neos-3754480-nidda: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Jeff Linderoth
Description: (None provided)
MIPLIB Entry

Parent Instance (neos-3754480-nidda)

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

neos-3754480-nidda Raw neos-3754480-nidda Decomposed neos-3754480-nidda Composite of MIC top 5 neos-3754480-nidda Composite of MIPLIB top 5 neos-3754480-nidda 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 g503inf decomposed markshare2 decomposed neos-5140963-mincio decomposed markshare1 decomposed
Name gen-ip054 [MIPLIB] g503inf [MIPLIB] markshare2 [MIPLIB] neos-5140963-mincio [MIPLIB] markshare1 [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 / 1.016 2 / 1.048 3 / 1.067 4 / 1.067 5 / 1.072
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
gen-ip054 raw g503inf raw markshare2 raw neos-5140963-mincio raw markshare1 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.
exp-1-500-5-5 decomposed tr12-30 decomposed bg512142 decomposed dg012142 decomposed set3-10 decomposed
Name exp-1-500-5-5 [MIPLIB] tr12-30 [MIPLIB] bg512142 [MIPLIB] dg012142 [MIPLIB] set3-10* [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.
186 / 1.295 194 / 1.302 364 / 1.420 657 / 1.644 426* / 1.453*
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
exp-1-500-5-5 raw tr12-30 raw bg512142 raw dg012142 raw set3-10 raw

Instance Summary

The table below contains summary information for neos-3754480-nidda, the five most similar instances to neos-3754480-nidda according to the MIC, and the five most similar instances to neos-3754480-nidda according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-3754480-nidda [MIPLIB] Jeff Linderoth (None provided) 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. 1.015749 1
g503inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.048399 2
markshare2 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 1.067237 3
neos-5140963-mincio [MIPLIB] Jeff Linderoth (None provided) 1.067400 4
markshare1 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 1.071608 5
MIPLIB Top 5 exp-1-500-5-5 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.295030 186
tr12-30 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.301917 194
bg512142 [MIPLIB] A. Miller Multilevel lot-sizing instance. 1.419607 364
dg012142 [MIPLIB] A. Miller Multilevel lot-sizing instance This instance was solved by using 256 cores of the distributed-memory supercomputer Fujitsu PRIMERGY RX200S5 (http://www.ism.ac.jp/computer_system/eng/sc/super.html). The problem was solved by ParaSCIP in approximately 43 hours. 1.644433 657
set3-10* [MIPLIB] Kerem Akartunali Multi-item lot-sizing with backlogging. Solved by SCIP 3.1.1 parallelized by UG 0.7.5 linked to CPLEX 12.6 as an LP solver on HLRN III (https://www.hlrn.de/home/view/System3/CrayHardware). Due to time limit restrictions, five repeated runs, each starting from the checkpointing file of the previous run, were done. Each run had a time limit of 12 hours while using 6144 (runs 1, 3, and 4) or 3072 cores (run 2 and 5). 1.452817* 426*


neos-3754480-nidda: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-107
Assigned Model Group Rank/ISS in the MIC: 1 / 0.000

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-107 Model group: scp Model group: neos-pseudoapplication-109 Model group: markshare Model group: neos-pseudoapplication-74
Name neos-pseudoapplication-107 scp neos-pseudoapplication-109 markshare neos-pseudoapplication-74
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 / 0.001 2 / 1.459 3 / 1.525 4 / 1.616 5 / 1.637

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-3754480-nidda according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-107 Jeff Linderoth (None provided) 0.000977 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 1.459235 2
neos-pseudoapplication-109 Jeff Linderoth (None provided) 1.524920 3
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.615657 4
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.636861 5


* set3-10 is a duplicate of set3-20.