rmatr200-p5: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Dmitry Krushinsky
Description: Instance coming from a formulation of the p-Median problem using square cost matrices
MIPLIB Entry

Parent Instance (rmatr200-p5)

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

rmatr200-p5 Raw rmatr200-p5 Decomposed rmatr200-p5 Composite of MIC top 5 rmatr200-p5 Composite of MIPLIB top 5 rmatr200-p5 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-p10 decomposed neos-3209462-rhin decomposed rmatr200-p20 decomposed polygonpack5-15 decomposed supportcase1 decomposed
Name rmatr200-p10 [MIPLIB] neos-3209462-rhin [MIPLIB] rmatr200-p20 [MIPLIB] polygonpack5-15 [MIPLIB] supportcase1 [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 / 0.135 2 / 0.181 3 / 0.206 4 / 0.260 5 / 0.302
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
rmatr200-p10 raw neos-3209462-rhin raw rmatr200-p20 raw polygonpack5-15 raw supportcase1 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.
rmatr200-p10 decomposed rmatr200-p20 decomposed rmatr100-p5 decomposed rmatr100-p10 decomposed neos-3665875-lesum decomposed
Name rmatr200-p10 [MIPLIB] rmatr200-p20 [MIPLIB] rmatr100-p5 [MIPLIB] rmatr100-p10 [MIPLIB] neos-3665875-lesum [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.
1 / 0.135 3 / 0.206 10 / 0.440 12 / 0.445 76 / 0.791
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
rmatr200-p10 raw rmatr200-p20 raw rmatr100-p5 raw rmatr100-p10 raw neos-3665875-lesum raw

Instance Summary

The table below contains summary information for rmatr200-p5, the five most similar instances to rmatr200-p5 according to the MIC, and the five most similar instances to rmatr200-p5 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance rmatr200-p5 [MIPLIB] Dmitry Krushinsky Instance coming from a formulation of the p-Median problem using square cost matrices 0.000000 -
MIC Top 5 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). 0.135296 1
neos-3209462-rhin [MIPLIB] Jeff Linderoth (None provided) 0.181459 2
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. 0.205724 3
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. 0.260176 4
supportcase1 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 0.302307 5
MIPLIB Top 5 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). 0.135296 1
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. 0.205724 3
rmatr100-p5 [MIPLIB] Dmitry Krushinsky Instance coming from a formulation of the p-Median problem using square cost matrices 0.439717 10
rmatr100-p10 [MIPLIB] Dmitry Krushinsky Instance coming from a formulation of the p-Median problem using square cost matrices 0.445120 12
neos-3665875-lesum [MIPLIB] Jeff Linderoth (None provided) 0.790616 76


rmatr200-p5: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: rmatr
Assigned Model Group Rank/ISS in the MIC: 2 / 0.383

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 / 0.378 2 / 0.383 3 / 0.695 4 / 0.899 5 / 0.941

Model Group Summary

The table below contains summary information for the five most similar model groups to rmatr200-p5 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 0.377717 1
rmatr Dmitry Krushinsky Model coming from a formulation of the p-Median problem using square cost matrices 0.383257 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. 0.694905 3
sp_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.899284 4
n37 J. Aronson Fixed charge transportation problem 0.940785 5


Updated August 16, 2019