nursesched-medium-hint03: 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-medium-hint03)

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

nursesched-medium-hint03 Raw nursesched-medium-hint03 Decomposed nursesched-medium-hint03 Composite of MIC top 5 nursesched-medium-hint03 Composite of MIPLIB top 5 nursesched-medium-hint03 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-hidden09 decomposed nursesched-sprint-late03 decomposed nursesched-sprint02 decomposed gen-ip002 decomposed gen-ip054 decomposed
Name nursesched-sprint-hidden09 [MIPLIB] nursesched-sprint-late03 [MIPLIB] nursesched-sprint02 [MIPLIB] gen-ip002 [MIPLIB] gen-ip054 [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 / 0.640 2 / 0.649 3 / 1.416 4 / 1.441 5 / 1.459
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
nursesched-sprint-hidden09 raw nursesched-sprint-late03 raw nursesched-sprint02 raw gen-ip002 raw gen-ip054 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-hidden09 decomposed nursesched-sprint-late03 decomposed nursesched-sprint02 decomposed academictimetablesmall decomposed comp12-2idx decomposed
Name nursesched-sprint-hidden09 [MIPLIB] nursesched-sprint-late03 [MIPLIB] nursesched-sprint02 [MIPLIB] academictimetablesmall [MIPLIB] comp12-2idx [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 / 0.640 2 / 0.649 3 / 1.416 75 / 1.683 889 / 2.251
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
nursesched-sprint-hidden09 raw nursesched-sprint-late03 raw nursesched-sprint02 raw academictimetablesmall raw comp12-2idx raw

Instance Summary

The table below contains summary information for nursesched-medium-hint03, the five most similar instances to nursesched-medium-hint03 according to the MIC, and the five most similar instances to nursesched-medium-hint03 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance nursesched-medium-hint03 [MIPLIB] Haroldo Gambini Santos Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010 0.000000 -
MIC Top 5 nursesched-sprint-hidden09 [MIPLIB] Haroldo Gambini Santos Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010 0.640489 1
nursesched-sprint-late03 [MIPLIB] Haroldo Gambini Santos Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010 0.648850 2
nursesched-sprint02 [MIPLIB] Haroldo Gambini Santos Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010 1.415696 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. 1.440843 4
gen-ip054 [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. 1.459031 5
MIPLIB Top 5 nursesched-sprint-hidden09 [MIPLIB] Haroldo Gambini Santos Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010 0.640489 1
nursesched-sprint-late03 [MIPLIB] Haroldo Gambini Santos Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010 0.648850 2
nursesched-sprint02 [MIPLIB] Haroldo Gambini Santos Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010 1.415696 3
academictimetablesmall [MIPLIB] Joshua Friedman Academic timetabling integer program 1.682704 75
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. 2.251357 889


nursesched-medium-hint03: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: nursescheduling
Assigned Model Group Rank/ISS in the MIC: 121 / 2.493

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: timtab Model group: markshare Model group: stein
Name scp neos-pseudoapplication-21 timtab markshare stein
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 / 1.759 2 / 1.802 3 / 1.883 4 / 1.888 5 / 1.897

Model Group Summary

The table below contains summary information for the five most similar model groups to nursesched-medium-hint03 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 1.759106 1
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.802005 2
timtab C. Liebchen, R. Möhring Public transport scheduling problem 1.882952 3
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.887715 4
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.896964 5