rococoC12-010001: 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 (rococoC12-010001)

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

rococoC12-010001 Raw rococoC12-010001 Decomposed rococoC12-010001 Composite of MIC top 5 rococoC12-010001 Composite of MIPLIB top 5 rococoC12-010001 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.
rococoC11-010100 decomposed tbfp-bigm decomposed polygonpack4-15 decomposed polygonpack4-7 decomposed polygonpack4-10 decomposed
Name rococoC11-010100 [MIPLIB] tbfp-bigm [MIPLIB] polygonpack4-15 [MIPLIB] polygonpack4-7 [MIPLIB] polygonpack4-10 [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 / 0.644 2 / 0.749 3 / 0.761 4 / 0.822 5 / 0.824
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
rococoC11-010100 raw tbfp-bigm raw polygonpack4-15 raw polygonpack4-7 raw polygonpack4-10 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.
rococoC11-010100 decomposed rococoB10-011000 decomposed rococoC10-001000 decomposed rococoC11-011100 decomposed neos-826650 decomposed
Name rococoC11-010100 [MIPLIB] rococoB10-011000 [MIPLIB] rococoC10-001000 [MIPLIB] rococoC11-011100 [MIPLIB] neos-826650 [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 / 0.644 18 / 0.994 56 / 1.119 86 / 1.162 813 / 2.253
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
rococoC11-010100 raw rococoB10-011000 raw rococoC10-001000 raw rococoC11-011100 raw neos-826650 raw

Instance Summary

The table below contains summary information for rococoC12-010001, the five most similar instances to rococoC12-010001 according to the MIC, and the five most similar instances to rococoC12-010001 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance rococoC12-010001 [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 rococoC11-010100 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network. 0.644174 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/ 0.749019 2
polygonpack4-15 [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. 0.760713 3
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. 0.821885 4
polygonpack4-10 [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. 0.823517 5
MIPLIB Top 5 rococoC11-010100 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network. 0.644174 1
rococoB10-011000 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network 0.994372 18
rococoC10-001000 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network 1.119321 56
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. 1.161886 86
neos-826650 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 2.253168 813


rococoC12-010001: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: rococo
Assigned Model Group Rank/ISS in the MIC: 6 / 1.593

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: polygonpack Model group: ustun Model group: rmatr Model group: map Model group: allcolor
Name polygonpack ustun rmatr map allcolor
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 / 1.324 2 / 1.356 3 / 1.361 4 / 1.362 5 / 1.550

Model Group Summary

The table below contains summary information for the five most similar model groups to rococoC12-010001 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 polygonpack 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. Model 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. 1.324310 1
ustun Berk Ustun MIP to create optimized data-driven scoring systems. See: https://github.com/ustunb/miplib2017-slim#miplib2017-slim for a description. 1.355728 2
rmatr Dmitry Krushinsky Model coming from a formulation of the p-Median problem using square cost matrices 1.360605 3
map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 1.361727 4
allcolor Domenico Salvagnin Prepack optimization model. 1.549908 5