neos-3636886-kereu: Instance-to-Instance Comparison Results

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

Parent Instance (neos-3636886-kereu)

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

neos-3636886-kereu Raw neos-3636886-kereu Decomposed neos-3636886-kereu Composite of MIC top 5 neos-3636886-kereu Composite of MIPLIB top 5 neos-3636886-kereu 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.
polygonpack4-7 decomposed graph40-40-1rand decomposed graph40-80-1rand decomposed neos-3696678-lyvia decomposed neos-4703857-ahuroa decomposed
Name polygonpack4-7 [MIPLIB] graph40-40-1rand [MIPLIB] graph40-80-1rand [MIPLIB] neos-3696678-lyvia [MIPLIB] neos-4703857-ahuroa [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 / 1.070 2 / 1.074 3 / 1.079 4 / 1.080 5 / 1.081
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
polygonpack4-7 raw graph40-40-1rand raw graph40-80-1rand raw neos-3696678-lyvia raw neos-4703857-ahuroa 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-4703857-ahuroa decomposed sing44 decomposed unitcal_7 decomposed msc98-ip decomposed gasprod2-2 decomposed
Name neos-4703857-ahuroa [MIPLIB] sing44 [MIPLIB] unitcal_7 [MIPLIB] msc98-ip [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.
5 / 1.081 110 / 1.211 272 / 1.353 909 / 2.515 933 / 2.695
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-4703857-ahuroa raw sing44 raw unitcal_7 raw msc98-ip raw gasprod2-2 raw

Instance Summary

The table below contains summary information for neos-3636886-kereu, the five most similar instances to neos-3636886-kereu according to the MIC, and the five most similar instances to neos-3636886-kereu according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-3636886-kereu [MIPLIB] Jeff Linderoth (None provided) 0.000000 -
MIC Top 5 polygonpack4-7 [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. 1.070447 1
graph40-40-1rand [MIPLIB] Michael Bastubbe Packing Cuts in Undirected Graphs. Instances are described in 4.1. 1.073591 2
graph40-80-1rand [MIPLIB] Michael Bastubbe Packing Cuts in Undirected Graphs. Instances are described in 4.1. 1.078949 3
neos-3696678-lyvia [MIPLIB] Jeff Linderoth (None provided) 1.079986 4
neos-4703857-ahuroa [MIPLIB] Jeff Linderoth (None provided) 1.081375 5
MIPLIB Top 5 neos-4703857-ahuroa [MIPLIB] Jeff Linderoth (None provided) 1.081375 5
sing44 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 1.211245 110
unitcal_7 [MIPLIB] R. O’Neill California seven day unit commitment problem 1.352945 272
msc98-ip [MIPLIB] E-Plus, D. Bienstock, A. Bley, R. Wessäly Min-cost network dimensioning problems with a finite set of link capacities for each bidirected link, unsplittable shortest path routing, path restoration for single node failures, and routing path length restrictions 2.515351 909
gasprod2-2 [MIPLIB] Andrew Stamps Production planning model of a second industrial gas system. Two model instances included. 2.694903 933


neos-3636886-kereu: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-45
Assigned Model Group Rank/ISS in the MIC: 93 / 2.451

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: scp Model group: markshare Model group: ustun
Name map rmatr scp markshare 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 / 1.597 2 / 1.632 3 / 1.641 4 / 1.661 5 / 1.699

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-3636886-kereu 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 1.597253 1
rmatr Dmitry Krushinsky Model coming from a formulation of the p-Median problem using square cost matrices 1.632229 2
scp Shunji Umetani This is a random test model generator for SCP using the scheme of the following paper, namely the column cost c[j] are integer randomly generated from [1,100]; every column covers at least one row; and every row is covered by at least two columns. see reference: E. Balas and A. Ho, Set covering algorithms using cutting planes, heuristics, and subgradient optimization: A computational study, Mathematical Programming, 12 (1980), 37-60. We have newly generated Classes I-N with the following parameter values, where each class has five models. We have also generated reduced models by a standard pricing method in the following paper: S. Umetani and M. Yagiura, Relaxation heuristics for the set covering problem, Journal of the Operations Research Society of Japan, 50 (2007), 350-375. You can obtain the model generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark 1.641487 3
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.661385 4
ustun Berk Ustun MIP to create optimized data-driven scoring systems. See: https://github.com/ustunb/miplib2017-slim#miplib2017-slim for a description. 1.698637 5