neos-5129192-manaia: Instance-to-Instance Comparison Results

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

Parent Instance (neos-5129192-manaia)

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

neos-5129192-manaia Raw neos-5129192-manaia Decomposed neos-5129192-manaia Composite of MIC top 5 neos-5129192-manaia Composite of MIPLIB top 5 neos-5129192-manaia 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-1367061 decomposed supportcase40 decomposed neos-4966126-blavet decomposed moj-mining decomposed gen-ip021 decomposed
Name neos-1367061 [MIPLIB] supportcase40 [MIPLIB] neos-4966126-blavet [MIPLIB] moj-mining [MIPLIB] gen-ip021 [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 / 1.241 2 / 1.328 3 / 1.330 4 / 1.363 5 / 1.382
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-1367061 raw supportcase40 raw neos-4966126-blavet raw moj-mining raw gen-ip021 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.
decomp2 decomposed stp3d decomposed neos-4300652-rahue decomposed neos-3237086-abava decomposed neos-4754521-awarau decomposed
Name decomp2 [MIPLIB] stp3d [MIPLIB] neos-4300652-rahue [MIPLIB] neos-3237086-abava [MIPLIB] neos-4754521-awarau [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.
103 / 1.708 557 / 1.883 747 / 1.966 819 / 2.060 866 / 2.193
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
decomp2 raw stp3d raw neos-4300652-rahue raw neos-3237086-abava raw neos-4754521-awarau raw

Instance Summary

The table below contains summary information for neos-5129192-manaia, the five most similar instances to neos-5129192-manaia according to the MIC, and the five most similar instances to neos-5129192-manaia according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-5129192-manaia [MIPLIB] Jeff Linderoth (None provided) 0.000000 -
MIC Top 5 neos-1367061 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.240523 1
supportcase40 [MIPLIB] Domenico Salvagnin Instance coming from IBM developerWorks forum with unknown application. 1.328303 2
neos-4966126-blavet [MIPLIB] Jeff Linderoth (None provided) 1.330340 3
moj-mining [MIPLIB] Alexandra M. Newman open pit mine production scheduling problem with inventory 1.362914 4
gen-ip021 [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. 1.381812 5
MIPLIB Top 5 decomp2 [MIPLIB] Martin Berger Finds special structures in MIPs. 1.707929 103
stp3d [MIPLIB] T. Koch Steiner tree packing instance in a 3 dimensional grid-graph, LP relaxation is highly degenerate. Alkis Vazacopoulos reports finding the first feasible solution of this instance using XPRESS 2006B. This instance was solved by a first implementation of ParaSCIP using up to 2048 cores of HLRN-II(http://www.hlrn.de). ParaSCIP, mainly developed by Yuji Shinano, is an extension of SCIP and realizes a parallelization on a distributed memory computing environment. For being able to interrupt and warmstart the computations, ParaSCIP has a checkpoint mechanism. Therefore, selected subproblems are stored as warm start information, which allows to virtually run ParaSCIP, although the HLRN-II environment imposes a time limit of 48 hours per run. The problem was presolved several times with SCIP presolving techniques. After that, it took approximately 114 hours to solve this instance. 1.882683 557
neos-4300652-rahue [MIPLIB] Jeff Linderoth (None provided) 1.966370 747
neos-3237086-abava [MIPLIB] Jeff Linderoth (None provided) 2.060253 819
neos-4754521-awarau [MIPLIB] Jeff Linderoth (None provided) 2.192684 866


neos-5129192-manaia: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-51
Assigned Model Group Rank/ISS in the MIC: 155 / 2.937

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: scp Model group: stein Model group: neos-pseudoapplication-21 Model group: markshare Model group: independentset
Name scp stein neos-pseudoapplication-21 markshare independentset
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 / 1.803 2 / 1.870 3 / 1.912 4 / 2.018 5 / 2.030

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-5129192-manaia according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 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 1.803170 1
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.870373 2
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.912204 3
markshare G. Cornuéjols, M. Dawande Market sharing problem 2.017873 4
independentset Toni Sorrell These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 2.030240 5