physiciansched6-1: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Pelin Damci-Kurt
Description: Physician scheduling problem for hospitalist, radiology and kidney specialist groups.
MIPLIB Entry

Parent Instance (physiciansched6-1)

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

physiciansched6-1 Raw physiciansched6-1 Decomposed physiciansched6-1 Composite of MIC top 5 physiciansched6-1 Composite of MIPLIB top 5 physiciansched6-1 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.
physiciansched6-2 decomposed icir97_potential decomposed comp12-2idx decomposed physiciansched3-4 decomposed gen-ip016 decomposed
Name physiciansched6-2 [MIPLIB] icir97_potential [MIPLIB] comp12-2idx [MIPLIB] physiciansched3-4 [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 / 1.268 2 / 1.316 3 / 1.372 4 / 1.374 5 / 1.399
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
physiciansched6-2 raw icir97_potential raw comp12-2idx raw physiciansched3-4 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.
physiciansched6-2 decomposed diameterc-mstc-v20a190d5i decomposed neos-4391920-timok decomposed neos-4359986-taipa decomposed piperout-27 decomposed
Name physiciansched6-2 [MIPLIB] diameterc-mstc-v20a190d5i [MIPLIB] neos-4391920-timok [MIPLIB] neos-4359986-taipa [MIPLIB] piperout-27 [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 / 1.268 71 / 1.655 152 / 1.735 206 / 1.765 854 / 2.184
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
physiciansched6-2 raw diameterc-mstc-v20a190d5i raw neos-4391920-timok raw neos-4359986-taipa raw piperout-27 raw

Instance Summary

The table below contains summary information for physiciansched6-1, the five most similar instances to physiciansched6-1 according to the MIC, and the five most similar instances to physiciansched6-1 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance physiciansched6-1 [MIPLIB] Pelin Damci-Kurt Physician scheduling problem for hospitalist, radiology and kidney specialist groups. 0.000000 -
MIC Top 5 physiciansched6-2 [MIPLIB] Pelin Damci-Kurt Physician scheduling problem for hospitalist, radiology and kidney specialist groups. 1.268196 1
icir97_potential [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.316089 2
comp12-2idx [MIPLIB] Matias Sørensen Instances comp01-21 of curriculum based course timetabling from the International Timetabling Competition 2007. These are time-assignment models (Stage I of the decomposed model), which are smaller than the full model, but still hard to solve. 1.372141 3
physiciansched3-4 [MIPLIB] Pelin Damci-Kurt Physician scheduling problem for hospitalist, radiology and kidney specialist groups. 1.374293 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. 1.398866 5
MIPLIB Top 5 physiciansched6-2 [MIPLIB] Pelin Damci-Kurt Physician scheduling problem for hospitalist, radiology and kidney specialist groups. 1.268196 1
diameterc-mstc-v20a190d5i [MIPLIB] Gleb Belov These are the instances from MiniZinc Challenges 2012-2016 (see www.minizinc.org), compiled for MIP WITH INDICATOR CONSTRAINTS using the develop branch of MiniZinc and CPLEX 12.7.1 on 30 April 2017. Thus, these instances can only be handled by solvers accepting indicator constraints. For instances compiled with big-M/domain decomposition only, see my previous submission to MIPLIB.To recompile, create a directory MODELS, a list lst12_16.txt of the instances with full paths to mzn/dzn files of each instance per line, and say$> ~/install/libmzn/tests/benchmarking/mzn-test.py -l ../lst12_16.txt -slvPrf MZN-CPLEX -debug 1 -addOption "-timeout 3 -D fIndConstr=true -D fMIPdomains=false" -useJoinedName "-writeModel MODELS_IND/%s.mps" Alternatively, you can compile individual instance as follows: $> mzn-cplex -v -s -G linear -output-time ../challenge_2012_2016/mznc2016_probs/zephyrus/zephyrus.mzn ../challenge_2012_2016/mznc2016_p/zephyrus/14__8__6__3.dzn -a -timeout 3 -D fIndConstr=true -D fMIPdomains=false -writeModel MODELS_IND/challenge_2012_2016mznc2016_probszephyruszephyrusmzn-challenge_2012_2016mznc2016_probszephyrus14__8__6__3dzn.mps 1.655093 71
neos-4391920-timok [MIPLIB] Jeff Linderoth (None provided) 1.735051 152
neos-4359986-taipa [MIPLIB] Jeff Linderoth (None provided) 1.764827 206
piperout-27 [MIPLIB] Gleb Belov Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing 2.183643 854


physiciansched6-1: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: physiciansched
Assigned Model Group Rank/ISS in the MIC: 112 / 2.675

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: neos-pseudoapplication-21 Model group: hypothyroid Model group: stein Model group: markshare
Name scp neos-pseudoapplication-21 hypothyroid 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 / 1.663 2 / 1.765 3 / 1.841 4 / 1.860 5 / 1.920

Model Group Summary

The table below contains summary information for the five most similar model groups to physiciansched6-1 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 1.663125 1
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.765285 2
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 1.840903 3
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.859569 4
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.919814 5