b-ball: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Christopher Cullenbine
Description: It is a very simple problem, yet CPLEX will not close the MIPGAP. CPLEX seems to get stuck in a loop or something.
MIPLIB Entry

Parent Instance (b-ball)

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

b-ball Raw b-ball Decomposed b-ball Composite of MIC top 5 b-ball Composite of MIPLIB top 5 b-ball 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.
stein9inf decomposed enlight4 decomposed stein15inf decomposed flugplinf decomposed g503inf decomposed
Name stein9inf [MIPLIB] enlight4 [MIPLIB] stein15inf [MIPLIB] flugplinf [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 / 0.656 2 / 0.660 3 / 0.679 4 / 0.705 5 / 0.721
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
stein9inf raw enlight4 raw stein15inf raw flugplinf 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.
supportcase16 decomposed supportcase14 decomposed neos-1330346 decomposed csched008 decomposed csched007 decomposed
Name supportcase16 [MIPLIB] supportcase14 [MIPLIB] neos-1330346 [MIPLIB] csched008 [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.
15 / 0.867 177 / 1.121 383 / 1.316 601 / 1.548 646 / 1.607
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
supportcase16 raw supportcase14 raw neos-1330346 raw csched008 raw csched007 raw

Instance Summary

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

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance b-ball [MIPLIB] Christopher Cullenbine It is a very simple problem, yet CPLEX will not close the MIPGAP. CPLEX seems to get stuck in a loop or something. 0.000000 -
MIC Top 5 stein9inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.656374 1
enlight4 [MIPLIB] A. Zymolka Model to solve instance of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 0.660369 2
stein15inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.679381 3
flugplinf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.704936 4
g503inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.721462 5
MIPLIB Top 5 supportcase16 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 0.866888 15
supportcase14 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 1.121287 177
neos-1330346 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.315826 383
csched008 [MIPLIB] Tallys Yunes Cumulative scheduling problem instance 1.547738 601
csched007 [MIPLIB] Tallys Yunes Cumulative scheduling problem instance 1.607144 646


b-ball: 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: neos-pseudoapplication-109 Model group: scp Model group: markshare Model group: stein
Name neos-pseudoapplication-74 neos-pseudoapplication-109 scp markshare stein
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 / 1.114 2 / 1.235 3 / 1.248 4 / 1.343 5 / 1.395

Model Group Summary

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

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.114009 1
neos-pseudoapplication-109 Jeff Linderoth (None provided) 1.235259 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 1.248070 3
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.343426 4
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.394690 5