neos-4555749-wards: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Jeff Linderoth
Description: (None provided)
MIPLIB Entry

Parent Instance (neos-4555749-wards)

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

neos-4555749-wards Raw neos-4555749-wards Decomposed neos-4555749-wards Composite of MIC top 5 neos-4555749-wards Composite of MIPLIB top 5 neos-4555749-wards 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.
neos-4562542-watut decomposed stein15inf decomposed scpm1 decomposed h80x6320d decomposed noswot decomposed
Name neos-4562542-watut [MIPLIB] stein15inf [MIPLIB] scpm1 [MIPLIB] h80x6320d [MIPLIB] noswot [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 / 0.614 2 / 1.185 3 / 1.217 4 / 1.221 5 / 1.242
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-4562542-watut raw stein15inf raw scpm1 raw h80x6320d raw noswot 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.
neos-4562542-watut decomposed neos-5093327-huahum decomposed maritime-jg3d9 decomposed neos-4545615-waita decomposed neos-4533806-waima decomposed
Name neos-4562542-watut [MIPLIB] neos-5093327-huahum [MIPLIB] maritime-jg3d9 [MIPLIB] neos-4545615-waita [MIPLIB] neos-4533806-waima [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 / 0.614 202 / 1.507 362 / 1.603 422 / 1.642 434 / 1.649
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-4562542-watut raw neos-5093327-huahum raw maritime-jg3d9 raw neos-4545615-waita raw neos-4533806-waima raw

Instance Summary

The table below contains summary information for neos-4555749-wards, the five most similar instances to neos-4555749-wards according to the MIC, and the five most similar instances to neos-4555749-wards according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-4555749-wards [MIPLIB] Jeff Linderoth (None provided) 0.000000 -
MIC Top 5 neos-4562542-watut [MIPLIB] Jeff Linderoth (None provided) 0.614091 1
stein15inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.184731 2
scpm1 [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 1.216659 3
h80x6320d [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.221342 4
noswot [MIPLIB] J. Gregory, L. Schrage Unknown application 1.241924 5
MIPLIB Top 5 neos-4562542-watut [MIPLIB] Jeff Linderoth (None provided) 0.614091 1
neos-5093327-huahum [MIPLIB] Jeff Linderoth (None provided) 1.507177 202
maritime-jg3d9 [MIPLIB] Dimitri Papageorgiou Maritime Inventory Routing Problems: Jiang-Grossmann Instances. These instances are available at https://mirplib.scl.gatech.edu/instances, along with a host of additional information such as the underlying data used to generate the model, best known upper and lower bounds, and more. They involve a single product maritime inventory routing problem and explore the use of continuous and discrete time models. A continuous-time model based on time slots for single docks is used for some instances. A model based on event points to handle parallel docks is used in others. A discrete time model based on a single commodity fixed-charge network flow problem (FCNF) is used for other instances. All the models are solved for multiple randomly generated instances of different problems to compare their computational efficiency. 1.602985 362
neos-4545615-waita [MIPLIB] Jeff Linderoth (None provided) 1.642094 422
neos-4533806-waima [MIPLIB] Jeff Linderoth (None provided) 1.648693 434


neos-4555749-wards: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-31
Assigned Model Group Rank/ISS in the MIC: 74 / 2.361

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: stein Model group: markshare Model group: neos-pseudoapplication-74 Model group: neos-pseudoapplication-89
Name scp stein markshare neos-pseudoapplication-74 neos-pseudoapplication-89
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 / 1.465 2 / 1.630 3 / 1.634 4 / 1.650 5 / 1.685

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-4555749-wards 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 1.464614 1
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.630431 2
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.633641 3
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.650217 4
neos-pseudoapplication-89 NEOS Server Submission Model coming from the NEOS Server with unknown application 1.685084 5