acc-tight5: Instance-to-Instance Comparison Results

Type: Instance
Submitter: J. Walser
Description: ACC basketball scheduling instance
MIPLIB Entry

Parent Instance (acc-tight5)

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

acc-tight5 Raw acc-tight5 Decomposed acc-tight5 Composite of MIC top 5 acc-tight5 Composite of MIPLIB top 5 acc-tight5 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.
gen-ip036 decomposed neos5 decomposed f2gap801600 decomposed scpl4 decomposed mod010 decomposed
Name gen-ip036 [MIPLIB] neos5 [MIPLIB] f2gap801600 [MIPLIB] scpl4 [MIPLIB] mod010 [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 / 1.272 2 / 1.291 3 / 1.305 4 / 1.312 5 / 1.324
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
gen-ip036 raw neos5 raw f2gap801600 raw scpl4 raw mod010 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.
acc-tight2 decomposed physiciansched6-2 decomposed acc-tight4 decomposed neos18 decomposed neos-1330346 decomposed
Name acc-tight2 [MIPLIB] physiciansched6-2 [MIPLIB] acc-tight4 [MIPLIB] neos18 [MIPLIB] neos-1330346 [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.
296 / 1.888 305 / 1.891 432 / 1.943 479 / 1.962 494 / 1.967
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
acc-tight2 raw physiciansched6-2 raw acc-tight4 raw neos18 raw neos-1330346 raw

Instance Summary

The table below contains summary information for acc-tight5, the five most similar instances to acc-tight5 according to the MIC, and the five most similar instances to acc-tight5 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance acc-tight5 [MIPLIB] J. Walser ACC basketball scheduling instance 0.000000 -
MIC Top 5 gen-ip036 [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. 1.271545 1
neos5 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.290618 2
f2gap801600 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.304808 3
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 1.312364 4
mod010 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.324262 5
MIPLIB Top 5 acc-tight2 [MIPLIB] J. Walser ACC basketball scheduling instance 1.887989 296
physiciansched6-2 [MIPLIB] Pelin Damci-Kurt Physician scheduling problem for hospitalist, radiology and kidney specialist groups. 1.891193 305
acc-tight4 [MIPLIB] J. Walser ACC basketball scheduling instance 1.943299 432
neos18 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.962200 479
neos-1330346 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.966857 494


acc-tight5: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: acc-tight
Assigned Model Group Rank/ISS in the MIC: 4 / 1.913

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: generated Model group: neos-pseudoapplication-21 Model group: acc-tight Model group: neos-pseudoapplication-101
Name independentset generated neos-pseudoapplication-21 acc-tight 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 / 1.808 2 / 1.821 3 / 1.873 4 / 1.914 5 / 1.935

Model Group Summary

The table below contains summary information for the five most similar model groups to acc-tight5 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. 1.807788 1
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. 1.821031 2
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.872501 3
acc-tight J. Walser ACC basketball scheduling model 1.913727 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. 1.934980 5