ran12x21: Instance-to-Instance Comparison Results

Type: Instance
Submitter: J. Aronson
Description: Fixed charge transportation problem
MIPLIB Entry

Parent Instance (ran12x21)

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

ran12x21 Raw ran12x21 Decomposed ran12x21 Composite of MIC top 5 ran12x21 Composite of MIPLIB top 5 ran12x21 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.
graph20-80-1rand decomposed graph40-20-1rand decomposed germany50-UUM decomposed aflow40b decomposed neos-1582420 decomposed
Name graph20-80-1rand [MIPLIB] graph40-20-1rand [MIPLIB] germany50-UUM [MIPLIB] aflow40b [MIPLIB] neos-1582420 [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 / 0.377 2 / 0.388 3 / 0.391 4 / 0.391 5 / 0.394
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
graph20-80-1rand raw graph40-20-1rand raw germany50-UUM raw aflow40b raw neos-1582420 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.
aflow40b decomposed aflow30a decomposed gr4x6 decomposed ran13x13 decomposed h50x2450 decomposed
Name aflow40b [MIPLIB] aflow30a [MIPLIB] gr4x6 [MIPLIB] ran13x13 [MIPLIB] h50x2450 [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.
4 / 0.391 37 / 0.489 142 / 0.778 143 / 0.780 309 / 1.158
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
aflow40b raw aflow30a raw gr4x6 raw ran13x13 raw h50x2450 raw

Instance Summary

The table below contains summary information for ran12x21, the five most similar instances to ran12x21 according to the MIC, and the five most similar instances to ran12x21 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance ran12x21 [MIPLIB] J. Aronson Fixed charge transportation problem 0.000000 -
MIC Top 5 graph20-80-1rand [MIPLIB] Michael Bastubbe Packing Cuts in Undirected Graphs. Instances are described in 4.1. 0.377278 1
graph40-20-1rand [MIPLIB] Michael Bastubbe Packing Cuts in Undirected Graphs. Instances are described in 4.1. 0.388284 2
germany50-UUM [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.391342 3
aflow40b [MIPLIB] T. Achterberg Arborescence flow problem on a graph with 40 nodes and edge density 0.9 0.391420 4
neos-1582420 [MIPLIB] NEOS Server Submission Collection of anonymous submissions to the NEOS Server for Optimization 0.393576 5
MIPLIB Top 5 aflow40b [MIPLIB] T. Achterberg Arborescence flow problem on a graph with 40 nodes and edge density 0.9 0.391420 4
aflow30a [MIPLIB] T. Achterberg Arborescence flow problem 0.488597 37
gr4x6 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.777870 142
ran13x13 [MIPLIB] J. Aronson Fixed charge transportation problem 0.779799 143
h50x2450 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.158455 309


ran12x21: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: ran
Assigned Model Group Rank/ISS in the MIC: 127 / 2.616

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: sp_product Model group: neos-pseudoapplication-2 Model group: seqsolve Model group: n37 Model group: radiation
Name sp_product neos-pseudoapplication-2 seqsolve n37 radiation
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 / 0.538 2 / 0.610 3 / 0.716 4 / 0.740 5 / 0.741

Model Group Summary

The table below contains summary information for the five most similar model groups to ran12x21 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 sp_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.538156 1
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.610319 2
seqsolve Irv Lustig The 3 problems in this group (seqsolve1-seqsolve3) represent a hierarchical optimization process, which is derived from a customer problem for assigning people to sites into blocks of time on days of the week. The specialty of this submission is that the best known solution for seqsolveX can be used as a MIP start for seqsolveX+1. For a description of the connections between the problems, please refer to the README.txt contained in the model data for this submission, which also includes MIP start files and a Gurobi log file. 0.716459 3
n37 J. Aronson Fixed charge transportation problem 0.739794 4
radiation 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 0.740772 5