maritime-jg3d9: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Dimitri Papageorgiou
Description: 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.
MIPLIB Entry

Parent Instance (maritime-jg3d9)

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

maritime-jg3d9 Raw maritime-jg3d9 Decomposed maritime-jg3d9 Composite of MIC top 5 maritime-jg3d9 Composite of MIPLIB top 5 maritime-jg3d9 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.
markshare1 decomposed stein15inf decomposed markshare2 decomposed markshare_5_0 decomposed ns2124243 decomposed
Name markshare1 [MIPLIB] stein15inf [MIPLIB] markshare2 [MIPLIB] markshare_5_0 [MIPLIB] ns2124243 [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 / 1.166 2 / 1.175 3 / 1.176 4 / 1.186 5 / 1.192
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
markshare1 raw stein15inf raw markshare2 raw markshare_5_0 raw ns2124243 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-5093327-huahum decomposed neos-5041822-cockle decomposed neos-5100895-inster decomposed neos-5076235-embley decomposed neos-5079731-flyers decomposed
Name neos-5093327-huahum [MIPLIB] neos-5041822-cockle [MIPLIB] neos-5100895-inster [MIPLIB] neos-5076235-embley [MIPLIB] neos-5079731-flyers [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.
264 / 1.448 436 / 1.566 463 / 1.581 513 / 1.616 526 / 1.627
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-5093327-huahum raw neos-5041822-cockle raw neos-5100895-inster raw neos-5076235-embley raw neos-5079731-flyers raw

Instance Summary

The table below contains summary information for maritime-jg3d9, the five most similar instances to maritime-jg3d9 according to the MIC, and the five most similar instances to maritime-jg3d9 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance 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. 0.000000 -
MIC Top 5 markshare1 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 1.166132 1
stein15inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.174701 2
markshare2 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 1.176261 3
markshare_5_0 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 1.185740 4
ns2124243 [MIPLIB] Timo Berthold Instance coming from the NEOS Server with unknown application 1.192303 5
MIPLIB Top 5 neos-5093327-huahum [MIPLIB] Jeff Linderoth (None provided) 1.448400 264
neos-5041822-cockle [MIPLIB] Jeff Linderoth (None provided) 1.565554 436
neos-5100895-inster [MIPLIB] Jeff Linderoth (None provided) 1.581015 463
neos-5076235-embley [MIPLIB] Jeff Linderoth (None provided) 1.615550 513
neos-5079731-flyers [MIPLIB] Jeff Linderoth (None provided) 1.626690 526


maritime-jg3d9: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: maritime
Assigned Model Group Rank/ISS in the MIC: 231 / 4.252

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: markshare Model group: scp Model group: stein Model group: neos-pseudoapplication-21 Model group: hypothyroid
Name markshare scp stein neos-pseudoapplication-21 hypothyroid
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 / 1.688 2 / 1.714 3 / 1.770 4 / 1.823 5 / 1.888

Model Group Summary

The table below contains summary information for the five most similar model groups to maritime-jg3d9 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 markshare G. Cornuéjols, M. Dawande Market sharing problem 1.687648 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 1.713605 2
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.769663 3
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.822938 4
hypothyroid Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 1.888016 5