supportcase17: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Michael Winkler
Description: MIP instances collected from Gurobi forum with unknown application
MIPLIB Entry

Parent Instance (supportcase17)

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

supportcase17 Raw supportcase17 Decomposed supportcase17 Composite of MIC top 5 supportcase17 Composite of MIPLIB top 5 supportcase17 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.
prod1 decomposed gt2 decomposed neos-5192052-neckar decomposed g503inf decomposed prod2 decomposed
Name prod1 [MIPLIB] gt2 [MIPLIB] neos-5192052-neckar [MIPLIB] g503inf [MIPLIB] prod2 [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 / 1.070 2 / 1.136 3 / 1.137 4 / 1.152 5 / 1.168
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
prod1 raw gt2 raw neos-5192052-neckar raw g503inf raw prod2 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.
radiationm18-12-05 decomposed piperout-03 decomposed piperout-08 decomposed piperout-27 decomposed nag decomposed
Name radiationm18-12-05 [MIPLIB] piperout-03 [MIPLIB] piperout-08 [MIPLIB] piperout-27 [MIPLIB] nag [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.
171 / 1.431 587 / 1.757 655 / 1.835 721 / 1.948 858 / 2.329
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
radiationm18-12-05 raw piperout-03 raw piperout-08 raw piperout-27 raw nag raw

Instance Summary

The table below contains summary information for supportcase17, the five most similar instances to supportcase17 according to the MIC, and the five most similar instances to supportcase17 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance supportcase17 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 0.000000 -
MIC Top 5 prod1 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.070416 1
gt2 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.136292 2
neos-5192052-neckar [MIPLIB] Jeff Linderoth (None provided) 1.136542 3
g503inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.152338 4
prod2 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.167879 5
MIPLIB Top 5 radiationm18-12-05 [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 1.431006 171
piperout-03 [MIPLIB] Gleb Belov Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing 1.757497 587
piperout-08 [MIPLIB] Gleb Belov Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing 1.834706 655
piperout-27 [MIPLIB] Gleb Belov Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing 1.948242 721
nag [MIPLIB] N. Shenoy Unknown Application from COR@L 2.328531 858


supportcase17: 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: scp Model group: markshare Model group: enlight Model group: neos-pseudoapplication-95
Name neos-pseudoapplication-74 scp markshare enlight neos-pseudoapplication-95
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 / 1.352 2 / 1.682 3 / 1.721 4 / 1.771 5 / 1.790

Model Group Summary

The table below contains summary information for the five most similar model groups to supportcase17 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.351822 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 1.681903 2
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.721450 3
enlight A. Zymolka Model to solve model of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 1.770763 4
neos-pseudoapplication-95 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.789794 5