neos-3135526-osun: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Jeff Linderoth
Description: Claimed infeasible by most solvers.
MIPLIB Entry

Parent Instance (neos-3135526-osun)

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

neos-3135526-osun Raw neos-3135526-osun Decomposed neos-3135526-osun Composite of MIC top 5 neos-3135526-osun Composite of MIPLIB top 5 neos-3135526-osun 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.
sct1 decomposed sct31 decomposed neos5 decomposed supportcase21i decomposed physiciansched5-3 decomposed
Name sct1 [MIPLIB] sct31 [MIPLIB] neos5 [MIPLIB] supportcase21i [MIPLIB] physiciansched5-3 [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 / 1.373 2 / 1.430 3 / 1.475 4 / 1.501 5 / 1.510
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
sct1 raw sct31 raw neos5 raw supportcase21i raw physiciansched5-3 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.
ns930473 decomposed neos-5182409-nasivi decomposed neos-3762025-ognon decomposed neos-3761878-oglio decomposed neos-3695882-vesdre decomposed
Name ns930473 [MIPLIB] neos-5182409-nasivi [MIPLIB] neos-3762025-ognon [MIPLIB] neos-3761878-oglio [MIPLIB] neos-3695882-vesdre [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.
426 / 2.111 568 / 2.164 723 / 2.210 761 / 2.230 935 / 2.408
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
ns930473 raw neos-5182409-nasivi raw neos-3762025-ognon raw neos-3761878-oglio raw neos-3695882-vesdre raw

Instance Summary

The table below contains summary information for neos-3135526-osun, the five most similar instances to neos-3135526-osun according to the MIC, and the five most similar instances to neos-3135526-osun according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-3135526-osun [MIPLIB] Jeff Linderoth Claimed infeasible by most solvers. 0.000000 -
MIC Top 5 sct1 [MIPLIB] Siemens Assembly line balancing for printed circuit board production 1.373330 1
sct31 [MIPLIB] Siemens Assembly line balancing for printed circuit board production 1.430161 2
neos5 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.475185 3
supportcase21i [MIPLIB] Michael Winkler MIP with Indicator instances collected from Gurobi forum with unknown application 1.501129 4
physiciansched5-3 [MIPLIB] Pelin Damci-Kurt Physician scheduling problem for hospitalist, radiology and kidney specialist groups. 1.510387 5
MIPLIB Top 5 ns930473 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 2.111300 426
neos-5182409-nasivi [MIPLIB] Jeff Linderoth (None provided) 2.163692 568
neos-3762025-ognon [MIPLIB] Jeff Linderoth (None provided) 2.209872 723
neos-3761878-oglio [MIPLIB] Jeff Linderoth (None provided) 2.229864 761
neos-3695882-vesdre [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 2.407513 935


neos-3135526-osun: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-71
Assigned Model Group Rank/ISS in the MIC: 166 / 2.753

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-21 Model group: generated Model group: scp Model group: independentset Model group: neos-pseudoapplication-101
Name neos-pseudoapplication-21 generated scp independentset neos-pseudoapplication-101
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 / 1.722 2 / 1.799 3 / 1.811 4 / 1.837 5 / 1.952

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-3135526-osun according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.722246 1
generated Simon Bowly Randomly generated integer and binary programming models. These results are part of an early phase of work aimed at generating diverse and challenging MIP models for experimental testing. We have aimed to produce small integer and binary programming models which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. 1.799467 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 1.811111 3
independentset Toni Sorrell These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 1.837386 4
neos-pseudoapplication-101 NEOS Server Submission Model coming from the NEOS Server with unknown application. Infeasibility claimed by CPLEX 12.6 and CPLEX 12.6.1 with extreme numerical caution emphasi after 4 and 2 hours computation, respectively. 1.951743 5