neos-3226448-wkra: Instance-to-Instance Comparison Results

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

Parent Instance (neos-3226448-wkra)

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

neos-3226448-wkra Raw neos-3226448-wkra Decomposed neos-3226448-wkra Composite of MIC top 5 neos-3226448-wkra Composite of MIPLIB top 5 neos-3226448-wkra 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.
csched010 decomposed csched007 decomposed ponderthis0517-inf decomposed ns1952667 decomposed f2gap801600 decomposed
Name csched010 [MIPLIB] csched007 [MIPLIB] ponderthis0517-inf [MIPLIB] ns1952667 [MIPLIB] f2gap801600 [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 / 1.347 2 / 1.422 3 / 1.429 4 / 1.431 5 / 1.445
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
csched010 raw csched007 raw ponderthis0517-inf raw ns1952667 raw f2gap801600 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.
ponderthis0517-inf decomposed neos-913984 decomposed neos-4382714-ruvuma decomposed air04 decomposed air05 decomposed
Name ponderthis0517-inf [MIPLIB] neos-913984 [MIPLIB] neos-4382714-ruvuma [MIPLIB] air04 [MIPLIB] air05 [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.
3 / 1.429 452 / 1.992 663 / 2.080 897 / 2.229 933 / 2.302
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
ponderthis0517-inf raw neos-913984 raw neos-4382714-ruvuma raw air04 raw air05 raw

Instance Summary

The table below contains summary information for neos-3226448-wkra, the five most similar instances to neos-3226448-wkra according to the MIC, and the five most similar instances to neos-3226448-wkra according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-3226448-wkra [MIPLIB] Jeff Linderoth (None provided) 0.000000 -
MIC Top 5 csched010 [MIPLIB] Tallys Yunes Cumulative scheduling problem instance 1.346903 1
csched007 [MIPLIB] Tallys Yunes Cumulative scheduling problem instance 1.422152 2
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 1.429383 3
ns1952667 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.430694 4
f2gap801600 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.445115 5
MIPLIB 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 1.429383 3
neos-913984 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.991696 452
neos-4382714-ruvuma [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 2.079597 663
air04 [MIPLIB] G. Astfalk Airline crew scheduling set partitioning problem 2.228567 897
air05 [MIPLIB] G. Astfalk Airline crew scheduling set partitioning problem 2.302294 933


neos-3226448-wkra: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-103
Assigned Model Group Rank/ISS in the MIC: 108 / 2.468

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: independentset Model group: generated Model group: pfour
Name neos-pseudoapplication-21 scp independentset generated pfour
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 / 1.693 2 / 1.719 3 / 1.768 4 / 1.775 5 / 1.852

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-3226448-wkra according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.693366 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 1.719323 2
independentset Toni Sorrell These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 1.768351 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. 1.774825 4
pfour MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.851877 5