uct-subprob: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Gerald Lach
Description: Subproblem of a university course timetabling problem. Switched to "easy" because it was solved by Gurobi 5.0 in 2106 seconds (May 2012).
MIPLIB Entry

Parent Instance (uct-subprob)

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

uct-subprob Raw uct-subprob Decomposed uct-subprob Composite of MIC top 5 uct-subprob Composite of MIPLIB top 5 uct-subprob 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.
icir97_potential decomposed shiftreg5-1 decomposed rd-rplusc-21 decomposed neos-3611447-jijia decomposed neos-950242 decomposed
Name icir97_potential [MIPLIB] shiftreg5-1 [MIPLIB] rd-rplusc-21 [MIPLIB] neos-3611447-jijia [MIPLIB] neos-950242 [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 / 1.105 2 / 1.224 3 / 1.253 4 / 1.261 5 / 1.261
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
icir97_potential raw shiftreg5-1 raw rd-rplusc-21 raw neos-3611447-jijia raw neos-950242 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.
probportfolio decomposed neos-911970 decomposed 10teams decomposed air04 decomposed air05 decomposed
Name probportfolio [MIPLIB] neos-911970 [MIPLIB] 10teams [MIPLIB] air04 [MIPLIB] air05 [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.
309 / 1.811 499 / 1.908 595 / 1.983 950 / 2.890 959 / 3.032
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
probportfolio raw neos-911970 raw 10teams raw air04 raw air05 raw

Instance Summary

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

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance uct-subprob [MIPLIB] Gerald Lach Subproblem of a university course timetabling problem. Switched to "easy" because it was solved by Gurobi 5.0 in 2106 seconds (May 2012). 0.000000 -
MIC Top 5 icir97_potential [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.104817 1
shiftreg5-1 [MIPLIB] Domenico Salvagnin Multi-activity shift scheduling problem with 5 activities and 24 employees, using an implicit model based on a regular language. 1.224407 2
rd-rplusc-21 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.252903 3
neos-3611447-jijia [MIPLIB] Jeff Linderoth (None provided) 1.261265 4
neos-950242 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.261389 5
MIPLIB Top 5 probportfolio [MIPLIB] Feng Qiu Sample average approximation formulation of a probabilistic portfolio optimization problem. Solved using ug[SCIP/spx], a distributed massively parallel version of SCIP run on 2,000 cores at the HLRN-II super computer facility. 1.811285 309
neos-911970 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.908098 499
10teams [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.983480 595
air04 [MIPLIB] G. Astfalk Airline crew scheduling set partitioning problem 2.890471 950
air05 [MIPLIB] G. Astfalk Airline crew scheduling set partitioning problem 3.031565 959


uct-subprob: 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: hypothyroid Model group: scp Model group: neos-pseudoapplication-54 Model group: stein Model group: neos-pseudoapplication-91
Name hypothyroid scp neos-pseudoapplication-54 stein neos-pseudoapplication-91
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 / 1.695 2 / 1.740 3 / 1.879 4 / 1.883 5 / 1.912

Model Group Summary

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

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 hypothyroid 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 1.695373 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 1.739613 2
neos-pseudoapplication-54 Jeff Linderoth (None provided) 1.879397 3
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.883050 4
neos-pseudoapplication-91 Jeff Linderoth (None provided) 1.911998 5


Updated August 16, 2019