neos-4703857-ahuroa: Instance-to-Instance Comparison Results

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

Parent Instance (neos-4703857-ahuroa)

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

neos-4703857-ahuroa Raw neos-4703857-ahuroa Decomposed neos-4703857-ahuroa Composite of MIC top 5 neos-4703857-ahuroa Composite of MIPLIB top 5 neos-4703857-ahuroa 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.
graph40-40-1rand decomposed graph40-80-1rand decomposed polygonpack5-15 decomposed rmatr200-p20 decomposed polygonpack4-15 decomposed
Name graph40-40-1rand [MIPLIB] graph40-80-1rand [MIPLIB] polygonpack5-15 [MIPLIB] rmatr200-p20 [MIPLIB] polygonpack4-15 [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 / 0.260 2 / 0.284 3 / 0.304 4 / 0.354 5 / 0.367
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
graph40-40-1rand raw graph40-80-1rand raw polygonpack5-15 raw rmatr200-p20 raw polygonpack4-15 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.
sing44 decomposed sing326 decomposed unitcal_7 decomposed uccase8 decomposed gasprod2-2 decomposed
Name sing44 [MIPLIB] sing326 [MIPLIB] unitcal_7 [MIPLIB] uccase8 [MIPLIB] gasprod2-2 [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.
28 / 0.623 70 / 0.721 139 / 0.891 480 / 1.457 935 / 2.996
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
sing44 raw sing326 raw unitcal_7 raw uccase8 raw gasprod2-2 raw

Instance Summary

The table below contains summary information for neos-4703857-ahuroa, the five most similar instances to neos-4703857-ahuroa according to the MIC, and the five most similar instances to neos-4703857-ahuroa according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-4703857-ahuroa [MIPLIB] Jeff Linderoth (None provided) 0.000000 -
MIC Top 5 graph40-40-1rand [MIPLIB] Michael Bastubbe Packing Cuts in Undirected Graphs. Instances are described in 4.1. 0.259888 1
graph40-80-1rand [MIPLIB] Michael Bastubbe Packing Cuts in Undirected Graphs. Instances are described in 4.1. 0.283771 2
polygonpack5-15 [MIPLIB] Antonio Frangioni Given a set P of polygons, not necessarily convex, and a rectangle, we want to find the subset S of P with largest possible total area and a position every p in S so that there are no overlaps and they are all included in the rectangle. We allow a small set of rotations (0, 90, 180, 270 degrees) for every polygon. The problem is simplified w.r.t. the real application because the polygons do not have (fully encircled) "holes", which are supposedly filled-in separately, although they can have "bays". Models are saved as .lp. Instance LpPackingModel_Dim means that we are trying to pack polygons taken from set ; there are currently 5 different sets, and is 7, 10 or 15. 0.304198 3
rmatr200-p20 [MIPLIB] Dmitry Krushinsky Instance coming from a formulation of the p-Median problem using square cost matrices. Solved using ug[SCIP/spx], a distributed massively parallel version of SCIP run on 2,000 cores at the HLRN-II super computer facility. 0.353800 4
polygonpack4-15 [MIPLIB] Antonio Frangioni Given a set P of polygons, not necessarily convex, and a rectangle, we want to find the subset S of P with largest possible total area and a position every p in S so that there are no overlaps and they are all included in the rectangle. We allow a small set of rotations (0, 90, 180, 270 degrees) for every polygon. The problem is simplified w.r.t. the real application because the polygons do not have (fully encircled) "holes", which are supposedly filled-in separately, although they can have "bays". Models are saved as .lp. Instance LpPackingModel_Dim means that we are trying to pack polygons taken from set ; there are currently 5 different sets, and is 7, 10 or 15. 0.366758 5
MIPLIB Top 5 sing44 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 0.622930 28
sing326 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 0.720754 70
unitcal_7 [MIPLIB] R. O’Neill California seven day unit commitment problem 0.891001 139
uccase8 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 1.457224 480
gasprod2-2 [MIPLIB] Andrew Stamps Production planning model of a second industrial gas system. Two model instances included. 2.995705 935


neos-4703857-ahuroa: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-82
Assigned Model Group Rank/ISS in the MIC: 192 / 3.672

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: rmatr Model group: map Model group: polygonpack Model group: n37 Model group: graphs
Name rmatr map polygonpack n37 graphs
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 / 0.446 2 / 0.478 3 / 0.544 4 / 0.886 5 / 0.922

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-4703857-ahuroa according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 rmatr Dmitry Krushinsky Model coming from a formulation of the p-Median problem using square cost matrices 0.445977 1
map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 0.477583 2
polygonpack Antonio Frangioni Given a set P of polygons, not necessarily convex, and a rectangle, we want to find the subset S of P with largest possible total area and a position every p in S so that there are no overlaps and they are all included in the rectangle. We allow a small set of rotations (0, 90, 180, 270 degrees) for every polygon. The problem is simplified w.r.t. the real application because the polygons do not have (fully encircled) "holes", which are supposedly filled-in separately, although they can have "bays". Models are saved as .lp. Model LpPackingModel_Dim means that we are trying to pack polygons taken from set ; there are currently 5 different sets, and is 7, 10 or 15. 0.544357 3
n37 J. Aronson Fixed charge transportation problem 0.886103 4
graphs Michael Bastubbe Packing Cuts in Undirected Graphs. Models are described in 4.1. 0.922478 5