loopha13: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Hamideh
Description: This is a Gams model which uses CPLEX as a solver.
MIPLIB Entry

Parent Instance (loopha13)

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

loopha13 Raw loopha13 Decomposed loopha13 Composite of MIC top 5 loopha13 Composite of MIPLIB top 5 loopha13 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.
neos-1425699 decomposed milo-v12-6-r1-58-1 decomposed snp-04-052-052 decomposed gr4x6 decomposed g503inf decomposed
Name neos-1425699 [MIPLIB] milo-v12-6-r1-58-1 [MIPLIB] snp-04-052-052 [MIPLIB] gr4x6 [MIPLIB] g503inf [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 / 0.796 2 / 0.856 3 / 0.857 4 / 0.858 5 / 0.859
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-1425699 raw milo-v12-6-r1-58-1 raw snp-04-052-052 raw gr4x6 raw g503inf 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.
app1-1 decomposed istanbul-no-cutoff decomposed net12 decomposed ic97_tension decomposed csched007 decomposed
Name app1-1 [MIPLIB] istanbul-no-cutoff [MIPLIB] net12 [MIPLIB] ic97_tension [MIPLIB] csched007 [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.
47 / 0.983 137 / 1.098 238 / 1.201 432 / 1.425 712 / 1.846
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
app1-1 raw istanbul-no-cutoff raw net12 raw ic97_tension raw csched007 raw

Instance Summary

The table below contains summary information for loopha13, the five most similar instances to loopha13 according to the MIC, and the five most similar instances to loopha13 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance loopha13 [MIPLIB] Hamideh This is a Gams model which uses CPLEX as a solver. 0.000000 -
MIC Top 5 neos-1425699 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.796245 1
milo-v12-6-r1-58-1 [MIPLIB] Tamas Terlaky The models come from structural design optimization where the objective is to minimize the total weight of 2 and 3 dimensional cantilevers. The 2D examples are simpler, and GuRobi can solve the 40_1 and 58_1 instances, while struggles with 75_1. The 3D examples are more challenging. The x_0 and x_1 models are two different modeling of the same identical problems, so their optimal value is the same. The 1_x and 2_x problems are solved by GuRoBi, the 3_x and 4_x are not solved in reasonable time. 0.855916 2
snp-04-052-052 [MIPLIB] Gerald Gamrath Supply network planning problems. 0.857489 3
gr4x6 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.857892 4
g503inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.858791 5
MIPLIB Top 5 app1-1 [MIPLIB] Emilie Danna The archive contains 5 instances coming from 3 applications.app1 is interesting because the continuous variables (w) drive the model.Some solvers have numerical problems on app2 models: some solutions found violate the constraints by a small amount.app2 and app3 models are easy to solve. But they don't solve fast enough for the time limit I have in mind so I'd like to propose them for inclusion in MIPLIB. 0.982569 47
istanbul-no-cutoff [MIPLIB] Utz-Uwe Haus Exact MILP reformulation using binary decision diagrams to obtain scenario bundles of 2-stage stochastic expected shortest path and expected maximum flow problem with decision dependent scenario probabilities. Notes: * very few binary variables * for each fixing of the binaries a system of equations computing conditioned probabilities remains 1.097691 137
net12 [MIPLIB] P. Belotti Network design instance 1.200771 238
ic97_tension [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.425109 432
csched007 [MIPLIB] Tallys Yunes Cumulative scheduling problem instance 1.846053 712


loopha13: 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: neos-pseudoapplication-74 Model group: mc Model group: pizza Model group: neos-pseudoapplication-2 Model group: noip
Name neos-pseudoapplication-74 mc pizza neos-pseudoapplication-2 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 / 1.247 2 / 1.318 3 / 1.320 4 / 1.337 5 / 1.477

Model Group Summary

The table below contains summary information for the five most similar model groups to loopha13 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.247066 1
mc F. Ortega, L. Wolsey Fixed cost network flow problems 1.318399 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 1.320238 3
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.337343 4
noip Christopher Hojny integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists 1.476957 5