rd-rplusc-21: Instance-to-Instance Comparison Results

Type: Instance
Submitter: MIPLIB submission pool
Description: Imported from the MIPLIB2010 submissions.
MIPLIB Entry

Parent Instance (rd-rplusc-21)

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

rd-rplusc-21 Raw rd-rplusc-21 Decomposed rd-rplusc-21 Composite of MIC top 5 rd-rplusc-21 Composite of MIPLIB top 5 rd-rplusc-21 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.
uct-subprob decomposed neos-950242 decomposed icir97_potential decomposed neos-4477313-unzha decomposed shiftreg5-1 decomposed
Name uct-subprob [MIPLIB] neos-950242 [MIPLIB] icir97_potential [MIPLIB] neos-4477313-unzha [MIPLIB] shiftreg5-1 [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 / 1.253 2 / 1.262 3 / 1.268 4 / 1.318 5 / 1.334
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
uct-subprob raw neos-950242 raw icir97_potential raw neos-4477313-unzha raw shiftreg5-1 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.
glass4 decomposed neos-5221106-oparau decomposed neos-2294525-abba decomposed neos-3634244-kauru decomposed neos-1122047 decomposed
Name glass4 [MIPLIB] neos-5221106-oparau [MIPLIB] neos-2294525-abba [MIPLIB] neos-3634244-kauru [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 model groups. A smaller ISS value indicates greater similarity.
306 / 1.823 500 / 1.942 584 / 1.997 931 / 2.793 937 / 2.845
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
glass4 raw neos-5221106-oparau raw neos-2294525-abba raw neos-3634244-kauru raw neos-1122047 raw

Instance Summary

The table below contains summary information for rd-rplusc-21, the five most similar instances to rd-rplusc-21 according to the MIC, and the five most similar instances to rd-rplusc-21 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance rd-rplusc-21 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 uct-subprob [MIPLIB] Gerald Lach Subproblem of a university course timetabling problem. Switched to "easy" because it was solved by Gurobi 5.0 in 2106 seconds (May 2012). 1.252903 1
neos-950242 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.262366 2
icir97_potential [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.267543 3
neos-4477313-unzha [MIPLIB] Jeff Linderoth (None provided) 1.317558 4
shiftreg5-1 [MIPLIB] Domenico Salvagnin Multi-activity shift scheduling problem with 5 activities and 24 employees, using an implicit model based on a regular language. 1.334414 5
MIPLIB Top 5 glass4 [MIPLIB] I. Luzzi Nesting instance 1.823278 306
neos-5221106-oparau [MIPLIB] Hans Mittelmann Seem to be VRP output from 2-hour runs of Gurobi on 12 threads is included 1.942033 500
neos-2294525-abba [MIPLIB] Jeff Linderoth (None provided) 1.996870 584
neos-3634244-kauru [MIPLIB] Jeff Linderoth (None provided) 2.792788 931
neos-1122047 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 2.844605 937


rd-rplusc-21: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: no model group assignment
Assigned Model Group Rank/ISS in the MIC: N.A. / N.A.

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: neos-pseudoapplication-54 Model group: hypothyroid Model group: stein Model group: markshare
Name scp neos-pseudoapplication-54 hypothyroid stein markshare
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 / 1.614 2 / 1.692 3 / 1.717 4 / 1.785 5 / 1.875

Model Group Summary

The table below contains summary information for the five most similar model groups to rd-rplusc-21 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 1.613756 1
neos-pseudoapplication-54 Jeff Linderoth (None provided) 1.691577 2
hypothyroid Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 1.717056 3
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.784729 4
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.875207 5