nursesched-sprint-hidden09: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Haroldo Gambini Santos
Description: Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010
MIPLIB Entry

Parent Instance (nursesched-sprint-hidden09)

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

nursesched-sprint-hidden09 Raw nursesched-sprint-hidden09 Decomposed nursesched-sprint-hidden09 Composite of MIC top 5 nursesched-sprint-hidden09 Composite of MIPLIB top 5 nursesched-sprint-hidden09 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.
nursesched-sprint-late03 decomposed nursesched-medium-hint03 decomposed nursesched-sprint02 decomposed gen-ip002 decomposed gen-ip021 decomposed
Name nursesched-sprint-late03 [MIPLIB] nursesched-medium-hint03 [MIPLIB] nursesched-sprint02 [MIPLIB] gen-ip002 [MIPLIB] gen-ip021 [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 / 0.473 2 / 0.640 3 / 1.394 4 / 1.427 5 / 1.433
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
nursesched-sprint-late03 raw nursesched-medium-hint03 raw nursesched-sprint02 raw gen-ip002 raw gen-ip021 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.
nursesched-sprint-late03 decomposed nursesched-medium-hint03 decomposed nursesched-sprint02 decomposed nursesched-medium04 decomposed academictimetablesmall decomposed
Name nursesched-sprint-late03 [MIPLIB] nursesched-medium-hint03 [MIPLIB] nursesched-sprint02 [MIPLIB] nursesched-medium04 [MIPLIB] academictimetablesmall [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 / 0.473 2 / 0.640 3 / 1.394 98 / 1.694 116 / 1.707
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
nursesched-sprint-late03 raw nursesched-medium-hint03 raw nursesched-sprint02 raw nursesched-medium04 raw academictimetablesmall raw

Instance Summary

The table below contains summary information for nursesched-sprint-hidden09, the five most similar instances to nursesched-sprint-hidden09 according to the MIC, and the five most similar instances to nursesched-sprint-hidden09 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance nursesched-sprint-hidden09 [MIPLIB] Haroldo Gambini Santos Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010 0.000000 -
MIC Top 5 nursesched-sprint-late03 [MIPLIB] Haroldo Gambini Santos Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010 0.472843 1
nursesched-medium-hint03 [MIPLIB] Haroldo Gambini Santos Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010 0.640489 2
nursesched-sprint02 [MIPLIB] Haroldo Gambini Santos Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010 1.393801 3
gen-ip002 [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. 1.426528 4
gen-ip021 [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. 1.432778 5
MIPLIB Top 5 nursesched-sprint-late03 [MIPLIB] Haroldo Gambini Santos Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010 0.472843 1
nursesched-medium-hint03 [MIPLIB] Haroldo Gambini Santos Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010 0.640489 2
nursesched-sprint02 [MIPLIB] Haroldo Gambini Santos Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010 1.393801 3
nursesched-medium04 [MIPLIB] Haroldo Gambini Santos Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010 1.693900 98
academictimetablesmall [MIPLIB] Joshua Friedman Academic timetabling integer program 1.707467 116


nursesched-sprint-hidden09: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: nursescheduling
Assigned Model Group Rank/ISS in the MIC: 54 / 2.437

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: neos-pseudoapplication-21 Model group: scp Model group: generated Model group: timtab Model group: neos-pseudoapplication-101
Name neos-pseudoapplication-21 scp generated timtab neos-pseudoapplication-101
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 / 1.963 2 / 1.971 3 / 2.048 4 / 2.083 5 / 2.087

Model Group Summary

The table below contains summary information for the five most similar model groups to nursesched-sprint-hidden09 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.963326 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 1.970574 2
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. 2.048161 3
timtab C. Liebchen, R. Möhring Public transport scheduling problem 2.083484 4
neos-pseudoapplication-101 NEOS Server Submission Model coming from the NEOS Server with unknown application. Infeasibility claimed by CPLEX 12.6 and CPLEX 12.6.1 with extreme numerical caution emphasi after 4 and 2 hours computation, respectively. 2.087463 5