app3: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Emilie Danna
Description: 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.
MIPLIB Entry

Parent Instance (app3)

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

app3 Raw app3 Decomposed app3 Composite of MIC top 5 app3 Composite of MIPLIB top 5 app3 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.
ponderthis0517-inf decomposed 10teams decomposed neos-1599274 decomposed ger50-17-ptp-pop-6t decomposed mzzv42z decomposed
Name ponderthis0517-inf [MIPLIB] 10teams [MIPLIB] neos-1599274 [MIPLIB] ger50-17-ptp-pop-6t [MIPLIB] mzzv42z [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 / 1.033 2 / 1.035 3 / 1.055 4 / 1.064 5 / 1.178
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
ponderthis0517-inf raw 10teams raw neos-1599274 raw ger50-17-ptp-pop-6t raw mzzv42z 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.
khb05250 decomposed bmoipr2 decomposed dcmulti decomposed neos-4954672-berkel decomposed neos-3762025-ognon decomposed
Name khb05250 [MIPLIB] bmoipr2 [MIPLIB] dcmulti [MIPLIB] neos-4954672-berkel [MIPLIB] neos-3762025-ognon [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.
62 / 1.484 267 / 1.770 347 / 1.824 543 / 1.933 675 / 1.991
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
khb05250 raw bmoipr2 raw dcmulti raw neos-4954672-berkel raw neos-3762025-ognon raw

Instance Summary

The table below contains summary information for app3, the five most similar instances to app3 according to the MIC, and the five most similar instances to app3 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance 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. 0.000000 -
MIC Top 5 ponderthis0517-inf [MIPLIB] Rob Pratt Infeasible version of IBM Ponder This problem (with 52 characters and no spaces) from May 2017: https://www.research.ibm.com/haifa/ponderthis/challenges/May2017.html 1.033342 1
10teams [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.035143 2
neos-1599274 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.054786 3
ger50-17-ptp-pop-6t [MIPLIB] C. Raack Multi-layer network design problem using a link-flow formulation over a path-flow formulation. 1.064011 4
mzzv42z [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.177852 5
MIPLIB Top 5 khb05250 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.483753 62
bmoipr2 [MIPLIB] Sean MacDermant BMO IPR2 Logistics 1.769540 267
dcmulti [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.823699 347
neos-4954672-berkel [MIPLIB] Jeff Linderoth (None provided) 1.933194 543
neos-3762025-ognon [MIPLIB] Jeff Linderoth (None provided) 1.990773 675


app3: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: app
Assigned Model Group Rank/ISS in the MIC: 8 / 1.719

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-21 Model group: scp Model group: stein Model group: generated Model group: markshare
Name neos-pseudoapplication-21 scp stein generated markshare
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 / 1.392 2 / 1.402 3 / 1.569 4 / 1.598 5 / 1.627

Model Group Summary

The table below contains summary information for the five most similar model groups to app3 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.392112 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 1.401871 2
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.568543 3
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. 1.597810 4
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.627171 5