neos-686190: Instance-to-Instance Comparison Results

Type: Instance
Submitter: NEOS Server Submission
Description: Instance coming from the NEOS Server with unknown application
MIPLIB Entry

Parent Instance (neos-686190)

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

neos-686190 Raw neos-686190 Decomposed neos-686190 Composite of MIC top 5 neos-686190 Composite of MIPLIB top 5 neos-686190 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.
ns1849932 decomposed neos-631710 decomposed tanglegram4 decomposed fhnw-schedule-paira100 decomposed fhnw-schedule-paira200 decomposed
Name ns1849932 [MIPLIB] neos-631710 [MIPLIB] tanglegram4 [MIPLIB] fhnw-schedule-paira100 [MIPLIB] fhnw-schedule-paira200 [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 / 0.560 2 / 0.637 3 / 0.675 4 / 0.690 5 / 0.699
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
ns1849932 raw neos-631710 raw tanglegram4 raw fhnw-schedule-paira100 raw fhnw-schedule-paira200 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.
lectsched-5-obj decomposed neos-2294525-abba decomposed lectsched-4-obj decomposed neos-1456979 decomposed neos16 decomposed
Name lectsched-5-obj [MIPLIB] neos-2294525-abba [MIPLIB] lectsched-4-obj [MIPLIB] neos-1456979 [MIPLIB] neos16 [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.
133 / 0.964 268 / 1.219 274 / 1.226 340 / 1.309 346 / 1.318
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
lectsched-5-obj raw neos-2294525-abba raw lectsched-4-obj raw neos-1456979 raw neos16 raw

Instance Summary

The table below contains summary information for neos-686190, the five most similar instances to neos-686190 according to the MIC, and the five most similar instances to neos-686190 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-686190 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.000000 -
MIC Top 5 ns1849932 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application. 0.559941 1
neos-631710 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application. Solved with Gurobi 4.6.1 (12 threads) in 1264.7 sec. 0.637202 2
tanglegram4 [MIPLIB] Falk Hueffner The NP-hard Balanced Subgraph problem (variant of MaxCut) encoded as ILPs. Real-world instances 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). 0.675127 3
fhnw-schedule-paira100 [MIPLIB] Simon Felix Continuous-time project scheduling and selection, inspired by an industry use-case. Each project has a value, the sum should be maximized. Each project has a deadline, and an earliest start date. Three formulations of the same problem ("Pair A", "Pair B" and "Slot") - we expect "Pair B" to be the best formulation. 0.690124 4
fhnw-schedule-paira200 [MIPLIB] Simon Felix Continuous-time project scheduling and selection, inspired by an industry use-case. Each project has a value, the sum should be maximized. Each project has a deadline, and an earliest start date. Three formulations of the same problem ("Pair A", "Pair B" and "Slot") - we expect "Pair B" to be the best formulation. 0.698687 5
MIPLIB Top 5 lectsched-5-obj [MIPLIB] Harald Schilly scheduling lectures at university - smaller subset of data with objective to minimize certain overlappings 0.963824 133
neos-2294525-abba [MIPLIB] Jeff Linderoth (None provided) 1.218701 268
lectsched-4-obj [MIPLIB] Harald Schilly University lecture scheduling instance 1.226302 274
neos-1456979 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.308823 340
neos16 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.317660 346


neos-686190: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-60
Assigned Model Group Rank/ISS in the MIC: 1 / 0.514

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-60 Model group: ab Model group: sp_product Model group: seqsolve Model group: neos-pseudoapplication-2
Name neos-pseudoapplication-60 ab sp_product seqsolve neos-pseudoapplication-2
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 / 0.515 2 / 0.937 3 / 0.947 4 / 0.965 5 / 0.977

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-686190 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-60 NEOS Server Submission Model coming from the NEOS Server with unknown application 0.514787 1
ab MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.937248 2
sp_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.946900 3
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. 0.964781 4
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.977330 5


Updated August 16, 2019