dano3mip: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Daniel Bienstock
Description: Telecommunications applications
MIPLIB Entry

Parent Instance (dano3mip)

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

dano3mip Raw dano3mip Decomposed dano3mip Composite of MIC top 5 dano3mip Composite of MIPLIB top 5 dano3mip 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.
dano3_3 decomposed dano3_5 decomposed bppc8-09 decomposed neos-5045105-creuse decomposed disctom decomposed
Name dano3_3 [MIPLIB] dano3_5 [MIPLIB] bppc8-09 [MIPLIB] neos-5045105-creuse [MIPLIB] disctom [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 / 0.476 2 / 0.549 3 / 1.695 4 / 1.707 5 / 1.712
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
dano3_3 raw dano3_5 raw bppc8-09 raw neos-5045105-creuse raw disctom 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.
dano3_3 decomposed dano3_5 decomposed misc04inf decomposed ns1111636 decomposed set3-09 decomposed
Name dano3_3 [MIPLIB] dano3_5 [MIPLIB] misc04inf [MIPLIB] ns1111636 [MIPLIB] set3-09* [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 / 0.476 2 / 0.549 224 / 2.507 824 / 2.991 380* / 2.683*
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
dano3_3 raw dano3_5 raw misc04inf raw ns1111636 raw set3-09 raw

Instance Summary

The table below contains summary information for dano3mip, the five most similar instances to dano3mip according to the MIC, and the five most similar instances to dano3mip according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance dano3mip [MIPLIB] Daniel Bienstock Telecommunications applications 0.000000 -
MIC Top 5 dano3_3 [MIPLIB] Daniel Bienstock Telecommunications applications 0.476043 1
dano3_5 [MIPLIB] Daniel Bienstock Telecommunications applications 0.548643 2
bppc8-09 [MIPLIB] Manuel Iori The models that we attach solve the "bar-relaxation", also known as the "Bin Packing Problem with Contiguity" or the "P||Cmax with contiguity". This is one of the most interesting relaxations for two dimensional cutting and packing problems. Its solution by means of an ILP software is the bottleneck of the primal decomposition methods that we attempted in the paper cited below. In detail, the files correspond to model (12)-(15) in the paper, applied to the instances of the Classes 4, 6 and 8 by Martello and Vigo (Management Science, 1998). 1.694511 3
neos-5045105-creuse [MIPLIB] Jeff Linderoth (None provided) 1.707325 4
disctom [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.712196 5
MIPLIB Top 5 dano3_3 [MIPLIB] Daniel Bienstock Telecommunications applications 0.476043 1
dano3_5 [MIPLIB] Daniel Bienstock Telecommunications applications 0.548643 2
misc04inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 2.506738 224
ns1111636 [MIPLIB] NEOS Server Submission Network routing problem. Solved in June 2013 by CPLEX 12.5.1 with 32 threads in about 102 hours. 2.991495 824
set3-09* [MIPLIB] Kerem Akartunali This is joint work with Andrew J. Miller, Universite de Bordeaux 1; RealOpt, INRIA Bordeaux Sud-Ouest, France. Andrew.Miller@math.u-bordeaux1.fr. These are five hard instances chosen from our library MULTILSB (Multi-item Lot-Sizing with Backlogging), which is fully available at (incl. documentation and mosel file):http://personal.strath.ac.uk/kerem.akartunali/research/multi-lsb/ For these 5 instances, gaps remain in the range of >50% after 30 min. (using latest version of FICO on a laptop with i7 processor and 4GB RAM): (first two columns indicate the 30 min-runs, and the last column indicates the best solutions we know at the moment). Computational results for these instances as well as for others of MULTILSB can be found on the website. 2.682596* 380*


dano3mip: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: dano
Assigned Model Group Rank/ISS in the MIC: 1 / 1.459

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: dano Model group: f2gap Model group: neos-pseudoapplication-52 Model group: neos-pseudoapplication-78 Model group: mine
Name dano f2gap neos-pseudoapplication-52 neos-pseudoapplication-78 mine
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 / 1.460 2 / 2.534 3 / 2.564 4 / 2.585 5 / 2.615

Model Group Summary

The table below contains summary information for the five most similar model groups to dano3mip according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 dano Daniel Bienstock Telecommunications applications 1.459614 1
f2gap Salim Haddadi Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 2.533988 2
neos-pseudoapplication-52 Jeff Linderoth (None provided) 2.564151 3
neos-pseudoapplication-78 Jeff Linderoth (None provided) 2.585145 4
mine Andreas Bley Multi-period mine production scheduling model 2.615369 5


* set3-09 is a duplicate of set3-20.