supportcase43: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Domenico Salvagnin
Description: Instance coming from IBM developerWorks forum with unknown application.
MIPLIB Entry

Parent Instance (supportcase43)

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

supportcase43 Raw supportcase43 Decomposed supportcase43 Composite of MIC top 5 supportcase43 Composite of MIPLIB top 5 supportcase43 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.
proteindesign122trx11p8 decomposed proteindesign121pgb11p9 decomposed proteindesign121hz512p19 decomposed proteindesign121hz512p9 decomposed ns930473 decomposed
Name proteindesign122trx11p8 [MIPLIB] proteindesign121pgb11p9 [MIPLIB] proteindesign121hz512p19 [MIPLIB] proteindesign121hz512p9 [MIPLIB] ns930473 [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 / 0.701 2 / 0.705 3 / 0.708 4 / 0.712 5 / 0.752
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
proteindesign122trx11p8 raw proteindesign121pgb11p9 raw proteindesign121hz512p19 raw proteindesign121hz512p9 raw ns930473 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.
neos-872648 decomposed neos-873061 decomposed neos-3755335-nizao decomposed neos-3759587-noosa decomposed in decomposed
Name neos-872648 [MIPLIB] neos-873061 [MIPLIB] neos-3755335-nizao [MIPLIB] neos-3759587-noosa [MIPLIB] neos-872648** [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.
190 / 1.431 194 / 1.433 785 / 1.956 800 / 2.002 N.A.** / N.A.**
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-872648 raw neos-873061 raw neos-3755335-nizao raw neos-3759587-noosa raw in raw

Instance Summary

The table below contains summary information for supportcase43, the five most similar instances to supportcase43 according to the MIC, and the five most similar instances to supportcase43 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance supportcase43 [MIPLIB] Domenico Salvagnin Instance coming from IBM developerWorks forum with unknown application. 0.000000 -
MIC Top 5 proteindesign122trx11p8 [MIPLIB] 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 0.701222 1
proteindesign121pgb11p9 [MIPLIB] 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 0.705013 2
proteindesign121hz512p19 [MIPLIB] 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 0.707895 3
proteindesign121hz512p9 [MIPLIB] 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 0.711647 4
ns930473 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.751606 5
MIPLIB Top 5 neos-872648 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.430623 190
neos-873061 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.433202 194
neos-3755335-nizao [MIPLIB] Jeff Linderoth (None provided) 1.955940 785
neos-3759587-noosa [MIPLIB] Jeff Linderoth (None provided) 2.001814 800
neos-872648** [MIPLIB] Armin Fuegenschuh Packing of paths, multicommodity flow formulation. Solved in December 2013 by Gurobi development version. N.A.** N.A.**


supportcase43: 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: proteindesign Model group: scp Model group: neos-pseudoapplication-95 Model group: neos-pseudoapplication-74 Model group: neos-pseudoapplication-77
Name proteindesign scp neos-pseudoapplication-95 neos-pseudoapplication-74 neos-pseudoapplication-77
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 / 1.153 2 / 1.733 3 / 1.858 4 / 1.870 5 / 1.882

Model Group Summary

The table below contains summary information for the five most similar model groups to supportcase43 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 proteindesign 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 1.153012 1
scp Shunji Umetani This is a random test model generator for SCP using the scheme of the following paper, namely the column cost c[j] are integer randomly generated from [1,100]; every column covers at least one row; and every row is covered by at least two columns. see reference: E. Balas and A. Ho, Set covering algorithms using cutting planes, heuristics, and subgradient optimization: A computational study, Mathematical Programming, 12 (1980), 37-60. We have newly generated Classes I-N with the following parameter values, where each class has five models. We have also generated reduced models by a standard pricing method in the following paper: S. Umetani and M. Yagiura, Relaxation heuristics for the set covering problem, Journal of the Operations Research Society of Japan, 50 (2007), 350-375. You can obtain the model generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark 1.733060 2
neos-pseudoapplication-95 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.858205 3
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.870368 4
neos-pseudoapplication-77 Jeff Linderoth (None provided) 1.882389 5


** in could not be decomposed by GCG, and was not included in our dataset.