tbfp-bigm: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Rob Pratt
Description: 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/
MIPLIB Entry

Parent Instance (tbfp-bigm)

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

tbfp-bigm Raw tbfp-bigm Decomposed tbfp-bigm Composite of MIC top 5 tbfp-bigm Composite of MIPLIB top 5 tbfp-bigm 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 rococoC12-010001 decomposed rococoB10-011000 decomposed rococoC10-001000 decomposed rococoC11-011100 decomposed
Name rococoC11-010100 [MIPLIB] rococoC12-010001 [MIPLIB] rococoB10-011000 [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 / 0.638 2 / 0.749 3 / 0.833 4 / 0.935 5 / 0.983
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
rococoC11-010100 raw rococoC12-010001 raw rococoB10-011000 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.
neos-5041756-cobark decomposed ns1760995 decomposed graphdraw-domain decomposed pw-myciel4 decomposed neos-1171448 decomposed
Name neos-5041756-cobark [MIPLIB] ns1760995 [MIPLIB] graphdraw-domain [MIPLIB] pw-myciel4 [MIPLIB] neos-1171448 [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.
80 / 1.218 138 / 1.276 425 / 1.555 779 / 2.074 980 / 3.598
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-5041756-cobark raw ns1760995 raw graphdraw-domain raw pw-myciel4 raw neos-1171448 raw

Instance Summary

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

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance 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/ 0.000000 -
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. 0.638024 1
rococoC12-010001 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network. 0.749019 2
rococoB10-011000 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network 0.832846 3
rococoC10-001000 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network 0.935046 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. 0.982787 5
MIPLIB Top 5 neos-5041756-cobark [MIPLIB] Jeff Linderoth (None provided) 1.217748 80
ns1760995 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application. 1.275633 138
graphdraw-domain [MIPLIB] Cézar Augusto Nascimento e Silva In the Graph Drawing problem a set of symbols must be placed in a plane and their connections routed. The objective is to produce aesthetically pleasant, easy to read diagrams. As a primary concern one usually tries to minimize edges crossing, edges' length, waste of space and number of bents in the connections. When formulated with these constraints the problem becomes NP-Hard . In practice many additional complicating requirements can be included, such as non-uniform sizes for symbols. Thus, some heuristics such as the generalized force-direct method and Simulated Annealing have been proposed to tackle this problem. uses a grid structure to approach the Entity-Relationship (ER) drawing problem, emphasizing the differences between ER drawing and the more classical circuit drawing problems. presented different ways of producing graph layouts (e.g.: tree, orthogonal, visibility representations, hierarchic, among others) for general graphs with applications on different subjects. The ability to automatically produce high quality layouts is very important in many applications, one of these is Software Engineering: the availability of easy to understand ER diagrams, for instance, can improve the time needed for developers to master database models and increase their productivity. Our solution approach involves two phases: (\\(i\\)) firstly the optimal placement of entities is solved, i.e.: entities are positioned so as to minimize the distances between connected entities; and (\\(ii\\)) secondly, edges are routed minimizing bends and avoiding the inclusion of connectors too close. We present the model for the first phase of our problem. 1.555449 425
pw-myciel4 [MIPLIB] Arie Koster Model to compute the pathwidth of Mycielski-4 instance from DIMACS graph coloring database 2.073973 779
neos-1171448 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 3.597764 980


tbfp-bigm: 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: rococo Model group: map Model group: ustun Model group: rmatr Model group: allcolor
Name rococo map ustun rmatr 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 / 1.525 2 / 1.563 3 / 1.571 4 / 1.574 5 / 1.648

Model Group Summary

The table below contains summary information for the five most similar model groups to tbfp-bigm 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. 1.524680 1
map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 1.562523 2
ustun Berk Ustun MIP to create optimized data-driven scoring systems. See: https://github.com/ustunb/miplib2017-slim#miplib2017-slim for a description. 1.570553 3
rmatr Dmitry Krushinsky Model coming from a formulation of the p-Median problem using square cost matrices 1.573670 4
allcolor Domenico Salvagnin Prepack optimization model. 1.648064 5