splice1k1: 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 (splice1k1)

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

splice1k1 Raw splice1k1 Decomposed splice1k1 Composite of MIC top 5 splice1k1 Composite of MIPLIB top 5 splice1k1 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.
k1mushroom decomposed scpm1 decomposed b-ball decomposed stein15inf decomposed stein9inf decomposed
Name k1mushroom [MIPLIB] scpm1 [MIPLIB] b-ball [MIPLIB] stein15inf [MIPLIB] stein9inf [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 / 1.162 3 / 1.181 4 / 1.185 5 / 1.223
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
k1mushroom raw scpm1 raw b-ball raw stein15inf raw stein9inf 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.
k1mushroom decomposed hypothyroid-k1 decomposed neos-2991472-kalu decomposed supportcase18 decomposed usafa decomposed
Name k1mushroom [MIPLIB] hypothyroid-k1 [MIPLIB] neos-2991472-kalu [MIPLIB] supportcase18 [MIPLIB] k1mushroom** [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 73 / 1.390 472 / 1.685 828 / 2.154 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.
k1mushroom raw hypothyroid-k1 raw neos-2991472-kalu raw supportcase18 raw usafa raw

Instance Summary

The table below contains summary information for splice1k1, the five most similar instances to splice1k1 according to the MIC, and the five most similar instances to splice1k1 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance 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 0.000000 -
MIC Top 5 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 0.962478 1
scpm1 [MIPLIB] Shunji Umetani This is a random test instance 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 instances. We have also generated reduced instances 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 instance generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark 1.161899 2
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. 1.181309 3
stein15inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.185466 4
stein9inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.222575 5
MIPLIB Top 5 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 0.962478 1
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 1.390248 73
neos-2991472-kalu [MIPLIB] Jeff Linderoth (None provided) 1.684780 472
supportcase18 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 2.153529 828
k1mushroom** [MIPLIB] Christopher Daniel Richards Population Complete Timetabling Problem for the United States Air Force Academy N.A.** N.A.**


splice1k1: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: splice
Assigned Model Group Rank/ISS in the MIC: 2 / 1.432

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: scp Model group: splice Model group: stein Model group: markshare Model group: neos-pseudoapplication-74
Name scp splice stein markshare neos-pseudoapplication-74
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 / 1.391 2 / 1.433 3 / 1.510 4 / 1.638 5 / 1.647

Model Group Summary

The table below contains summary information for the five most similar model groups to splice1k1 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 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 1.390895 1
splice 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 1.432683 2
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.510060 3
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.638204 4
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.647194 5


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

Updated August 16, 2019