rococoC11-010100: Instance-to-Instance Comparison Results

Type: Instance
Submitter: A. Chabrier, E. Danna, C. Le Pape, L. Perron
Description: Model for dimensioning the arc capacities in a telecommunication network.
MIPLIB Entry

Parent Instance (rococoC11-010100)

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

rococoC11-010100 Raw rococoC11-010100 Decomposed rococoC11-010100 Composite of MIC top 5 rococoC11-010100 Composite of MIPLIB top 5 rococoC11-010100 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.
rococoB10-011000 decomposed tbfp-bigm decomposed rococoC12-010001 decomposed rococoC10-001000 decomposed rococoC11-011100 decomposed
Name rococoB10-011000 [MIPLIB] tbfp-bigm [MIPLIB] rococoC12-010001 [MIPLIB] rococoC10-001000 [MIPLIB] rococoC11-011100 [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 / 0.602 2 / 0.638 3 / 0.644 4 / 0.803 5 / 0.821
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
rococoB10-011000 raw tbfp-bigm raw rococoC12-010001 raw rococoC10-001000 raw rococoC11-011100 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.
rococoB10-011000 decomposed rococoC12-010001 decomposed rococoC10-001000 decomposed rococoC11-011100 decomposed qnet1_o decomposed
Name rococoB10-011000 [MIPLIB] rococoC12-010001 [MIPLIB] rococoC10-001000 [MIPLIB] rococoC11-011100 [MIPLIB] qnet1_o [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 / 0.602 3 / 0.644 4 / 0.803 5 / 0.821 616 / 1.873
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
rococoB10-011000 raw rococoC12-010001 raw rococoC10-001000 raw rococoC11-011100 raw qnet1_o raw

Instance Summary

The table below contains summary information for rococoC11-010100, the five most similar instances to rococoC11-010100 according to the MIC, and the five most similar instances to rococoC11-010100 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance rococoC11-010100 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network. 0.000000 -
MIC Top 5 rococoB10-011000 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network 0.601593 1
tbfp-bigm [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/ 0.638024 2
rococoC12-010001 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network. 0.644174 3
rococoC10-001000 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network 0.802798 4
rococoC11-011100 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network. Solved by Gurobi 4.5.1 (4 threads) in 66892.47 seconds. 0.820580 5
MIPLIB Top 5 rococoB10-011000 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network 0.601593 1
rococoC12-010001 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network. 0.644174 3
rococoC10-001000 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network 0.802798 4
rococoC11-011100 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network. Solved by Gurobi 4.5.1 (4 threads) in 66892.47 seconds. 0.820580 5
qnet1_o [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.873255 616


rococoC11-010100: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: rococo
Assigned Model Group Rank/ISS in the MIC: 1 / 1.352

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: rococo Model group: scp Model group: markshare Model group: ustun Model group: map
Name rococo scp markshare ustun map
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 / 1.353 2 / 1.732 3 / 1.733 4 / 1.771 5 / 1.774

Model Group Summary

The table below contains summary information for the five most similar model groups to rococoC11-010100 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 rococo A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network. Solved by Gurobi 4.5.1 (4 threads) in 66892.47 seconds. 1.352607 1
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 1.731620 2
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.732521 3
ustun Berk Ustun MIP to create optimized data-driven scoring systems. See: https://github.com/ustunb/miplib2017-slim#miplib2017-slim for a description. 1.770659 4
map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 1.774293 5