supportcase26: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Michael Winkler
Description: MIP instances collected from Gurobi forum with unknown application
MIPLIB Entry

Parent Instance (supportcase26)

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

supportcase26 Raw supportcase26 Decomposed supportcase26 Composite of MIC top 5 supportcase26 Composite of MIPLIB top 5 supportcase26 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.
neos-3046615-murg decomposed neos-3046601-motu decomposed neos-3665875-lesum decomposed rmatr200-p10 decomposed neos-5115478-kaveri decomposed
Name neos-3046615-murg [MIPLIB] neos-3046601-motu [MIPLIB] neos-3665875-lesum [MIPLIB] rmatr200-p10 [MIPLIB] neos-5115478-kaveri [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 / 0.508 2 / 0.526 3 / 0.541 4 / 0.586 5 / 0.589
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-3046615-murg raw neos-3046601-motu raw neos-3665875-lesum raw rmatr200-p10 raw neos-5115478-kaveri 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-5115478-kaveri decomposed ic97_potential decomposed icir97_potential decomposed liu decomposed neos-5107597-kakapo decomposed
Name neos-5115478-kaveri [MIPLIB] ic97_potential [MIPLIB] icir97_potential [MIPLIB] liu [MIPLIB] neos-5107597-kakapo* [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.
5 / 0.589 157 / 1.123 170 / 1.153 426 / 1.469 5* / 0.589*
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-5115478-kaveri raw ic97_potential raw icir97_potential raw liu raw neos-5107597-kakapo raw

Instance Summary

The table below contains summary information for supportcase26, the five most similar instances to supportcase26 according to the MIC, and the five most similar instances to supportcase26 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance supportcase26 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 0.000000 -
MIC Top 5 neos-3046615-murg [MIPLIB] Jeff Linderoth (None provided) 0.508068 1
neos-3046601-motu [MIPLIB] Jeff Linderoth (None provided) 0.525656 2
neos-3665875-lesum [MIPLIB] Jeff Linderoth (None provided) 0.540769 3
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). 0.586255 4
neos-5115478-kaveri [MIPLIB] Jeff Linderoth (None provided) 0.589052 5
MIPLIB Top 5 neos-5115478-kaveri [MIPLIB] Jeff Linderoth (None provided) 0.589052 5
ic97_potential [MIPLIB] L. Peeters A model for cyclic railway timetable optimization 1.122880 157
icir97_potential [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.153101 170
liu [MIPLIB] X. Liu Floorplan and placement problem in the physical design of VLSI circuits 1.469163 426
neos-5107597-kakapo* [MIPLIB] Jeff Linderoth (None provided) 0.589052* 5*


supportcase26: 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: rmatr Model group: neos-pseudoapplication-54 Model group: map Model group: polygonpack Model group: ustun
Name rmatr neos-pseudoapplication-54 map polygonpack ustun
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 / 0.774 2 / 0.784 3 / 0.881 4 / 1.059 5 / 1.207

Model Group Summary

The table below contains summary information for the five most similar model groups to supportcase26 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 0.773656 1
neos-pseudoapplication-54 Jeff Linderoth (None provided) 0.784312 2
map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 0.880974 3
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. 1.058725 4
ustun Berk Ustun MIP to create optimized data-driven scoring systems. See: https://github.com/ustunb/miplib2017-slim#miplib2017-slim for a description. 1.206908 5


* neos-5107597-kakapo is a duplicate of neos-5115478-kaveri.