bab6: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Elmar Swarat
Description: Vehicle routing with profit and an integrated crew scheduling like bab2 - bab5. Instances differ in multi-commodity-flow formulation (path oder arc formulation) or time discretization and some are quite easy to solve while others (bab2, bab3 and bab6) are very difficult.
MIPLIB Entry

Parent Instance (bab6)

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

bab6 Raw bab6 Decomposed bab6 Composite of MIC top 5 bab6 Composite of MIPLIB top 5 bab6 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.
neos-3661949-lesse decomposed neos-2746589-doon decomposed mik-250-20-75-5 decomposed gsvm2rl5 decomposed gsvm2rl9 decomposed
Name neos-3661949-lesse [MIPLIB] neos-2746589-doon [MIPLIB] mik-250-20-75-5 [MIPLIB] gsvm2rl5 [MIPLIB] gsvm2rl9 [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 / 1.129 2 / 1.131 3 / 1.143 4 / 1.145 5 / 1.152
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-3661949-lesse raw neos-2746589-doon raw mik-250-20-75-5 raw gsvm2rl5 raw gsvm2rl9 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.
rail03 decomposed rail02 decomposed rail01 decomposed bab5 decomposed bab2 decomposed
Name rail03 [MIPLIB] rail02 [MIPLIB] rail01 [MIPLIB] bab5 [MIPLIB] bab2 [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.
251 / 1.592 377 / 1.677 398 / 1.691 672 / 1.878 785 / 2.022
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
rail03 raw rail02 raw rail01 raw bab5 raw bab2 raw

Instance Summary

The table below contains summary information for bab6, the five most similar instances to bab6 according to the MIC, and the five most similar instances to bab6 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance bab6 [MIPLIB] Elmar Swarat Vehicle routing with profit and an integrated crew scheduling like bab2 - bab5. Instances differ in multi-commodity-flow formulation (path oder arc formulation) or time discretization and some are quite easy to solve while others (bab2, bab3 and bab6) are very difficult. 0.000000 -
MIC Top 5 neos-3661949-lesse [MIPLIB] Jeff Linderoth (None provided) 1.128867 1
neos-2746589-doon [MIPLIB] Jeff Linderoth (None provided) 1.130615 2
mik-250-20-75-5 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.142547 3
gsvm2rl5 [MIPLIB] Toni Sorrell Suport vector machine with ramp loss. GSVM2-RL is the formulation found in Hess E. and Brooks P. (2015) paper, The Support Vector Machine and Mixed Integer Linear Programming: Ramp Loss SVM with L1-Norm Regularization 1.145027 4
gsvm2rl9 [MIPLIB] Toni Sorrell Suport vector machine with ramp loss. GSVM2-RL is the formulation found in Hess E. and Brooks P. (2015) paper, The Support Vector Machine and Mixed Integer Linear Programming: Ramp Loss SVM with L1-Norm Regularization 1.152421 5
MIPLIB Top 5 rail03 [MIPLIB] Thomas Schlechte Track allocation problem modeled as arc coupling problem The problem was solved by CPLEX 12.4. It took approximately 170 hours. 1.592023 251
rail02 [MIPLIB] Thomas Schlechte Track allocation problem modeled as arc coupling problem 1.676555 377
rail01 [MIPLIB] Thomas Schlechte Track allocation problem modeled as arc coupling problem 1.691012 398
bab5 [MIPLIB] Elmar Swarat Vehicle routing with profits and an integrated crew scheduling problem formulated by two coupled multi-commodity flow problems 1.877535 672
bab2 [MIPLIB] Elmar Swarat Vehicle Routing with profits and an integrated crew scheduling formulated by two coupled multi-commodity flow problems. 2.022234 785


bab6: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: bab
Assigned Model Group Rank/ISS in the MIC: 216 / 3.659

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: neos-pseudoapplication-4 Model group: neos-pseudoapplication-108 Model group: mik_250 Model group: drayage Model group: supportvectormachine
Name neos-pseudoapplication-4 neos-pseudoapplication-108 mik_250 drayage supportvectormachine
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 / 1.816 2 / 1.820 3 / 1.846 4 / 1.948 5 / 1.974

Model Group Summary

The table below contains summary information for the five most similar model groups to bab6 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-4 Jeff Linderoth (None provided) 1.816102 1
neos-pseudoapplication-108 NEOS Server Submission Model coming from the NEOS Server with unknown application 1.820277 2
mik_250 MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.845694 3
drayage F. Jordan Srour The .rar file contains three folders: 1) R_mps with all of the models (165, organized into 5 groups R0_, R25_, R50_, R75_, and R100_*), 2) results_and_runtimes with datafiles on the runtime and results, and 3) doc with documentation on the models in the form of a pdf. 1.948346 4
supportvectormachine Toni Sorrell Suport vector machine with ramp loss. GSVM2-RL is the formulation found in Hess E. and Brooks P. (2015) paper, The Support Vector Machine and Mixed Integer Linear Programming: Ramp Loss SVM with L1-Norm Regularization 1.974056 5