ns2034125: Instance-to-Instance Comparison Results

Type: Instance
Submitter: NEOS Server Submission
Description: Imported from the MIPLIB2010 submissions.
MIPLIB Entry

Parent Instance (ns2034125)

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

ns2034125 Raw ns2034125 Decomposed ns2034125 Composite of MIC top 5 ns2034125 Composite of MIPLIB top 5 ns2034125 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.
stein15inf decomposed berlin_5_8_0 decomposed stein45inf decomposed gen-ip054 decomposed scpm1 decomposed
Name stein15inf [MIPLIB] berlin_5_8_0 [MIPLIB] stein45inf [MIPLIB] gen-ip054 [MIPLIB] scpm1 [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 / 1.093 2 / 1.143 3 / 1.145 4 / 1.150 5 / 1.163
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
stein15inf raw berlin_5_8_0 raw stein45inf raw gen-ip054 raw scpm1 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-3218348-suir decomposed supportcase34 decomposed supportcase41 decomposed van decomposed ns1830653 decomposed
Name neos-3218348-suir [MIPLIB] supportcase34 [MIPLIB] supportcase41 [MIPLIB] van [MIPLIB] ns1830653 [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.
519 / 1.597 759 / 1.944 790 / 2.002 851 / 2.195 929 / 2.607
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-3218348-suir raw supportcase34 raw supportcase41 raw van raw ns1830653 raw

Instance Summary

The table below contains summary information for ns2034125, the five most similar instances to ns2034125 according to the MIC, and the five most similar instances to ns2034125 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance ns2034125 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 stein15inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.093421 1
berlin_5_8_0 [MIPLIB] G. Klau Railway optimization problems. The problem was solved using CPLEX 12.3 on a 32 core Sun Galaxy 4600 machine, equipped with eight Quad-Core AMD Opteron 8384 processors at 2.7 GHz and 512 GB RAM. It took approximately 9 hours. The problem was solved using CPLEX 12.4 in about 55 minutes (May 2014). 1.143304 2
stein45inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.144767 3
gen-ip054 [MIPLIB] Simon Bowly Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. 1.149977 4
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 1.162857 5
MIPLIB Top 5 neos-3218348-suir [MIPLIB] Jeff Linderoth (None provided) 1.596976 519
supportcase34 [MIPLIB] Domenico Salvagnin Instance coming from IBM developerWorks forum with unknown application. 1.944295 759
supportcase41 [MIPLIB] Domenico Salvagnin Instance coming from IBM developerWorks forum with unknown application. 2.001973 790
van [MIPLIB] C. Mannino, E. Parrello Telecommunications network model 2.194909 851
ns1830653 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 2.606934 929


ns2034125: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-67
Assigned Model Group Rank/ISS in the MIC: 92 / 2.559

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: stein Model group: scp Model group: markshare Model group: neos-pseudoapplication-109 Model group: neos-pseudoapplication-21
Name stein scp markshare neos-pseudoapplication-109 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 / 1.734 2 / 1.765 3 / 1.830 4 / 1.883 5 / 1.923

Model Group Summary

The table below contains summary information for the five most similar model groups to ns2034125 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.733677 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 1.764910 2
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.829978 3
neos-pseudoapplication-109 Jeff Linderoth (None provided) 1.882556 4
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.923419 5