mkc: Instance-to-Instance Comparison Results

Type: Instance
Submitter: J. Kalagnanam, M. Dawande
Description: Multiple knapsack problem with color constraints. John Forrest, Laszlo Ladanyi and Jayant Kalagnanam solved this instance by reformulation in 1999.
MIPLIB Entry

Parent Instance (mkc)

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

mkc Raw mkc Decomposed mkc Composite of MIC top 5 mkc Composite of MIPLIB top 5 mkc 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.
seqsolve1 decomposed seqsolve2short4288 decomposed seqsolve3short4288excess384 decomposed neos-914441 decomposed neos-5041756-cobark decomposed
Name seqsolve1 [MIPLIB] seqsolve2short4288 [MIPLIB] seqsolve3short4288excess384 [MIPLIB] neos-914441 [MIPLIB] neos-5041756-cobark [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 / 0.305 2 / 0.305 3 / 0.305 4 / 0.305 5 / 0.313
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
seqsolve1 raw seqsolve2short4288 raw seqsolve3short4288excess384 raw neos-914441 raw neos-5041756-cobark 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.
ab72-40-100 decomposed ab71-20-100 decomposed gus-sch decomposed mkc1 decomposed neos-1337307 decomposed
Name ab72-40-100 [MIPLIB] ab71-20-100 [MIPLIB] gus-sch [MIPLIB] mkc1 [MIPLIB] neos-1337307 [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.
19 / 0.372 23 / 0.385 31 / 0.496 121 / 0.806 191 / 0.977
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
ab72-40-100 raw ab71-20-100 raw gus-sch raw mkc1 raw neos-1337307 raw

Instance Summary

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

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance mkc [MIPLIB] J. Kalagnanam, M. Dawande Multiple knapsack problem with color constraints. John Forrest, Laszlo Ladanyi and Jayant Kalagnanam solved this instance by reformulation in 1999. 0.000000 -
MIC Top 5 seqsolve1 [MIPLIB] 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. 0.304665 1
seqsolve2short4288 [MIPLIB] 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. 0.304764 2
seqsolve3short4288excess384 [MIPLIB] 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. 0.304993 3
neos-914441 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.305285 4
neos-5041756-cobark [MIPLIB] Jeff Linderoth (None provided) 0.313478 5
MIPLIB Top 5 ab72-40-100 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.372146 19
ab71-20-100 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.384897 23
gus-sch [MIPLIB] Alexandra M. Newman course scheduling model 0.495574 31
mkc1 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.806036 121
neos-1337307 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.976833 191


mkc: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: no model group assignment
Assigned Model Group Rank/ISS in the MIC: N.A. / N.A.

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: seqsolve Model group: radiation Model group: ab Model group: n37 Model group: sp_product
Name seqsolve radiation ab n37 sp_product
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 / 0.546 2 / 0.548 3 / 0.621 4 / 0.627 5 / 0.767

Model Group Summary

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

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 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. 0.546434 1
radiation Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 0.547641 2
ab MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.620985 3
n37 J. Aronson Fixed charge transportation problem 0.627034 4
sp_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.767136 5