bab5: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Elmar Swarat
Description: Vehicle routing with profits and an integrated crew scheduling problem formulated by two coupled multi-commodity flow problems
MIPLIB Entry

Parent Instance (bab5)

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

bab5 Raw bab5 Decomposed bab5 Composite of MIC top 5 bab5 Composite of MIPLIB top 5 bab5 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.
nh97_tension decomposed f2gap40400 decomposed f2gap401600 decomposed gen-ip002 decomposed gen-ip036 decomposed
Name nh97_tension [MIPLIB] f2gap40400 [MIPLIB] f2gap401600 [MIPLIB] gen-ip002 [MIPLIB] gen-ip036 [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 / 1.235 2 / 1.281 3 / 1.322 4 / 1.344 5 / 1.350
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
nh97_tension raw f2gap40400 raw f2gap401600 raw gen-ip002 raw gen-ip036 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.
bab2 decomposed neos-3555904-turama decomposed graph20-80-1rand decomposed bab3 decomposed bab6 decomposed
Name bab2 [MIPLIB] neos-3555904-turama [MIPLIB] graph20-80-1rand [MIPLIB] bab3 [MIPLIB] bab6 [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.
23 / 1.449 25 / 1.459 148 / 1.619 198 / 1.648 659 / 1.878
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
bab2 raw neos-3555904-turama raw graph20-80-1rand raw bab3 raw bab6 raw

Instance Summary

The table below contains summary information for bab5, the five most similar instances to bab5 according to the MIC, and the five most similar instances to bab5 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance bab5 [MIPLIB] Elmar Swarat Vehicle routing with profits and an integrated crew scheduling problem formulated by two coupled multi-commodity flow problems 0.000000 -
MIC Top 5 nh97_tension [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.234814 1
f2gap40400 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.281462 2
f2gap401600 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.321980 3
gen-ip002 [MIPLIB] Simon Bowly Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. 1.343730 4
gen-ip036 [MIPLIB] Simon Bowly Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. 1.349682 5
MIPLIB Top 5 bab2 [MIPLIB] Elmar Swarat Vehicle Routing with profits and an integrated crew scheduling formulated by two coupled multi-commodity flow problems. 1.449210 23
neos-3555904-turama [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 1.458901 25
graph20-80-1rand [MIPLIB] Michael Bastubbe Packing Cuts in Undirected Graphs. Instances are described in 4.1. 1.618639 148
bab3 [MIPLIB] Elmar Swarat Vehicle routing with profits and an integrated crew scheduling problem formulated by two coupled multi-commodity flow problems 1.648143 198
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. 1.877535 659


bab5: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: bab
Assigned Model Group Rank/ISS in the MIC: 99 / 2.664

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: cryptanalysis Model group: neos-pseudoapplication-21 Model group: neos-pseudoapplication-96 Model group: huefner Model group: neos-pseudoapplication-101
Name cryptanalysis neos-pseudoapplication-21 neos-pseudoapplication-96 huefner neos-pseudoapplication-101
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 / 2.061 2 / 2.111 3 / 2.115 4 / 2.124 5 / 2.128

Model Group Summary

The table below contains summary information for the five most similar model groups to bab5 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 cryptanalysis 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 2.061432 1
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 2.110793 2
neos-pseudoapplication-96 NEOS Server Submission Imported from the MIPLIB2010 submissions. 2.115307 3
huefner Falk Hueffner The NP-hard Balanced Subgraph problem (variant of MaxCut) encoded as ILPs. Real-world models from two applications from bioinformatics, finding monotone subsystems in gene regulatory networks (http://dx.doi.org/10.1007/s10878-009-9212-2) and finding optimal layouts of tanglegrams (http://dx.doi.org/10.1007/978-3-642-11269-0). 2.124423 4
neos-pseudoapplication-101 NEOS Server Submission Model coming from the NEOS Server with unknown application. Infeasibility claimed by CPLEX 12.6 and CPLEX 12.6.1 with extreme numerical caution emphasi after 4 and 2 hours computation, respectively. 2.128457 5