supportcase6: Instance-to-Instance Comparison Results

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

Parent Instance (supportcase6)

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

supportcase6 Raw supportcase6 Decomposed supportcase6 Composite of MIC top 5 supportcase6 Composite of MIPLIB top 5 supportcase6 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-4760493-puerua decomposed sorrell4 decomposed t1717 decomposed scpk4 decomposed core4284-1064 decomposed
Name neos-4760493-puerua [MIPLIB] sorrell4 [MIPLIB] t1717 [MIPLIB] scpk4 [MIPLIB] core4284-1064 [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 / 0.798 2 / 0.925 3 / 0.931 4 / 0.938 5 / 0.940
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-4760493-puerua raw sorrell4 raw t1717 raw scpk4 raw core4284-1064 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.
datt256 decomposed s100 decomposed s55 decomposed tbfp-network decomposed neos-4531126-vouga decomposed
Name datt256 [MIPLIB] s100 [MIPLIB] s55 [MIPLIB] tbfp-network [MIPLIB] neos-4531126-vouga [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.
72 / 1.907 385 / 3.021 439 / 3.073 536 / 3.167 816 / 3.367
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
datt256 raw s100 raw s55 raw tbfp-network raw neos-4531126-vouga raw

Instance Summary

The table below contains summary information for supportcase6, the five most similar instances to supportcase6 according to the MIC, and the five most similar instances to supportcase6 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance supportcase6 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 0.000000 -
MIC Top 5 neos-4760493-puerua [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 0.798088 1
sorrell4 [MIPLIB] Toni Sorrell These instances are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 0.925433 2
t1717 [MIPLIB] R. Borndörfer Vehicle scheduling set partitioning problem from Berlin's Telebus handicapped people's transportation system 0.931221 3
scpk4 [MIPLIB] Shunji Umetani This is a random test instance 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 instances. We have also generated reduced instances 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 instance generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark 0.938475 4
core4284-1064 [MIPLIB] A. Caprara, M. Fischetti, P. Toth Set covering instance coming from Italian railway models 0.940465 5
MIPLIB Top 5 datt256 [MIPLIB] Jon Dattorro Model to find solution to the ``Eternity II'' puzzle 1.906906 72
s100 [MIPLIB] Daniel Espinoza Wine Scheduling problem with 100 jobs and four processing machines 3.020925 385
s55 [MIPLIB] Daniel Espinoza Wine Scheduling problem with 55 jobs and four processing machines 3.072616 439
tbfp-network [MIPLIB] Rob Pratt Two formulations (big-M and network-based) for traveling baseball fan problem. Uses data from 2014 Major League Baseball regular season. Paper uses 2014 data: http://support.sas.com/resources/papers/proceedings14/SAS101-2014.pdf Blog post uses 2015 data: http://blogs.sas.com/content/operations/2015/04/03/the-traveling-baseball-fan-problem/ 3.167296 536
neos-4531126-vouga [MIPLIB] Jeff Linderoth (None provided) 3.367214 816


supportcase6: 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: iis Model group: neos-pseudoapplication-106 Model group: 2hopcds Model group: mod Model group: assign1
Name iis neos-pseudoapplication-106 2hopcds mod assign1
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 / 1.068 2 / 1.112 3 / 1.138 4 / 1.433 5 / 1.436

Model Group Summary

The table below contains summary information for the five most similar model groups to supportcase6 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 iis Marc Pfetsch 23 "middlehard" Set-Covering Models for MIPLIB: they have a small number of variables compared to the number of constraints and CPLEX 12.1 needs about one hour to solve them.For more information, have a look into the readme file which explains how the models can be created. 1.068258 1
neos-pseudoapplication-106 Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 1.111814 2
2hopcds Austin Buchanan A problem in wireless networks. The objective is to select a minimum number of relay nodes so that any two nonadjacent nodes can communicate by way of the chosen relay nodes in at most s hops, where s is a problem input. The 2-hop case of this problem can be formulated as a set cover/hitting set problem with n binary variables and n^2 constraints: _{ k N(i) N(j) } x_k 1 for nonadjacent node pairs {i,j}. Despite the formulation's simplicity, models with as few as 120 variables are left unsolved after one hour using Gurobi 7.0.2. 1.138197 3
mod MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.433180 4
assign1 Robert Fourer Imported from the MIPLIB2010 submissions. 1.435539 5


Updated August 16, 2019