bmocbd2: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Sean MacDermant
Description: BMOCBD2
MIPLIB Entry

Parent Instance (bmocbd2)

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

bmocbd2 Raw bmocbd2 Decomposed bmocbd2 Composite of MIC top 5 bmocbd2 Composite of MIPLIB top 5 bmocbd2 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.
bmocbd decomposed 22433 decomposed assign1-5-8 decomposed supportcase21i decomposed gen-ip016 decomposed
Name bmocbd [MIPLIB] 22433 [MIPLIB] assign1-5-8 [MIPLIB] supportcase21i [MIPLIB] gen-ip016 [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 / 0.252 2 / 1.430 3 / 1.497 4 / 1.520 5 / 1.528
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
bmocbd raw 22433 raw assign1-5-8 raw supportcase21i raw gen-ip016 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.
bmocbd decomposed bmoipr2 decomposed cmflsp60-36-2-6 decomposed nb10tb decomposed splan1 decomposed
Name bmocbd [MIPLIB] bmoipr2 [MIPLIB] cmflsp60-36-2-6 [MIPLIB] nb10tb [MIPLIB] bmocbd** [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 / 0.252 148 / 1.919 703 / 2.172 899 / 2.345 N.A.** / N.A.**
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
bmocbd raw bmoipr2 raw cmflsp60-36-2-6 raw nb10tb raw splan1 raw

Instance Summary

The table below contains summary information for bmocbd2, the five most similar instances to bmocbd2 according to the MIC, and the five most similar instances to bmocbd2 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance bmocbd2 [MIPLIB] Sean MacDermant BMOCBD2 0.000000 -
MIC Top 5 bmocbd [MIPLIB] Sean MacDermant BMO CBD 0.252191 1
22433 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.430462 2
assign1-5-8 [MIPLIB] Robert Fourer Imported from the MIPLIB2010 submissions. 1.496834 3
supportcase21i [MIPLIB] Michael Winkler MIP with Indicator instances collected from Gurobi forum with unknown application 1.519957 4
gen-ip016 [MIPLIB] Simon Bowly Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. Solved with XPRESS in a few seconds. 1.528263 5
MIPLIB Top 5 bmocbd [MIPLIB] Sean MacDermant BMO CBD 0.252191 1
bmoipr2 [MIPLIB] Sean MacDermant BMO IPR2 Logistics 1.919298 148
cmflsp60-36-2-6 [MIPLIB] Andrea Arias Capacitated Multi-Family Lot-Sizing Problem 2.172379 703
nb10tb [MIPLIB] Serge Bisaillon Forestry industry model 2.344510 899
bmocbd** [MIPLIB] C. Helmberg, A. Lau University course timetabling instance N.A.** N.A.**


bmocbd2: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: bmocbd
Assigned Model Group Rank/ISS in the MIC: 1 / 0.249

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: bmocbd Model group: scp Model group: neos-pseudoapplication-21 Model group: stein Model group: markshare
Name bmocbd scp neos-pseudoapplication-21 stein markshare
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 / 0.249 2 / 1.687 3 / 1.708 4 / 1.751 5 / 1.797

Model Group Summary

The table below contains summary information for the five most similar model groups to bmocbd2 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 bmocbd Sean MacDermant BMOCBD2 0.249069 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 1.686890 2
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.708144 3
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.751064 4
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.797161 5


** splan1 could not be decomposed by GCG, and was not included in our dataset.