rocII-10-11: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Joerg Rambau
Description: Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions
MIPLIB Entry

Parent Instance (rocII-10-11)

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

rocII-10-11 Raw rocII-10-11 Decomposed rocII-10-11 Composite of MIC top 5 rocII-10-11 Composite of MIPLIB top 5 rocII-10-11 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.
rocII-8-11 decomposed rocII-5-11 decomposed supportcase43 decomposed ns930473 decomposed fhnw-sq2 decomposed
Name rocII-8-11 [MIPLIB] rocII-5-11 [MIPLIB] supportcase43 [MIPLIB] ns930473 [MIPLIB] fhnw-sq2 [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 / 0.486 2 / 0.600 3 / 1.048 4 / 1.169 5 / 1.215
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
rocII-8-11 raw rocII-5-11 raw supportcase43 raw ns930473 raw fhnw-sq2 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.
rocII-8-11 decomposed rocII-5-11 decomposed fhnw-schedule-pairb200 decomposed fhnw-schedule-pairb400 decomposed net12 decomposed
Name rocII-8-11 [MIPLIB] rocII-5-11 [MIPLIB] fhnw-schedule-pairb200 [MIPLIB] fhnw-schedule-pairb400 [MIPLIB] net12 [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 / 0.486 2 / 0.600 130 / 1.489 146 / 1.495 345 / 1.585
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
rocII-8-11 raw rocII-5-11 raw fhnw-schedule-pairb200 raw fhnw-schedule-pairb400 raw net12 raw

Instance Summary

The table below contains summary information for rocII-10-11, the five most similar instances to rocII-10-11 according to the MIC, and the five most similar instances to rocII-10-11 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance rocII-10-11 [MIPLIB] Joerg Rambau Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions 0.000000 -
MIC Top 5 rocII-8-11 [MIPLIB] Joerg Rambau Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions 0.486478 1
rocII-5-11 [MIPLIB] Joerg Rambau Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions 0.599772 2
supportcase43 [MIPLIB] Domenico Salvagnin Instance coming from IBM developerWorks forum with unknown application. 1.048207 3
ns930473 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.169054 4
fhnw-sq2 [MIPLIB] Simon Felix Combinatorial toy fesability problem: Magic square. Instances 1 & 2 are feasible, instance 3 is unknown. Reported to be solved after 46883 seconds with ParaSCIP using 72 cores. 1.215252 5
MIPLIB Top 5 rocII-8-11 [MIPLIB] Joerg Rambau Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions 0.486478 1
rocII-5-11 [MIPLIB] Joerg Rambau Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions 0.599772 2
fhnw-schedule-pairb200 [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. 1.489147 130
fhnw-schedule-pairb400 [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. 1.494887 146
net12 [MIPLIB] P. Belotti Network design instance 1.584958 345


rocII-10-11: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: rocI
Assigned Model Group Rank/ISS in the MIC: 1 / 1.914

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: rocI Model group: scp Model group: neos-pseudoapplication-70 Model group: fhnw-sq Model group: neos-pseudoapplication-21
Name rocI scp neos-pseudoapplication-70 fhnw-sq neos-pseudoapplication-21
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 / 1.915 2 / 1.935 3 / 2.008 4 / 2.029 5 / 2.063

Model Group Summary

The table below contains summary information for the five most similar model groups to rocII-10-11 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 rocI Joerg Rambau Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions 1.914980 1
scp Shunji Umetani This is a random test model generator for SCP using the scheme of the following paper, namely the column cost c[j] are integer randomly generated from [1,100]; every column covers at least one row; and every row is covered by at least two columns. see reference: E. Balas and A. Ho, Set covering algorithms using cutting planes, heuristics, and subgradient optimization: A computational study, Mathematical Programming, 12 (1980), 37-60. We have newly generated Classes I-N with the following parameter values, where each class has five models. We have also generated reduced models by a standard pricing method in the following paper: S. Umetani and M. Yagiura, Relaxation heuristics for the set covering problem, Journal of the Operations Research Society of Japan, 50 (2007), 350-375. You can obtain the model generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark 1.935331 2
neos-pseudoapplication-70 NEOS Server Submission Imported from the MIPLIB2010 submissions. 2.007925 3
fhnw-sq Simon Felix Combinatorial toy fesability problem: Magic square. Models 1 & 2 are feasible, model 3 is unknown. 2.029225 4
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 2.063308 5


Updated August 16, 2019