piperout-d27: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Gleb Belov
Description: Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing
MIPLIB Entry

Parent Instance (piperout-d27)

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

piperout-d27 Raw piperout-d27 Decomposed piperout-d27 Composite of MIC top 5 piperout-d27 Composite of MIPLIB top 5 piperout-d27 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.
piperout-d20 decomposed sp97ar decomposed satellites3-25 decomposed leo2 decomposed leo1 decomposed
Name piperout-d20 [MIPLIB] sp97ar [MIPLIB] satellites3-25 [MIPLIB] leo2 [MIPLIB] leo1 [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 / 0.462 2 / 0.934 3 / 0.998 4 / 1.046 5 / 1.047
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
piperout-d20 raw sp97ar raw satellites3-25 raw leo2 raw leo1 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.
piperout-d20 decomposed neos-555001 decomposed piperout-03 decomposed piperout-08 decomposed piperout-27 decomposed
Name piperout-d20 [MIPLIB] neos-555001 [MIPLIB] piperout-03 [MIPLIB] piperout-08 [MIPLIB] piperout-27 [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 / 0.462 374 / 2.072 845 / 2.390 869 / 2.437 893 / 2.511
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
piperout-d20 raw neos-555001 raw piperout-03 raw piperout-08 raw piperout-27 raw

Instance Summary

The table below contains summary information for piperout-d27, the five most similar instances to piperout-d27 according to the MIC, and the five most similar instances to piperout-d27 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance piperout-d27 [MIPLIB] Gleb Belov Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing 0.000000 -
MIC Top 5 piperout-d20 [MIPLIB] Gleb Belov Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing 0.462326 1
sp97ar [MIPLIB] J. Goessens, S. v. Hoessel, L. Kroon Railway line planning instance. Solved with Gurobi 4.5.1 on a 12-core Linux system in 2678.77 sec. 0.934276 2
satellites3-25 [MIPLIB] He Renjie Ihe attachment is some instances generated from real life satelliteschedule problem data,these instances are easier comparable to real lifeproblem. The work is done by me and Alberto Ceselli from Univeristy ofMilano. I donnot know it is hard enough or not, if needs , I can generatemore difficult instances. 0.998238 3
leo2 [MIPLIB] COR@L test set Instance coming from the COR@L test set with unknown origin 1.046011 4
leo1 [MIPLIB] COR@L test set Instance coming from the COR@L test set with unknown origin 1.046870 5
MIPLIB Top 5 piperout-d20 [MIPLIB] Gleb Belov Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing 0.462326 1
neos-555001 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 2.071970 374
piperout-03 [MIPLIB] Gleb Belov Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing 2.389981 845
piperout-08 [MIPLIB] Gleb Belov Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing 2.437267 869
piperout-27 [MIPLIB] Gleb Belov Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing 2.511363 893


piperout-d27: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: piperout
Assigned Model Group Rank/ISS in the MIC: 17 / 2.038

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-24 Model group: neos-pseudoapplication-104 Model group: neos-pseudoapplication-1 Model group: chromaticindex Model group: neos-pseudoapplication-70
Name neos-pseudoapplication-24 neos-pseudoapplication-104 neos-pseudoapplication-1 chromaticindex neos-pseudoapplication-70
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 / 1.456 2 / 1.549 3 / 1.573 4 / 1.577 5 / 1.580

Model Group Summary

The table below contains summary information for the five most similar model groups to piperout-d27 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-24 Jeff Linderoth (None provided) 1.455861 1
neos-pseudoapplication-104 Jeff Linderoth (None provided) 1.549042 2
neos-pseudoapplication-1 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.572869 3
chromaticindex Pierre Le Bodic Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees. 1.577437 4
neos-pseudoapplication-70 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.580499 5