ic97_potential: Instance-to-Instance Comparison Results

Type: Instance
Submitter: L. Peeters
Description: A model for cyclic railway timetable optimization
MIPLIB Entry

Parent Instance (ic97_potential)

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

ic97_potential Raw ic97_potential Decomposed ic97_potential Composite of MIC top 5 ic97_potential Composite of MIPLIB top 5 ic97_potential 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-3610040-iskar decomposed neos-3611447-jijia decomposed neos-3611689-kaihu decomposed neos-3610051-istra decomposed neos-3610173-itata decomposed
Name neos-3610040-iskar [MIPLIB] neos-3611447-jijia [MIPLIB] neos-3611689-kaihu [MIPLIB] neos-3610051-istra [MIPLIB] neos-3610173-itata [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 / 0.919 2 / 0.924 3 / 0.954 4 / 1.012 5 / 1.032
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-3610040-iskar raw neos-3611447-jijia raw neos-3611689-kaihu raw neos-3610051-istra raw neos-3610173-itata 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.
supportcase26 decomposed icir97_potential decomposed neos-5115478-kaveri decomposed timtab1 decomposed neos-5107597-kakapo decomposed
Name supportcase26 [MIPLIB] icir97_potential [MIPLIB] neos-5115478-kaveri [MIPLIB] timtab1 [MIPLIB] neos-5107597-kakapo* [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.
7 / 1.123 12 / 1.163 40 / 1.255 86 / 1.324 40* / 1.255*
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
supportcase26 raw icir97_potential raw neos-5115478-kaveri raw timtab1 raw neos-5107597-kakapo raw

Instance Summary

The table below contains summary information for ic97_potential, the five most similar instances to ic97_potential according to the MIC, and the five most similar instances to ic97_potential according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance ic97_potential [MIPLIB] L. Peeters A model for cyclic railway timetable optimization 0.000000 -
MIC Top 5 neos-3610040-iskar [MIPLIB] Jeff Linderoth (None provided) 0.919261 1
neos-3611447-jijia [MIPLIB] Jeff Linderoth (None provided) 0.923541 2
neos-3611689-kaihu [MIPLIB] Jeff Linderoth (None provided) 0.954052 3
neos-3610051-istra [MIPLIB] Jeff Linderoth (None provided) 1.012218 4
neos-3610173-itata [MIPLIB] Jeff Linderoth (None provided) 1.031962 5
MIPLIB Top 5 supportcase26 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 1.122880 7
icir97_potential [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.162983 12
neos-5115478-kaveri [MIPLIB] Jeff Linderoth (None provided) 1.254551 40
timtab1 [MIPLIB] C. Liebchen, R. Möhring Public transport scheduling problem 1.323844 86
neos-5107597-kakapo* [MIPLIB] Jeff Linderoth (None provided) 1.254551* 40*


ic97_potential: 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: scp Model group: hypothyroid Model group: neos-pseudoapplication-91 Model group: stein Model group: supportvectormachine
Name scp hypothyroid neos-pseudoapplication-91 stein 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 / 1.482 2 / 1.485 3 / 1.538 4 / 1.539 5 / 1.620

Model Group Summary

The table below contains summary information for the five most similar model groups to ic97_potential according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 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 1.481548 1
hypothyroid Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 1.485353 2
neos-pseudoapplication-91 Jeff Linderoth (None provided) 1.538359 3
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.539111 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 1.619601 5


* neos-5107597-kakapo is a duplicate of neos-5115478-kaveri.