k1mushroom: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Gleb Belov
Description: 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
MIPLIB Entry

Parent Instance (k1mushroom)

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

k1mushroom Raw k1mushroom Decomposed k1mushroom Composite of MIC top 5 k1mushroom Composite of MIPLIB top 5 k1mushroom 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.
splice1k1 decomposed stein9inf decomposed stein15inf decomposed b-ball decomposed markshare_5_0 decomposed
Name splice1k1 [MIPLIB] stein9inf [MIPLIB] stein15inf [MIPLIB] b-ball [MIPLIB] markshare_5_0 [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 / 0.962 2 / 1.019 3 / 1.031 4 / 1.052 5 / 1.090
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
splice1k1 raw stein9inf raw stein15inf raw b-ball raw markshare_5_0 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.
splice1k1 decomposed neos8 decomposed hypothyroid-k1 decomposed neos-2991472-kalu decomposed usafa decomposed
Name splice1k1 [MIPLIB] neos8 [MIPLIB] hypothyroid-k1 [MIPLIB] neos-2991472-kalu [MIPLIB] splice1k1** [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 / 0.962 231 / 1.456 345 / 1.544 480 / 1.648 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.
splice1k1 raw neos8 raw hypothyroid-k1 raw neos-2991472-kalu raw usafa raw

Instance Summary

The table below contains summary information for k1mushroom, the five most similar instances to k1mushroom according to the MIC, and the five most similar instances to k1mushroom according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance k1mushroom [MIPLIB] 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 0.000000 -
MIC Top 5 splice1k1 [MIPLIB] 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 0.962478 1
stein9inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.019088 2
stein15inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.030995 3
b-ball [MIPLIB] Christopher Cullenbine It is a very simple problem, yet CPLEX will not close the MIPGAP. CPLEX seems to get stuck in a loop or something. 1.052304 4
markshare_5_0 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 1.089668 5
MIPLIB Top 5 splice1k1 [MIPLIB] 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 0.962478 1
neos8 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.455831 231
hypothyroid-k1 [MIPLIB] 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 1.544216 345
neos-2991472-kalu [MIPLIB] Jeff Linderoth (None provided) 1.648156 480
splice1k1** [MIPLIB] Christopher Daniel Richards Population Complete Timetabling Problem for the United States Air Force Academy N.A.** N.A.**


k1mushroom: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: k1mushroom
Assigned Model Group Rank/ISS in the MIC: 1 / 1.486

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: k1mushroom Model group: scp Model group: neos-pseudoapplication-74 Model group: markshare Model group: stein
Name k1mushroom scp neos-pseudoapplication-74 markshare 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 / 1.487 2 / 1.507 3 / 1.616 4 / 1.632 5 / 1.637

Model Group Summary

The table below contains summary information for the five most similar model groups to k1mushroom according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 k1mushroom 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 1.486714 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 1.506949 2
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.616255 3
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.632324 4
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.637207 5


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

Updated August 16, 2019