rococoC10-001000: 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 (rococoC10-001000)

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

rococoC10-001000 Raw rococoC10-001000 Decomposed rococoC10-001000 Composite of MIC top 5 rococoC10-001000 Composite of MIPLIB top 5 rococoC10-001000 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.
rococoC11-011100 decomposed rococoB10-011000 decomposed rococoC11-010100 decomposed tbfp-bigm decomposed rococoC12-010001 decomposed
Name rococoC11-011100 [MIPLIB] rococoB10-011000 [MIPLIB] rococoC11-010100 [MIPLIB] tbfp-bigm [MIPLIB] rococoC12-010001 [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 / 0.460 2 / 0.543 3 / 0.803 4 / 0.935 5 / 1.119
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
rococoC11-011100 raw rococoB10-011000 raw rococoC11-010100 raw tbfp-bigm raw rococoC12-010001 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.
rococoC11-011100 decomposed rococoB10-011000 decomposed rococoC11-010100 decomposed qnet1 decomposed qnet1_o decomposed
Name rococoC11-011100 [MIPLIB] rococoB10-011000 [MIPLIB] rococoC11-010100 [MIPLIB] qnet1 [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 / 0.460 2 / 0.543 3 / 0.803 590 / 2.021 599 / 2.025
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
rococoC11-011100 raw rococoB10-011000 raw rococoC11-010100 raw qnet1 raw qnet1_o raw

Instance Summary

The table below contains summary information for rococoC10-001000, the five most similar instances to rococoC10-001000 according to the MIC, and the five most similar instances to rococoC10-001000 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance rococoC10-001000 [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 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. 0.459615 1
rococoB10-011000 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network 0.543048 2
rococoC11-010100 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network. 0.802798 3
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/ 0.935046 4
rococoC12-010001 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network. 1.119321 5
MIPLIB Top 5 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. 0.459615 1
rococoB10-011000 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network 0.543048 2
rococoC11-010100 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network. 0.802798 3
qnet1 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 2.020612 590
qnet1_o [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 2.025199 599


rococoC10-001000: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: rococo
Assigned Model Group Rank/ISS in the MIC: 1 / 1.218

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: markshare Model group: scp Model group: stein Model group: shs
Name rococo markshare scp stein shs
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 / 1.218 2 / 1.980 3 / 1.985 4 / 2.035 5 / 2.048

Model Group Summary

The table below contains summary information for the five most similar model groups to rococoC10-001000 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. 1.218378 1
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.979629 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 1.985437 3
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 2.034575 4
shs Christoph Helmberg Joint online truck scheduling and inventory management for multiple warehouses. 2.048347 5