umts: Instance-to-Instance Comparison Results

Type: Instance
Submitter: C. Polo
Description: Telecommunications network model
MIPLIB Entry

Parent Instance (umts)

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

umts Raw umts Decomposed umts Composite of MIC top 5 umts Composite of MIPLIB top 5 umts 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.
mappingmesh3x3mpeg2i decomposed neos-3048764-nadi decomposed tr12-30 decomposed neos2 decomposed ran12x21 decomposed
Name mappingmesh3x3mpeg2i [MIPLIB] neos-3048764-nadi [MIPLIB] tr12-30 [MIPLIB] neos2 [MIPLIB] ran12x21 [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 / 0.592 2 / 0.641 3 / 0.653 4 / 0.663 5 / 0.673
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
mappingmesh3x3mpeg2i raw neos-3048764-nadi raw tr12-30 raw neos2 raw ran12x21 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.
gus-sch decomposed comp08-2idx decomposed neos-3682128-sandon decomposed tw-myciel4 decomposed aligninq decomposed
Name gus-sch [MIPLIB] comp08-2idx [MIPLIB] neos-3682128-sandon [MIPLIB] tw-myciel4 [MIPLIB] aligninq [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.
28 / 0.743 120 / 0.933 624 / 1.698 659 / 1.751 667 / 1.761
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
gus-sch raw comp08-2idx raw neos-3682128-sandon raw tw-myciel4 raw aligninq raw

Instance Summary

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

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance umts [MIPLIB] C. Polo Telecommunications network model 0.000000 -
MIC Top 5 mappingmesh3x3mpeg2i [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 0.591631 1
neos-3048764-nadi [MIPLIB] Jeff Linderoth (None provided) 0.640848 2
tr12-30 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.652700 3
neos2 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.662701 4
ran12x21 [MIPLIB] J. Aronson Fixed charge transportation problem 0.672696 5
MIPLIB Top 5 gus-sch [MIPLIB] Alexandra M. Newman course scheduling model 0.742919 28
comp08-2idx [MIPLIB] Matias Sørensen Instances comp01-21 of curriculum based course timetabling from the International Timetabling Competition 2007. These are time-assignment models (Stage I of the decomposed model), which are smaller than the full model, but still hard to solve. 0.932581 120
neos-3682128-sandon [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 1.697877 624
tw-myciel4 [MIPLIB] Arie Koster Model to compute the treewidth of the Mycielski-4 instance from the DIMACS graph coloring database. Solved in June 2013 by CPLEX 12.5.1 (12 threads) in about 66 hours. The solving was performed in two steps: first solving with 50 GB tree memory limit (took 11307.42 seconds), after that, setting the tree memory limit to 80 GB and switching to depth first search (took 226152.14 seconds). 1.751252 659
aligninq [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.760962 667


umts: 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: mapping Model group: nus-prxy Model group: seqsolve Model group: radiation Model group: graphs
Name mapping nus-prxy seqsolve radiation graphs
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 / 0.947 2 / 1.064 3 / 1.135 4 / 1.156 5 / 1.169

Model Group Summary

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

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 mapping 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 0.947460 1
nus-prxy MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.063838 2
seqsolve Irv Lustig The 3 problems in this group (seqsolve1-seqsolve3) represent a hierarchical optimization process, which is derived from a customer problem for assigning people to sites into blocks of time on days of the week. The specialty of this submission is that the best known solution for seqsolveX can be used as a MIP start for seqsolveX+1. For a description of the connections between the problems, please refer to the README.txt contained in the model data for this submission, which also includes MIP start files and a Gurobi log file. 1.135251 3
radiation Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 1.156359 4
graphs Michael Bastubbe Packing Cuts in Undirected Graphs. Models are described in 4.1. 1.168855 5