neos-5157194-moruya: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Jeff Linderoth
Description: Claimed to be infeasible by most solvers. A solution is available that is not feasible in the strict sense.
MIPLIB Entry

Parent Instance (neos-5157194-moruya)

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

neos-5157194-moruya Raw neos-5157194-moruya Decomposed neos-5157194-moruya Composite of MIC top 5 neos-5157194-moruya Composite of MIPLIB top 5 neos-5157194-moruya 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.
gen-ip054 decomposed f2gap40400 decomposed scpm1 decomposed gen-ip002 decomposed markshare2 decomposed
Name gen-ip054 [MIPLIB] f2gap40400 [MIPLIB] scpm1 [MIPLIB] gen-ip002 [MIPLIB] markshare2 [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 / 1.199 2 / 1.237 3 / 1.247 4 / 1.299 5 / 1.299
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
gen-ip054 raw f2gap40400 raw scpm1 raw gen-ip002 raw markshare2 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.
neos-3065804-namu decomposed neos-4230265-orari decomposed Test3 decomposed neos-585192 decomposed neos-585467 decomposed
Name neos-3065804-namu [MIPLIB] neos-4230265-orari [MIPLIB] Test3 [MIPLIB] neos-585192 [MIPLIB] neos-585467 [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.
157 / 1.539 311 / 1.599 414 / 1.657 662 / 1.813 682 / 1.838
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-3065804-namu raw neos-4230265-orari raw Test3 raw neos-585192 raw neos-585467 raw

Instance Summary

The table below contains summary information for neos-5157194-moruya, the five most similar instances to neos-5157194-moruya according to the MIC, and the five most similar instances to neos-5157194-moruya according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-5157194-moruya [MIPLIB] Jeff Linderoth Claimed to be infeasible by most solvers. A solution is available that is not feasible in the strict sense. 0.000000 -
MIC Top 5 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. 1.199126 1
f2gap40400 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.236567 2
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 1.247035 3
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. 1.298882 4
markshare2 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 1.299467 5
MIPLIB Top 5 neos-3065804-namu [MIPLIB] Jeff Linderoth (None provided) 1.538513 157
neos-4230265-orari [MIPLIB] Jeff Linderoth (None provided) 1.598804 311
Test3 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.657345 414
neos-585192 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.813478 662
neos-585467 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.838257 682


neos-5157194-moruya: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-41
Assigned Model Group Rank/ISS in the MIC: 1 / 1.469

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-41 Model group: scp Model group: neos-pseudoapplication-74 Model group: markshare Model group: neos-pseudoapplication-21
Name neos-pseudoapplication-41 scp neos-pseudoapplication-74 markshare neos-pseudoapplication-21
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 / 1.469 2 / 1.667 3 / 1.729 4 / 1.742 5 / 1.868

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-5157194-moruya according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-41 Jeff Linderoth (None provided) 1.469008 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 1.666502 2
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.728962 3
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.741678 4
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.868380 5