physiciansched6-2: 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 (physiciansched6-2)

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

physiciansched6-2 Raw physiciansched6-2 Decomposed physiciansched6-2 Composite of MIC top 5 physiciansched6-2 Composite of MIPLIB top 5 physiciansched6-2 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.
physiciansched6-1 decomposed neos-3402294-bobin decomposed gen-ip016 decomposed physiciansched3-4 decomposed bnatt500 decomposed
Name physiciansched6-1 [MIPLIB] neos-3402294-bobin [MIPLIB] gen-ip016 [MIPLIB] physiciansched3-4 [MIPLIB] bnatt500 [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 / 1.451 3 / 1.459 4 / 1.463 5 / 1.466
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
physiciansched6-1 raw neos-3402294-bobin raw gen-ip016 raw physiciansched3-4 raw bnatt500 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.
physiciansched6-1 decomposed neos-1330346 decomposed acc-tight5 decomposed acc-tight4 decomposed neos-3148108-pahi decomposed
Name physiciansched6-1 [MIPLIB] neos-1330346 [MIPLIB] acc-tight5 [MIPLIB] acc-tight4 [MIPLIB] neos-3148108-pahi [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 / 1.268 431 / 1.883 454 / 1.891 627 / 1.976 931 / 2.484
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
physiciansched6-1 raw neos-1330346 raw acc-tight5 raw acc-tight4 raw neos-3148108-pahi raw

Instance Summary

The table below contains summary information for physiciansched6-2, the five most similar instances to physiciansched6-2 according to the MIC, and the five most similar instances to physiciansched6-2 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance physiciansched6-2 [MIPLIB] Pelin Damci-Kurt Physician scheduling problem for hospitalist, radiology and kidney specialist groups. 0.000000 -
MIC Top 5 physiciansched6-1 [MIPLIB] Pelin Damci-Kurt Physician scheduling problem for hospitalist, radiology and kidney specialist groups. 1.268196 1
neos-3402294-bobin [MIPLIB] Jeff Linderoth (None provided) 1.450841 2
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. 1.459029 3
physiciansched3-4 [MIPLIB] Pelin Damci-Kurt Physician scheduling problem for hospitalist, radiology and kidney specialist groups. 1.463339 4
bnatt500 [MIPLIB] Tatsuya Akutsu We are submitting ILP data for identification of a singletonattractor in a Boolean newtork, which is a well-known problemin computational systems biology.This problem is known to be NP-hard and we developed a methodto transform an instance of the problem to an integer linearprogram (ILP).We used ILPs from artificially generated Boolean networks ofindegree 3.The size of the networks are: 350, 400, 500.Even for the case of 500, we could not find a solution within6 hours using CPLEX 11.2 on a PC with XEON 5470 3.33GHz CPU.(This ILP corresponds to the case of size=350.File format is (zipped) CPLEX LP format.)The details of the method appeared in:T. Akutsu, M. Hayashida and T. Tamura, Integer programming-basedmethods for attractor detection and control of Boolean networks,Proc. The combined 48th IEEE Conference on Decision and Controland 28th Chinese Control Conference (IEEE CDC/CCC 2009), 5610-5617, 2009. 1.466380 5
MIPLIB Top 5 physiciansched6-1 [MIPLIB] Pelin Damci-Kurt Physician scheduling problem for hospitalist, radiology and kidney specialist groups. 1.268196 1
neos-1330346 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.883260 431
acc-tight5 [MIPLIB] J. Walser ACC basketball scheduling instance 1.891193 454
acc-tight4 [MIPLIB] J. Walser ACC basketball scheduling instance 1.975732 627
neos-3148108-pahi [MIPLIB] Jeff Linderoth (None provided) 2.484172 931


physiciansched6-2: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: physiciansched
Assigned Model Group Rank/ISS in the MIC: 106 / 2.643

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: enlight Model group: stein Model group: bnatt
Name scp neos-pseudoapplication-21 enlight stein bnatt
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 / 1.788 2 / 1.848 3 / 1.864 4 / 1.993 5 / 1.994

Model Group Summary

The table below contains summary information for the five most similar model groups to physiciansched6-2 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 1.787518 1
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.847904 2
enlight A. Zymolka Model to solve model of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 1.864032 3
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.993343 4
bnatt Tatsuya Akutsu We are submitting ILP data for identification of a singletonattractor in a Boolean newtork, which is a well-known problemin computational systems biology.This problem is known to be NP-hard and we developed a methodto transform an model of the problem to an integer linearprogram (ILP).We used ILPs from artificially generated Boolean networks ofindegree 3.The size of the networks are: 350, 400, 500.Even for the case of 500, we could not find a solution within6 hours using CPLEX 11.2 on a PC with XEON 5470 3.33GHz CPU.(This ILP corresponds to the case of size=350.File format is (zipped) CPLEX LP format.)The details of the method appeared in:T. Akutsu, M. Hayashida and T. Tamura, Integer programming-basedmethods for attractor detection and control of Boolean networks,Proc. The combined 48th IEEE Conference on Decision and Controland 28th Chinese Control Conference (IEEE CDC/CCC 2009), 5610-5617, 2009. 1.993916 5