ci-s4: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Alexandra M. Newman
Description: minimizing violence in a counterinsurgency model (lot os regressions built in)
MIPLIB Entry

Parent Instance (ci-s4)

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

ci-s4 Raw ci-s4 Decomposed ci-s4 Composite of MIC top 5 ci-s4 Composite of MIPLIB top 5 ci-s4 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.
ta2-UUE decomposed gen-ip036 decomposed 22433 decomposed f2gap401600 decomposed scpl4 decomposed
Name ta2-UUE [MIPLIB] gen-ip036 [MIPLIB] 22433 [MIPLIB] f2gap401600 [MIPLIB] scpl4 [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 / 1.467 2 / 1.480 3 / 1.491 4 / 1.494 5 / 1.499
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
ta2-UUE raw gen-ip036 raw 22433 raw f2gap401600 raw scpl4 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.
nag decomposed neos-3709489-menik decomposed lectsched-5-obj decomposed neos-3699044-maipo decomposed neos-3355120-tarago decomposed
Name nag [MIPLIB] neos-3709489-menik [MIPLIB] lectsched-5-obj [MIPLIB] neos-3699044-maipo [MIPLIB] neos-3355120-tarago [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.
261 / 1.989 333 / 2.019 642 / 2.104 799 / 2.180 807 / 2.183
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
nag raw neos-3709489-menik raw lectsched-5-obj raw neos-3699044-maipo raw neos-3355120-tarago raw

Instance Summary

The table below contains summary information for ci-s4, the five most similar instances to ci-s4 according to the MIC, and the five most similar instances to ci-s4 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance ci-s4 [MIPLIB] Alexandra M. Newman minimizing violence in a counterinsurgency model (lot os regressions built in) 0.000000 -
MIC Top 5 ta2-UUE [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.467070 1
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. 1.479504 2
22433 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.491443 3
f2gap401600 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.494207 4
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 1.498679 5
MIPLIB Top 5 nag [MIPLIB] N. Shenoy Unknown Application from COR@L 1.989345 261
neos-3709489-menik [MIPLIB] Jeff Linderoth (None provided) 2.018753 333
lectsched-5-obj [MIPLIB] Harald Schilly scheduling lectures at university - smaller subset of data with objective to minimize certain overlappings 2.103553 642
neos-3699044-maipo [MIPLIB] Jeff Linderoth (None provided) 2.180363 799
neos-3355120-tarago [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 2.183296 807


ci-s4: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: no model group assignment
Assigned Model Group Rank/ISS in the MIC: N.A. / N.A.

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: bmocbd Model group: neos-pseudoapplication-21 Model group: stein Model group: generated
Name scp bmocbd neos-pseudoapplication-21 stein generated
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 / 1.629 2 / 1.690 3 / 1.695 4 / 1.768 5 / 1.799

Model Group Summary

The table below contains summary information for the five most similar model groups to ci-s4 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 1.628977 1
bmocbd Sean MacDermant BMOCBD2 1.689863 2
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.695443 3
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.768423 4
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. 1.799418 5