neos-4338804-snowy: Instance-to-Instance Comparison Results

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

Parent Instance (neos-4338804-snowy)

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

neos-4338804-snowy Raw neos-4338804-snowy Decomposed neos-4338804-snowy Composite of MIC top 5 neos-4338804-snowy Composite of MIPLIB top 5 neos-4338804-snowy 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.
neos-2991472-kalu decomposed chromaticindex32-8 decomposed pigeon-20 decomposed pigeon-16 decomposed acc-tight2 decomposed
Name neos-2991472-kalu [MIPLIB] chromaticindex32-8 [MIPLIB] pigeon-20 [MIPLIB] pigeon-16 [MIPLIB] acc-tight2 [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 / 1.003 2 / 1.048 3 / 1.103 4 / 1.124 5 / 1.138
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-2991472-kalu raw chromaticindex32-8 raw pigeon-20 raw pigeon-16 raw acc-tight2 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-3009394-lami decomposed neos-3046601-motu decomposed neos-3046615-murg decomposed lectsched-4-obj decomposed lectsched-5-obj decomposed
Name neos-3009394-lami [MIPLIB] neos-3046601-motu [MIPLIB] neos-3046615-murg [MIPLIB] lectsched-4-obj [MIPLIB] lectsched-5-obj [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.
559 / 1.702 624 / 1.749 645 / 1.756 676 / 1.779 716 / 1.810
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-3009394-lami raw neos-3046601-motu raw neos-3046615-murg raw lectsched-4-obj raw lectsched-5-obj raw

Instance Summary

The table below contains summary information for neos-4338804-snowy, the five most similar instances to neos-4338804-snowy according to the MIC, and the five most similar instances to neos-4338804-snowy according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-4338804-snowy [MIPLIB] Jeff Linderoth (None provided) 0.000000 -
MIC Top 5 neos-2991472-kalu [MIPLIB] Jeff Linderoth (None provided) 1.003490 1
chromaticindex32-8 [MIPLIB] Pierre Le Bodic Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees. 1.048183 2
pigeon-20 [MIPLIB] Sam Allen Instance of 3D packing (container loading) problem 1.102904 3
pigeon-16 [MIPLIB] Sam Allen Instance of 3D packing (container loading) problem 1.124349 4
acc-tight2 [MIPLIB] J. Walser ACC basketball scheduling instance 1.137818 5
MIPLIB Top 5 neos-3009394-lami [MIPLIB] Jeff Linderoth (None provided) 1.702458 559
neos-3046601-motu [MIPLIB] Jeff Linderoth (None provided) 1.748612 624
neos-3046615-murg [MIPLIB] Jeff Linderoth (None provided) 1.756231 645
lectsched-4-obj [MIPLIB] Harald Schilly University lecture scheduling instance 1.778714 676
lectsched-5-obj [MIPLIB] Harald Schilly scheduling lectures at university - smaller subset of data with objective to minimize certain overlappings 1.810415 716


neos-4338804-snowy: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-40
Assigned Model Group Rank/ISS in the MIC: 1 / 0.0

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-40 Model group: scp Model group: pfour Model group: neos-pseudoapplication-74 Model group: neos-pseudoapplication-21
Name neos-pseudoapplication-40 scp pfour neos-pseudoapplication-74 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 / 0.000 2 / 1.516 3 / 1.558 4 / 1.575 5 / 1.594

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-4338804-snowy according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-40 Jeff Linderoth (None provided) 0.000000 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 1.515845 2
pfour MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.558402 3
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.575402 4
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.593636 5