neos-3634244-kauru: Instance-to-Instance Comparison Results

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

Parent Instance (neos-3634244-kauru)

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

neos-3634244-kauru Raw neos-3634244-kauru Decomposed neos-3634244-kauru Composite of MIC top 5 neos-3634244-kauru Composite of MIPLIB top 5 neos-3634244-kauru 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-1122047 decomposed neos-3352863-ancoa decomposed neos-5013590-toitoi decomposed scpk4 decomposed neos-4760493-puerua decomposed
Name neos-1122047 [MIPLIB] neos-3352863-ancoa [MIPLIB] neos-5013590-toitoi [MIPLIB] scpk4 [MIPLIB] neos-4760493-puerua [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 / 0.521 2 / 0.699 3 / 0.837 4 / 0.841 5 / 0.846
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-1122047 raw neos-3352863-ancoa raw neos-5013590-toitoi raw scpk4 raw neos-4760493-puerua 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.
assign1-10-4 decomposed assign1-5-8 decomposed neos-525149 decomposed neos-5221106-oparau decomposed rd-rplusc-21 decomposed
Name assign1-10-4 [MIPLIB] assign1-5-8 [MIPLIB] neos-525149 [MIPLIB] neos-5221106-oparau [MIPLIB] rd-rplusc-21 [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.
13 / 0.947 142 / 2.116 314 / 2.573 439 / 2.716 538 / 2.793
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
assign1-10-4 raw assign1-5-8 raw neos-525149 raw neos-5221106-oparau raw rd-rplusc-21 raw

Instance Summary

The table below contains summary information for neos-3634244-kauru, the five most similar instances to neos-3634244-kauru according to the MIC, and the five most similar instances to neos-3634244-kauru according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-3634244-kauru [MIPLIB] Jeff Linderoth (None provided) 0.000000 -
MIC Top 5 neos-1122047 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.521476 1
neos-3352863-ancoa [MIPLIB] Jeff Linderoth (None provided) 0.699202 2
neos-5013590-toitoi [MIPLIB] Hans Mittelmann additional files should be Gurobi output and solution and submitter 0.836912 3
scpk4 [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 0.841210 4
neos-4760493-puerua [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 0.846383 5
MIPLIB Top 5 assign1-10-4 [MIPLIB] Robert Fourer Imported from the MIPLIB2010 submissions. 0.947098 13
assign1-5-8 [MIPLIB] Robert Fourer Imported from the MIPLIB2010 submissions. 2.115581 142
neos-525149 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 2.572504 314
neos-5221106-oparau [MIPLIB] Hans Mittelmann Seem to be VRP output from 2-hour runs of Gurobi on 12 threads is included 2.715720 439
rd-rplusc-21 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 2.792788 538


neos-3634244-kauru: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-110
Assigned Model Group Rank/ISS in the MIC: 2 / 0.760

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-100 Model group: neos-pseudoapplication-110 Model group: eil Model group: core Model group: neos-pseudoapplication-46
Name neos-pseudoapplication-100 neos-pseudoapplication-110 eil core neos-pseudoapplication-46
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 / 0.727 2 / 0.761 3 / 0.764 4 / 0.966 5 / 1.216

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-3634244-kauru according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-100 NEOS Server Submission Model coming from the NEOS Server with unknown application 0.726710 1
neos-pseudoapplication-110 Jeff Linderoth (None provided) 0.760847 2
eil J. Linderoth Set partitioning problem approximation for capicated vehicle routing problem model from TSPLIB 0.764229 3
core A. Caprara, M. Fischetti, P. Toth Set covering model coming from Italian railway models 0.966377 4
neos-pseudoapplication-46 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.216126 5