5
MIPLIB Top 5 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. 0.180482 1
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. 0.260517 2
dws012-01 [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. 0.489915 3
dws008-01 [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. 0.632620 5
uccase10 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 1.891788 746


dws012-03: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: dws
Assigned Model Group Rank/ISS in the MIC: 2 / 1.019

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: dws Model group: pizza Model group: noip Model group: neos-pseudoapplication-74
Name mc dws pizza noip neos-pseudoapplication-74
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 / 0.864 2 / 1.020 3 / 1.244 4 / 1.276 5 / 1.306

Model Group Summary

The table below contains summary information for the five most similar model groups to dws012-03 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 mc F. Ortega, L. Wolsey Fixed cost network flow problems 0.863952 1
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. 1.019975 2
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 1.243630 3
noip Christopher Hojny integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists 1.276330 4
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.306110 5