noswot: Instance-to-Instance Comparison Results

Type: Instance
Submitter: J. Gregory, L. Schrage
Description: Unknown application
MIPLIB Entry

Parent Instance (noswot)

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

noswot Raw noswot Decomposed noswot Composite of MIC top 5 noswot Composite of MIPLIB top 5 noswot 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.
enlight8 decomposed scpm1 decomposed stein15inf decomposed gen-ip016 decomposed gen-ip002 decomposed
Name enlight8 [MIPLIB] scpm1 [MIPLIB] stein15inf [MIPLIB] gen-ip016 [MIPLIB] gen-ip002 [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 / 0.910 2 / 0.949 3 / 0.976 4 / 0.993 5 / 1.007
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
enlight8 raw scpm1 raw stein15inf raw gen-ip016 raw gen-ip002 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.
milo-v12-6-r1-58-1 decomposed milo-v12-6-r1-75-1 decomposed milo-v13-4-3d-4-0 decomposed milo-v12-6-r2-40-1 decomposed milo-v13-4-3d-3-0 decomposed
Name milo-v12-6-r1-58-1 [MIPLIB] milo-v12-6-r1-75-1 [MIPLIB] milo-v13-4-3d-4-0 [MIPLIB] milo-v12-6-r2-40-1 [MIPLIB] milo-v13-4-3d-3-0 [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.
108 / 1.246 118 / 1.257 249 / 1.333 269 / 1.344 425 / 1.440
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
milo-v12-6-r1-58-1 raw milo-v12-6-r1-75-1 raw milo-v13-4-3d-4-0 raw milo-v12-6-r2-40-1 raw milo-v13-4-3d-3-0 raw

Instance Summary

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

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance noswot [MIPLIB] J. Gregory, L. Schrage Unknown application 0.000000 -
MIC Top 5 enlight8 [MIPLIB] A. Zymolka Model to solve instance of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 0.910008 1
scpm1 [MIPLIB] Shunji Umetani This is a random test instance 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 instances. We have also generated reduced instances 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 instance generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark 0.948536 2
stein15inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.976279 3
gen-ip016 [MIPLIB] Simon Bowly Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. Solved with XPRESS in a few seconds. 0.992632 4
gen-ip002 [MIPLIB] Simon Bowly Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. 1.007208 5
MIPLIB Top 5 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. 1.245852 108
milo-v12-6-r1-75-1 [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. 1.257162 118
milo-v13-4-3d-4-0 [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. 1.332550 249
milo-v12-6-r2-40-1 [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. 1.344069 269
milo-v13-4-3d-3-0 [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. 1.440239 425


noswot: 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: scp Model group: markshare Model group: stein Model group: neos-pseudoapplication-74 Model group: enlight
Name scp markshare stein neos-pseudoapplication-74 enlight
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 / 1.171 2 / 1.306 3 / 1.325 4 / 1.403 5 / 1.416

Model Group Summary

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

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 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 1.170790 1
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.305754 2
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.324643 3
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.402671 4
enlight A. Zymolka Model to solve model of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 1.415854 5