sp98ar: Instance-to-Instance Comparison Results

Type: Instance
Submitter: J. Goessens, S. v. Hoessel, L. Kroon
Description: Railway line planning instance
MIPLIB Entry

Parent Instance (sp98ar)

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

sp98ar Raw sp98ar Decomposed sp98ar Composite of MIC top 5 sp98ar Composite of MIPLIB top 5 sp98ar 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.
satellites4-25 decomposed sp97ar decomposed satellites3-25 decomposed satellites2-25 decomposed neos-4409277-trave decomposed
Name satellites4-25 [MIPLIB] sp97ar [MIPLIB] satellites3-25 [MIPLIB] satellites2-25 [MIPLIB] neos-4409277-trave [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 / 0.862 2 / 0.909 3 / 0.924 4 / 1.028 5 / 1.037
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
satellites4-25 raw sp97ar raw satellites3-25 raw satellites2-25 raw neos-4409277-trave 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.
sp97ar decomposed sp98ic decomposed sp97ic decomposed n3div36 decomposed neos-1516309 decomposed
Name sp97ar [MIPLIB] sp98ic [MIPLIB] sp97ic [MIPLIB] n3div36 [MIPLIB] neos-1516309 [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.
2 / 0.909 21 / 1.438 73 / 1.764 604 / 2.431 773 / 2.528
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
sp97ar raw sp98ic raw sp97ic raw n3div36 raw neos-1516309 raw

Instance Summary

The table below contains summary information for sp98ar, the five most similar instances to sp98ar according to the MIC, and the five most similar instances to sp98ar according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance sp98ar [MIPLIB] J. Goessens, S. v. Hoessel, L. Kroon Railway line planning instance 0.000000 -
MIC Top 5 satellites4-25 [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. 0.861618 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. 0.909485 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. 0.923874 3
satellites2-25 [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. 1.027839 4
neos-4409277-trave [MIPLIB] Jeff Linderoth Reported solved by ParaSCIP in 441575 seconds using 71 solvers (72 cores). 1.037324 5
MIPLIB Top 5 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. 0.909485 2
sp98ic [MIPLIB] J. Goessens, S. v. Hoessel, L. Kroon Railway line planning instance 1.438185 21
sp97ic [MIPLIB] J. Goessens, S. v. Hoessel, L. Kroon Railway line planning instance 1.764023 73
n3div36 [MIPLIB] R. Meirich Static line planning models on the Dutch IC network. Solved with Gurobi 4.5.1 on a 12-core Linux system in 1700.37 sec. 2.431325 604
neos-1516309 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 2.527866 773


sp98ar: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: sp9
Assigned Model Group Rank/ISS in the MIC: 51 / 2.641

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: satellites Model group: neos-pseudoapplication-108 Model group: fhnw-sq Model group: neos-pseudoapplication-34 Model group: chromaticindex
Name satellites neos-pseudoapplication-108 fhnw-sq neos-pseudoapplication-34 chromaticindex
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 / 1.695 3 / 1.915 4 / 1.941 5 / 1.968

Model Group Summary

The table below contains summary information for the five most similar model groups to sp98ar according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 satellites He Renjie Ihe attachment is some models generated from real life satelliteschedule problem data,these models 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 models. 1.481577 1
neos-pseudoapplication-108 NEOS Server Submission Model coming from the NEOS Server with unknown application 1.695406 2
fhnw-sq Simon Felix Combinatorial toy fesability problem: Magic square. Models 1 & 2 are feasible, model 3 is unknown. 1.915237 3
neos-pseudoapplication-34 NEOS Server Submission Model coming from the NEOS Server with unknown application 1.941233 4
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. 1.967702 5