tr12-30: Instance-to-Instance Comparison Results

Type: Instance
Submitter: MIPLIB submission pool
Description: Imported from the MIPLIB2010 submissions.
MIPLIB Entry

Parent Instance (tr12-30)

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

tr12-30 Raw tr12-30 Decomposed tr12-30 Composite of MIC top 5 tr12-30 Composite of MIPLIB top 5 tr12-30 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.
ran12x21 decomposed supportcase29 decomposed germany50-UUM decomposed graph20-80-1rand decomposed aflow40b decomposed
Name ran12x21 [MIPLIB] supportcase29 [MIPLIB] germany50-UUM [MIPLIB] graph20-80-1rand [MIPLIB] aflow40b [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 / 0.413 2 / 0.453 3 / 0.463 4 / 0.471 5 / 0.474
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
ran12x21 raw supportcase29 raw germany50-UUM raw graph20-80-1rand raw aflow40b 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.
exp-1-500-5-5 decomposed neos-3754480-nidda decomposed bg512142 decomposed dg012142 decomposed set3-09 decomposed
Name exp-1-500-5-5 [MIPLIB] neos-3754480-nidda [MIPLIB] bg512142 [MIPLIB] dg012142 [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.
164 / 0.836 373 / 1.302 391 / 1.326 726 / 1.825 262* / 1.082*
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
exp-1-500-5-5 raw neos-3754480-nidda raw bg512142 raw dg012142 raw set3-09 raw

Instance Summary

The table below contains summary information for tr12-30, the five most similar instances to tr12-30 according to the MIC, and the five most similar instances to tr12-30 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance tr12-30 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 ran12x21 [MIPLIB] J. Aronson Fixed charge transportation problem 0.413237 1
supportcase29 [MIPLIB] Domenico Salvagnin Instance coming from IBM developerWorks forum with unknown application. 0.452617 2
germany50-UUM [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.462920 3
graph20-80-1rand [MIPLIB] Michael Bastubbe Packing Cuts in Undirected Graphs. Instances are described in 4.1. 0.470833 4
aflow40b [MIPLIB] T. Achterberg Arborescence flow problem on a graph with 40 nodes and edge density 0.9 0.474375 5
MIPLIB Top 5 exp-1-500-5-5 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.836155 164
neos-3754480-nidda [MIPLIB] Jeff Linderoth (None provided) 1.301917 373
bg512142 [MIPLIB] A. Miller Multilevel lot-sizing instance. 1.326106 391
dg012142 [MIPLIB] A. Miller Multilevel lot-sizing instance This instance was solved by using 256 cores of the distributed-memory supercomputer Fujitsu PRIMERGY RX200S5 (http://www.ism.ac.jp/computer_system/eng/sc/super.html). The problem was solved by ParaSCIP in approximately 43 hours. 1.825141 726
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. 1.082008* 262*


tr12-30: 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: sp_product Model group: neos-pseudoapplication-2 Model group: seqsolve Model group: ab Model group: noip
Name sp_product neos-pseudoapplication-2 seqsolve ab noip
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 / 0.712 2 / 0.715 3 / 0.814 4 / 0.875 5 / 0.876

Model Group Summary

The table below contains summary information for the five most similar model groups to tr12-30 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 sp_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.712031 1
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.715205 2
seqsolve Irv Lustig The 3 problems in this group (seqsolve1-seqsolve3) represent a hierarchical optimization process, which is derived from a customer problem for assigning people to sites into blocks of time on days of the week. The specialty of this submission is that the best known solution for seqsolveX can be used as a MIP start for seqsolveX+1. For a description of the connections between the problems, please refer to the README.txt contained in the model data for this submission, which also includes MIP start files and a Gurobi log file. 0.813679 3
ab MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.875252 4
noip Christopher Hojny integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists 0.876224 5


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