fhnw-schedule-pairb400: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Simon Felix
Description: 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.
MIPLIB Entry

Parent Instance (fhnw-schedule-pairb400)

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

fhnw-schedule-pairb400 Raw fhnw-schedule-pairb400 Decomposed fhnw-schedule-pairb400 Composite of MIC top 5 fhnw-schedule-pairb400 Composite of MIPLIB top 5 fhnw-schedule-pairb400 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.
fhnw-schedule-pairb200 decomposed snip10x10-35r1budget17 decomposed 8div-n59k12 decomposed 8div-n59k10 decomposed 8div-n59k11 decomposed
Name fhnw-schedule-pairb200 [MIPLIB] snip10x10-35r1budget17 [MIPLIB] 8div-n59k12 [MIPLIB] 8div-n59k10 [MIPLIB] 8div-n59k11 [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 / 0.264 2 / 0.845 3 / 0.845 4 / 0.846 5 / 0.850
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
fhnw-schedule-pairb200 raw snip10x10-35r1budget17 raw 8div-n59k12 raw 8div-n59k10 raw 8div-n59k11 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.
fhnw-schedule-pairb200 decomposed neos-3209462-rhin decomposed ns1828997 decomposed neos-3283608-agout decomposed neos-4300652-rahue decomposed
Name fhnw-schedule-pairb200 [MIPLIB] neos-3209462-rhin [MIPLIB] ns1828997 [MIPLIB] neos-3283608-agout [MIPLIB] neos-4300652-rahue [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 / 0.264 77 / 1.232 89 / 1.249 470 / 1.570 636 / 1.728
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
fhnw-schedule-pairb200 raw neos-3209462-rhin raw ns1828997 raw neos-3283608-agout raw neos-4300652-rahue raw

Instance Summary

The table below contains summary information for fhnw-schedule-pairb400, the five most similar instances to fhnw-schedule-pairb400 according to the MIC, and the five most similar instances to fhnw-schedule-pairb400 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance 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. 0.000000 -
MIC Top 5 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. 0.263725 1
snip10x10-35r1budget17 [MIPLIB] Utz-Uwe Haus Exact MILP reformulation using binary decision diagrams to obtain scenario bundles of 2-stage stochastic expected shortest path and expected maximum flow problem with decision dependent scenario probabilities. Notes: * very few binary variables * for each fixing of the binaries a system of equations computing conditioned probabilities remains 0.844706 2
8div-n59k12 [MIPLIB] Sascha Kurz Projective binary 8-divisible linear block codes A linear block code is called 8-divisible if the weights of its codewords are divisible by 8. It is called projective if there are no duplicate columns in the generator matrix. The possible lengths of 8-divisible linear block codes have been classified except for length n=59, where it is undecided whether such a linear code exists. The possible dimensions satisfy \\(10 \\le k \\le 20\\). Instance 8div_n59_kXX contains the corresponding feasibility problem. Projective binary 8-divisible linear block codes occur as hole configurations of so-called partial solid spreads in finite geometry. Binary 4-divisible linear block codes have applications in physics. 0.845002 3
8div-n59k10 [MIPLIB] Sascha Kurz Projective binary 8-divisible linear block codes A linear block code is called 8-divisible if the weights of its codewords are divisible by 8. It is called projective if there are no duplicate columns in the generator matrix. The possible lengths of 8-divisible linear block codes have been classified except for length n=59, where it is undecided whether such a linear code exists. The possible dimensions satisfy \\(10 \\le k \\le 20\\). Instance 8div_n59_kXX contains the corresponding feasibility problem. Projective binary 8-divisible linear block codes occur as hole configurations of so-called partial solid spreads in finite geometry. Binary 4-divisible linear block codes have applications in physics. 0.845716 4
8div-n59k11 [MIPLIB] Sascha Kurz Projective binary 8-divisible linear block codes A linear block code is called 8-divisible if the weights of its codewords are divisible by 8. It is called projective if there are no duplicate columns in the generator matrix. The possible lengths of 8-divisible linear block codes have been classified except for length n=59, where it is undecided whether such a linear code exists. The possible dimensions satisfy \\(10 \\le k \\le 20\\). Instance 8div_n59_kXX contains the corresponding feasibility problem. Projective binary 8-divisible linear block codes occur as hole configurations of so-called partial solid spreads in finite geometry. Binary 4-divisible linear block codes have applications in physics. 0.849903 5
MIPLIB Top 5 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. 0.263725 1
neos-3209462-rhin [MIPLIB] Jeff Linderoth (None provided) 1.232210 77
ns1828997 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application. 1.249310 89
neos-3283608-agout [MIPLIB] Jeff Linderoth (None provided) 1.570377 470
neos-4300652-rahue [MIPLIB] Jeff Linderoth (None provided) 1.728478 636


fhnw-schedule-pairb400: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: schedule
Assigned Model Group Rank/ISS in the MIC: 4 / 1.555

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: 8div Model group: neos-pseudoapplication-74 Model group: neos-pseudoapplication-95 Model group: schedule Model group: stein
Name 8div neos-pseudoapplication-74 neos-pseudoapplication-95 schedule stein
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 / 1.283 2 / 1.432 3 / 1.466 4 / 1.556 5 / 1.646

Model Group Summary

The table below contains summary information for the five most similar model groups to fhnw-schedule-pairb400 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 8div Sascha Kurz Projective binary 8-divisible linear block codes A linear block code is called 8-divisible if the weights of its codewords are divisible by 8. It is called projective if there are no duplicate columns in the generator matrix. The possible lengths of 8-divisible linear block codes have been classified except for length n=59, where it is undecided whether such a linear code exists. The possible dimensions satisfy \\(10 \\le k \\le 20\\). Model 8div_n59_kXX contains the corresponding feasibility problem. Projective binary 8-divisible linear block codes occur as hole configurations of so-called partial solid spreads in finite geometry. Binary 4-divisible linear block codes have applications in physics. 1.282724 1
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.431798 2
neos-pseudoapplication-95 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.465781 3
schedule 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. 1.555541 4
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.646056 5