ns2071214: Instance-to-Instance Comparison Results

Type: Instance
Submitter: NEOS Server Submission
Description: Imported from the MIPLIB2010 submissions.
MIPLIB Entry

Parent Instance (ns2071214)

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

ns2071214 Raw ns2071214 Decomposed ns2071214 Composite of MIC top 5 ns2071214 Composite of MIPLIB top 5 ns2071214 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.
scpm1 decomposed gen-ip054 decomposed gen-ip002 decomposed neos-1367061 decomposed stein45inf decomposed
Name scpm1 [MIPLIB] gen-ip054 [MIPLIB] gen-ip002 [MIPLIB] neos-1367061 [MIPLIB] stein45inf [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 / 1.240 2 / 1.245 3 / 1.251 4 / 1.256 5 / 1.257
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
scpm1 raw gen-ip054 raw gen-ip002 raw neos-1367061 raw stein45inf 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.
ns930473 decomposed neos-5221106-oparau decomposed neos-2294525-abba decomposed neos-4338804-snowy decomposed neos-5182409-nasivi decomposed
Name ns930473 [MIPLIB] neos-5221106-oparau [MIPLIB] neos-2294525-abba [MIPLIB] neos-4338804-snowy [MIPLIB] neos-5182409-nasivi [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.
115 / 1.518 299 / 1.580 355 / 1.602 615 / 1.725 726 / 1.835
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
ns930473 raw neos-5221106-oparau raw neos-2294525-abba raw neos-4338804-snowy raw neos-5182409-nasivi raw

Instance Summary

The table below contains summary information for ns2071214, the five most similar instances to ns2071214 according to the MIC, and the five most similar instances to ns2071214 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance ns2071214 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 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 1.240158 1
gen-ip054 [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. 1.244888 2
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. 1.250606 3
neos-1367061 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.255583 4
stein45inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.257076 5
MIPLIB Top 5 ns930473 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.517697 115
neos-5221106-oparau [MIPLIB] Hans Mittelmann Seem to be VRP output from 2-hour runs of Gurobi on 12 threads is included 1.580301 299
neos-2294525-abba [MIPLIB] Jeff Linderoth (None provided) 1.602449 355
neos-4338804-snowy [MIPLIB] Jeff Linderoth (None provided) 1.725154 615
neos-5182409-nasivi [MIPLIB] Jeff Linderoth (None provided) 1.835252 726


ns2071214: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-46
Assigned Model Group Rank/ISS in the MIC: 227 / 3.852

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: stein Model group: neos-pseudoapplication-21 Model group: markshare Model group: generated
Name scp stein neos-pseudoapplication-21 markshare generated
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 / 1.702 2 / 1.764 3 / 1.776 4 / 1.831 5 / 2.004

Model Group Summary

The table below contains summary information for the five most similar model groups to ns2071214 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 1.702139 1
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.764028 2
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.776442 3
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.830752 4
generated Simon Bowly Randomly generated integer and binary programming models. These results are part of an early phase of work aimed at generating diverse and challenging MIP models for experimental testing. We have aimed to produce small integer and binary programming models which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. 2.003927 5