supportcase1: Instance-to-Instance Comparison Results

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

Parent Instance (supportcase1)

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

supportcase1 Raw supportcase1 Decomposed supportcase1 Composite of MIC top 5 supportcase1 Composite of MIPLIB top 5 supportcase1 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 rmatr200-p5 decomposed rmatr200-p20 decomposed neos-3209462-rhin decomposed map14860-20 decomposed
Name rmatr200-p10 [MIPLIB] rmatr200-p5 [MIPLIB] rmatr200-p20 [MIPLIB] neos-3209462-rhin [MIPLIB] map14860-20 [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 / 0.301 2 / 0.302 3 / 0.322 4 / 0.332 5 / 0.358
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
rmatr200-p10 raw rmatr200-p5 raw rmatr200-p20 raw neos-3209462-rhin raw map14860-20 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-3709489-menik decomposed neos-3654993-kolva decomposed neos-3699044-maipo decomposed drayage-100-23 decomposed ns930473 decomposed
Name neos-3709489-menik [MIPLIB] neos-3654993-kolva [MIPLIB] neos-3699044-maipo [MIPLIB] drayage-100-23 [MIPLIB] ns930473 [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.
446 / 1.486 470 / 1.511 483 / 1.523 528 / 1.582 579 / 1.640
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-3709489-menik raw neos-3654993-kolva raw neos-3699044-maipo raw drayage-100-23 raw ns930473 raw

Instance Summary

The table below contains summary information for supportcase1, the five most similar instances to supportcase1 according to the MIC, and the five most similar instances to supportcase1 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance supportcase1 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 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). 0.300936 1
rmatr200-p5 [MIPLIB] Dmitry Krushinsky Instance coming from a formulation of the p-Median problem using square cost matrices 0.302307 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. 0.322467 3
neos-3209462-rhin [MIPLIB] Jeff Linderoth (None provided) 0.331945 4
map14860-20 [MIPLIB] Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 0.358120 5
MIPLIB Top 5 neos-3709489-menik [MIPLIB] Jeff Linderoth (None provided) 1.486255 446
neos-3654993-kolva [MIPLIB] Jeff Linderoth (None provided) 1.510674 470
neos-3699044-maipo [MIPLIB] Jeff Linderoth (None provided) 1.523002 483
drayage-100-23 [MIPLIB] F. Jordan Srour The .rar file contains three folders: 1) R_mps with all of the instances (165, organized into 5 groups R0_, R25_, R50_, R75_, and R100_*), 2) results_and_runtimes with datafiles on the runtime and results, and 3) doc with documentation on the instances in the form of a pdf. 1.582182 528
ns930473 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.640187 579


supportcase1: 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: map Model group: polygonpack Model group: n37 Model group: sp_product
Name rmatr map polygonpack n37 sp_product
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 / 0.292 2 / 0.450 3 / 0.548 4 / 0.902 5 / 0.928

Model Group Summary

The table below contains summary information for the five most similar model groups to supportcase1 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 0.291865 1
map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 0.450113 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. 0.548122 3
n37 J. Aronson Fixed charge transportation problem 0.901534 4
sp_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.927892 5