neos-3682128-sandon: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Hans Mittelmann
Description: Collection of anonymous submissions to the NEOS Server for Optimization
MIPLIB Entry

Parent Instance (neos-3682128-sandon)

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

neos-3682128-sandon Raw neos-3682128-sandon Decomposed neos-3682128-sandon Composite of MIC top 5 neos-3682128-sandon Composite of MIPLIB top 5 neos-3682128-sandon 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-848589 decomposed neos-3322547-alsek decomposed neos-2978205-isar decomposed ger50-17-ptp-pop-6t decomposed f2gap40400 decomposed
Name neos-848589 [MIPLIB] neos-3322547-alsek [MIPLIB] neos-2978205-isar [MIPLIB] ger50-17-ptp-pop-6t [MIPLIB] f2gap40400 [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 / 0.994 2 / 1.011 3 / 1.107 4 / 1.183 5 / 1.184
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-848589 raw neos-3322547-alsek raw neos-2978205-isar raw ger50-17-ptp-pop-6t raw f2gap40400 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-633273 decomposed neos-5261882-treska decomposed umts decomposed neos-3581454-haast decomposed lr2-22dr3-333vc4v17a-t60 decomposed
Name neos-633273 [MIPLIB] neos-5261882-treska [MIPLIB] umts [MIPLIB] neos-3581454-haast [MIPLIB] lr2-22dr3-333vc4v17a-t60 [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.
35 / 1.339 344 / 1.609 557 / 1.698 600 / 1.722 950 / 2.591
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-633273 raw neos-5261882-treska raw umts raw neos-3581454-haast raw lr2-22dr3-333vc4v17a-t60 raw

Instance Summary

The table below contains summary information for neos-3682128-sandon, the five most similar instances to neos-3682128-sandon according to the MIC, and the five most similar instances to neos-3682128-sandon according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-3682128-sandon [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 0.000000 -
MIC Top 5 neos-848589 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.994269 1
neos-3322547-alsek [MIPLIB] Jeff Linderoth (None provided) 1.011381 2
neos-2978205-isar [MIPLIB] Jeff Linderoth (None provided) 1.106564 3
ger50-17-ptp-pop-6t [MIPLIB] C. Raack Multi-layer network design problem using a link-flow formulation over a path-flow formulation. 1.182824 4
f2gap40400 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.184303 5
MIPLIB Top 5 neos-633273 [MIPLIB] NEOS Server Submission Collection of anonymous submissions to the NEOS Server for Optimization 1.338821 35
neos-5261882-treska [MIPLIB] Hans Mittelmann Seem to be VRP output from 2-hour runs of Gurobi on 12 threads is included 1.608523 344
umts [MIPLIB] C. Polo Telecommunications network model 1.697877 557
neos-3581454-haast [MIPLIB] Jeff Linderoth (None provided) 1.721953 600
lr2-22dr3-333vc4v17a-t60 [MIPLIB] Dimitri Papageorgiou Maritime Inventory Routing Problem Library - Group 1 Instances. These instances are available at https://mirplib.scl.gatech.edu/instances, along with a host of additional information such as the underlying data used to generate the model, best known upper and lower bounds, and more. As of 2012, Group 1 instances gave Cplex and Gurobi tremendous difficulty finding a single feasible solution. 2.590518 950


neos-3682128-sandon: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-10
Assigned Model Group Rank/ISS in the MIC: 1 / 1.544

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-10 Model group: neos-pseudoapplication-77 Model group: scp Model group: 8div Model group: neos-pseudoapplication-21
Name neos-pseudoapplication-10 neos-pseudoapplication-77 scp 8div 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 / 1.545 2 / 1.699 3 / 1.763 4 / 1.792 5 / 1.833

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-3682128-sandon according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-10 NEOS Server Submission Collection of anonymous submissions to the NEOS Server for Optimization 1.544653 1
neos-pseudoapplication-77 Jeff Linderoth (None provided) 1.699369 2
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 1.762574 3
8div Sascha Kurz Projective binary 8-divisible linear block codes A linear block code is called 8-divisible if the weights of its codewords are divisible by 8. It is called projective if there are no duplicate columns in the generator matrix. The possible lengths of 8-divisible linear block codes have been classified except for length n=59, where it is undecided whether such a linear code exists. The possible dimensions satisfy \\(10 \\le k \\le 20\\). Model 8div_n59_kXX contains the corresponding feasibility problem. Projective binary 8-divisible linear block codes occur as hole configurations of so-called partial solid spreads in finite geometry. Binary 4-divisible linear block codes have applications in physics. 1.791597 4
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.832710 5