physiciansched5-3: 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 (physiciansched5-3)

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

physiciansched5-3 Raw physiciansched5-3 Decomposed physiciansched5-3 Composite of MIC top 5 physiciansched5-3 Composite of MIPLIB top 5 physiciansched5-3 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.
neos5 decomposed sct1 decomposed scpl4 decomposed neos-826650 decomposed ns1952667 decomposed
Name neos5 [MIPLIB] sct1 [MIPLIB] scpl4 [MIPLIB] neos-826650 [MIPLIB] ns1952667 [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 / 1.363 2 / 1.431 3 / 1.434 4 / 1.435 5 / 1.452
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos5 raw sct1 raw scpl4 raw neos-826650 raw ns1952667 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.
physiciansched3-4 decomposed physiciansched3-3 decomposed neos-5193246-nerang decomposed neos-3696678-lyvia decomposed neos-5195221-niemur decomposed
Name physiciansched3-4 [MIPLIB] physiciansched3-3 [MIPLIB] neos-5193246-nerang [MIPLIB] neos-3696678-lyvia [MIPLIB] neos-5195221-niemur* [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.
69 / 1.734 89 / 1.768 234 / 1.952 694 / 2.156 234* / 1.952*
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
physiciansched3-4 raw physiciansched3-3 raw neos-5193246-nerang raw neos-3696678-lyvia raw neos-5195221-niemur raw

Instance Summary

The table below contains summary information for physiciansched5-3, the five most similar instances to physiciansched5-3 according to the MIC, and the five most similar instances to physiciansched5-3 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance physiciansched5-3 [MIPLIB] Pelin Damci-Kurt Physician scheduling problem for hospitalist, radiology and kidney specialist groups. 0.000000 -
MIC Top 5 neos5 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.362972 1
sct1 [MIPLIB] Siemens Assembly line balancing for printed circuit board production 1.430910 2
scpl4 [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 1.433756 3
neos-826650 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.434750 4
ns1952667 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.452252 5
MIPLIB Top 5 physiciansched3-4 [MIPLIB] Pelin Damci-Kurt Physician scheduling problem for hospitalist, radiology and kidney specialist groups. 1.734424 69
physiciansched3-3 [MIPLIB] Pelin Damci-Kurt Physician scheduling problem for hospitalist, radiology and kidney specialist groups. 1.768234 89
neos-5193246-nerang [MIPLIB] Jeff Linderoth (None provided) 1.952469 234
neos-3696678-lyvia [MIPLIB] Jeff Linderoth (None provided) 2.155811 694
neos-5195221-niemur* [MIPLIB] Jeff Linderoth (None provided) 1.952469* 234*


physiciansched5-3: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: physiciansched
Assigned Model Group Rank/ISS in the MIC: 14 / 2.170

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: independentset Model group: neos-pseudoapplication-21 Model group: scp Model group: generated Model group: neos-pseudoapplication-66
Name independentset neos-pseudoapplication-21 scp generated neos-pseudoapplication-66
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 / 1.703 2 / 1.706 3 / 1.730 4 / 1.843 5 / 1.885

Model Group Summary

The table below contains summary information for the five most similar model groups to physiciansched5-3 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 independentset Toni Sorrell These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 1.702735 1
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.705517 2
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 1.730467 3
generated Simon Bowly Randomly generated integer and binary programming models. These results are part of an early phase of work aimed at generating diverse and challenging MIP models for experimental testing. We have aimed to produce small integer and binary programming models which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. 1.842967 4
neos-pseudoapplication-66 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.885101 5


* neos-5195221-niemur is a duplicate of neos-5193246-nerang.