neos-3352863-ancoa: Instance-to-Instance Comparison Results

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

Parent Instance (neos-3352863-ancoa)

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

neos-3352863-ancoa Raw neos-3352863-ancoa Decomposed neos-3352863-ancoa Composite of MIC top 5 neos-3352863-ancoa Composite of MIPLIB top 5 neos-3352863-ancoa 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.
eilA101-2 decomposed eilC76-2 decomposed neos-3634244-kauru decomposed 2club200v15p5scn decomposed neos-1122047 decomposed
Name eilA101-2 [MIPLIB] eilC76-2 [MIPLIB] neos-3634244-kauru [MIPLIB] 2club200v15p5scn [MIPLIB] neos-1122047 [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 / 0.476 2 / 0.674 3 / 0.699 4 / 0.800 5 / 0.810
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
eilA101-2 raw eilC76-2 raw neos-3634244-kauru raw 2club200v15p5scn raw neos-1122047 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.
scpj4scip decomposed scpk4 decomposed scpl4 decomposed scpm1 decomposed scpn2 decomposed
Name scpj4scip [MIPLIB] scpk4 [MIPLIB] scpl4 [MIPLIB] scpm1 [MIPLIB] scpn2* [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.
7 / 0.902 8 / 0.912 29 / 1.244 110 / 1.715 110* / 1.715*
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
scpj4scip raw scpk4 raw scpl4 raw scpm1 raw scpn2 raw

Instance Summary

The table below contains summary information for neos-3352863-ancoa, the five most similar instances to neos-3352863-ancoa according to the MIC, and the five most similar instances to neos-3352863-ancoa according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-3352863-ancoa [MIPLIB] Jeff Linderoth (None provided) 0.000000 -
MIC Top 5 eilA101-2 [MIPLIB] J. Linderoth Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB 0.475632 1
eilC76-2 [MIPLIB] J. Linderoth Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB Imported from the MIPLIB2010 submissions. 0.673793 2
neos-3634244-kauru [MIPLIB] Jeff Linderoth (None provided) 0.699202 3
2club200v15p5scn [MIPLIB] Balabhaskar Balasundaram Maximum 2-club instance; graph; clique relaxations Solved with Gurobi 8.1 on 24 cores in approx. 23 hours. 0.799993 4
neos-1122047 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.809775 5
MIPLIB Top 5 scpj4scip [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 0.901505 7
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 0.912311 8
scpl4 [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 1.244247 29
scpm1 [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 1.715055 110
scpn2* [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 1.715055* 110*


neos-3352863-ancoa: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-100
Assigned Model Group Rank/ISS in the MIC: 2 / 0.672

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: eil Model group: neos-pseudoapplication-100 Model group: neos-pseudoapplication-46 Model group: core Model group: neos-pseudoapplication-110
Name eil neos-pseudoapplication-100 neos-pseudoapplication-46 core neos-pseudoapplication-110
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 / 0.530 2 / 0.672 3 / 0.944 4 / 1.020 5 / 1.142

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-3352863-ancoa according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 eil J. Linderoth Set partitioning problem approximation for capicated vehicle routing problem model from TSPLIB 0.530111 1
neos-pseudoapplication-100 NEOS Server Submission Model coming from the NEOS Server with unknown application 0.672417 2
neos-pseudoapplication-46 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.944057 3
core A. Caprara, M. Fischetti, P. Toth Set covering model coming from Italian railway models 1.020367 4
neos-pseudoapplication-110 Jeff Linderoth (None provided) 1.141840 5


* scpn2 is a duplicate of scpm1.