khb05250: Instance-to-Instance Comparison Results

Type: Instance
Submitter: MIPLIB submission pool
Description: Imported from the MIPLIB2010 submissions.
MIPLIB Entry

Parent Instance (khb05250)

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

khb05250 Raw khb05250 Decomposed khb05250 Composite of MIC top 5 khb05250 Composite of MIPLIB top 5 khb05250 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.
fhnw-sq2 decomposed fhnw-sq3 decomposed gt2 decomposed opt1217 decomposed supportcase3 decomposed
Name fhnw-sq2 [MIPLIB] fhnw-sq3 [MIPLIB] gt2 [MIPLIB] opt1217 [MIPLIB] supportcase3 [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 / 0.750 2 / 0.818 3 / 0.929 4 / 0.953 5 / 0.957
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
fhnw-sq2 raw fhnw-sq3 raw gt2 raw opt1217 raw supportcase3 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.
dcmulti decomposed neos-848198 decomposed neos-3762025-ognon decomposed app3 decomposed neos-3703351-marne decomposed
Name dcmulti [MIPLIB] neos-848198 [MIPLIB] neos-3762025-ognon [MIPLIB] app3 [MIPLIB] neos-3703351-marne [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.
53 / 1.182 370 / 1.440 400 / 1.469 426 / 1.484 712 / 1.745
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
dcmulti raw neos-848198 raw neos-3762025-ognon raw app3 raw neos-3703351-marne raw

Instance Summary

The table below contains summary information for khb05250, the five most similar instances to khb05250 according to the MIC, and the five most similar instances to khb05250 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance khb05250 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 fhnw-sq2 [MIPLIB] Simon Felix Combinatorial toy fesability problem: Magic square. Instances 1 & 2 are feasible, instance 3 is unknown. Reported to be solved after 46883 seconds with ParaSCIP using 72 cores. 0.750243 1
fhnw-sq3 [MIPLIB] Simon Felix Combinatorial toy fesability problem: Magic square. Instances 1 & 2 are feasible, instance 3 is unknown. 0.817746 2
gt2 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.929153 3
opt1217 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.952687 4
supportcase3 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application Solved with ParaSCIP in 1551 seconds with 71 solvers(72 cores). 0.957369 5
MIPLIB Top 5 dcmulti [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.181885 53
neos-848198 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.439531 370
neos-3762025-ognon [MIPLIB] Jeff Linderoth (None provided) 1.469425 400
app3 [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. 1.483753 426
neos-3703351-marne [MIPLIB] Jeff Linderoth (None provided) 1.745126 712


khb05250: 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: fhnw-sq Model group: neos-pseudoapplication-74 Model group: scp Model group: pfour Model group: neos-pseudoapplication-40
Name fhnw-sq neos-pseudoapplication-74 scp pfour neos-pseudoapplication-40
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 / 1.398 2 / 1.410 3 / 1.462 4 / 1.521 5 / 1.533

Model Group Summary

The table below contains summary information for the five most similar model groups to khb05250 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 fhnw-sq Simon Felix Combinatorial toy fesability problem: Magic square. Models 1 & 2 are feasible, model 3 is unknown. 1.397722 1
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.410246 2
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 1.462336 3
pfour MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.521326 4
neos-pseudoapplication-40 Jeff Linderoth (None provided) 1.532987 5