map14860-20: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Kiyan Ahmadizadeh
Description: Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem
MIPLIB Entry

Parent Instance (map14860-20)

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

map14860-20 Raw map14860-20 Decomposed map14860-20 Composite of MIC top 5 map14860-20 Composite of MIPLIB top 5 map14860-20 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.
rmatr200-p20 decomposed rmatr200-p10 decomposed rmatr200-p5 decomposed neos-3209462-rhin decomposed polygonpack5-15 decomposed
Name rmatr200-p20 [MIPLIB] rmatr200-p10 [MIPLIB] rmatr200-p5 [MIPLIB] neos-3209462-rhin [MIPLIB] polygonpack5-15 [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 / 0.303 2 / 0.303 3 / 0.312 4 / 0.323 5 / 0.334
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
rmatr200-p20 raw rmatr200-p10 raw rmatr200-p5 raw neos-3209462-rhin raw polygonpack5-15 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.
neos-3209462-rhin decomposed map18 decomposed map10 decomposed map06 decomposed map16715-04 decomposed
Name neos-3209462-rhin [MIPLIB] map18* [MIPLIB] map10* [MIPLIB] map06* [MIPLIB] map16715-04* [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 / 0.323 0* / 0.000* 0* / 0.000* 0* / 0.000* 0* / 0.000*
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-3209462-rhin raw map18 raw map10 raw map06 raw map16715-04 raw

Instance Summary

The table below contains summary information for map14860-20, the five most similar instances to map14860-20 according to the MIC, and the five most similar instances to map14860-20 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance map14860-20 [MIPLIB] Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 0.000000 -
MIC Top 5 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. 0.302751 1
rmatr200-p10 [MIPLIB] Dmitry Krushinsky Instance coming from a formulation of the p-Median problem using square cost matrices. Solved by Gurobi 4.6.1 (12 threads) in 19644 seconds (January 2012). 0.303116 2
rmatr200-p5 [MIPLIB] Dmitry Krushinsky Instance coming from a formulation of the p-Median problem using square cost matrices 0.312486 3
neos-3209462-rhin [MIPLIB] Jeff Linderoth (None provided) 0.323059 4
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. 0.334031 5
MIPLIB Top 5 neos-3209462-rhin [MIPLIB] Jeff Linderoth (None provided) 0.323059 4
map18* [MIPLIB] Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 0.000000* 0*
map10* [MIPLIB] Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 0.000000* 0*
map06* [MIPLIB] Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 0.000000* 0*
map16715-04* [MIPLIB] Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 0.000000* 0*


map14860-20: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: map
Assigned Model Group Rank/ISS in the MIC: 1 / 0.0

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: map Model group: rmatr Model group: polygonpack Model group: sp_product Model group: n37
Name map rmatr polygonpack sp_product n37
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 / 0.000 2 / 0.455 3 / 0.682 4 / 0.879 5 / 0.899

Model Group Summary

The table below contains summary information for the five most similar model groups to map14860-20 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 0.000000 1
rmatr Dmitry Krushinsky Model coming from a formulation of the p-Median problem using square cost matrices 0.454718 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. 0.682389 3
sp_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.879077 4
n37 J. Aronson Fixed charge transportation problem 0.898835 5


* map18 is a duplicate of map14860-20. map10 is a duplicate of map14860-20. map06 is a duplicate of map14860-20. map16715-04 is a duplicate of map14860-20.

Updated August 16, 2019