chromaticindex512-7: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Pierre Le Bodic
Description: Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees.
MIPLIB Entry

Parent Instance (chromaticindex512-7)

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

chromaticindex512-7 Raw chromaticindex512-7 Decomposed chromaticindex512-7 Composite of MIC top 5 chromaticindex512-7 Composite of MIPLIB top 5 chromaticindex512-7 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.
chromaticindex256-8 decomposed chromaticindex1024-7 decomposed chromaticindex128-5 decomposed chromaticindex32-8 decomposed lr1dr04vc05v17a-t360 decomposed
Name chromaticindex256-8 [MIPLIB] chromaticindex1024-7 [MIPLIB] chromaticindex128-5 [MIPLIB] chromaticindex32-8 [MIPLIB] lr1dr04vc05v17a-t360 [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 / 0.601 2 / 0.630 3 / 0.872 4 / 1.288 5 / 1.338
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
chromaticindex256-8 raw chromaticindex1024-7 raw chromaticindex128-5 raw chromaticindex32-8 raw lr1dr04vc05v17a-t360 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.
chromaticindex256-8 decomposed chromaticindex1024-7 decomposed chromaticindex128-5 decomposed chromaticindex32-8 decomposed netdiversion decomposed
Name chromaticindex256-8 [MIPLIB] chromaticindex1024-7 [MIPLIB] chromaticindex128-5 [MIPLIB] chromaticindex32-8 [MIPLIB] netdiversion [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 / 0.601 2 / 0.630 3 / 0.872 4 / 1.288 457 / 2.382
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
chromaticindex256-8 raw chromaticindex1024-7 raw chromaticindex128-5 raw chromaticindex32-8 raw netdiversion raw

Instance Summary

The table below contains summary information for chromaticindex512-7, the five most similar instances to chromaticindex512-7 according to the MIC, and the five most similar instances to chromaticindex512-7 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance chromaticindex512-7 [MIPLIB] Pierre Le Bodic Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees. 0.000000 -
MIC Top 5 chromaticindex256-8 [MIPLIB] Pierre Le Bodic Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees. 0.601053 1
chromaticindex1024-7 [MIPLIB] Pierre Le Bodic Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees. 0.629595 2
chromaticindex128-5 [MIPLIB] Pierre Le Bodic Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees. 0.872067 3
chromaticindex32-8 [MIPLIB] Pierre Le Bodic Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees. 1.288349 4
lr1dr04vc05v17a-t360 [MIPLIB] Dimitri Papageorgiou Maritime Inventory Routing Problem Library - Group 2 Instances. These instances are available at https://mirplib.scl.gatech.edu/instances, along with a host of additional information such as the underlying data used to generate the model, best known upper and lower bounds, and more. There are three sets of 24 instances (for a total of 72 instances) with a planning horizon of 120, 180, and 360 time periods, respectively. As of March 2016, Cplex and Gurobi could only solve one or two to provably optimality in less than an hour. 1.337622 5
MIPLIB Top 5 chromaticindex256-8 [MIPLIB] Pierre Le Bodic Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees. 0.601053 1
chromaticindex1024-7 [MIPLIB] Pierre Le Bodic Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees. 0.629595 2
chromaticindex128-5 [MIPLIB] Pierre Le Bodic Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees. 0.872067 3
chromaticindex32-8 [MIPLIB] Pierre Le Bodic Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees. 1.288349 4
netdiversion [MIPLIB] Chris Cullenbine Directed network diversion problem 2.382175 457


chromaticindex512-7: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: chromaticindex
Assigned Model Group Rank/ISS in the MIC: 1 / 1.201

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: chromaticindex Model group: neos-pseudoapplication-104 Model group: neos-pseudoapplication-24 Model group: neos-pseudoapplication-85 Model group: rail0
Name chromaticindex neos-pseudoapplication-104 neos-pseudoapplication-24 neos-pseudoapplication-85 rail0
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 / 1.201 2 / 2.058 3 / 2.058 4 / 2.104 5 / 2.166

Model Group Summary

The table below contains summary information for the five most similar model groups to chromaticindex512-7 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 chromaticindex Pierre Le Bodic Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees. 1.201293 1
neos-pseudoapplication-104 Jeff Linderoth (None provided) 2.057635 2
neos-pseudoapplication-24 Jeff Linderoth (None provided) 2.058266 3
neos-pseudoapplication-85 Jeff Linderoth (None provided) 2.104096 4
rail0 Thomas Schlechte Track allocation problem modeled as arc coupling problem The problem was solved by CPLEX 12.4. It took approximately 170 hours. 2.166259 5


Updated August 16, 2019