neos-5102383-irwell: Instance-to-Instance Comparison Results

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

Parent Instance (neos-5102383-irwell)

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

neos-5102383-irwell Raw neos-5102383-irwell Decomposed neos-5102383-irwell Composite of MIC top 5 neos-5102383-irwell Composite of MIPLIB top 5 neos-5102383-irwell 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.
snp-04-052-052 decomposed milo-v12-6-r2-40-1 decomposed snp-02-004-104 decomposed milo-v12-6-r1-75-1 decomposed milo-v12-6-r1-58-1 decomposed
Name snp-04-052-052 [MIPLIB] milo-v12-6-r2-40-1 [MIPLIB] snp-02-004-104 [MIPLIB] milo-v12-6-r1-75-1 [MIPLIB] milo-v12-6-r1-58-1 [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 / 0.838 2 / 0.865 3 / 0.890 4 / 0.913 5 / 0.916
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
snp-04-052-052 raw milo-v12-6-r2-40-1 raw snp-02-004-104 raw milo-v12-6-r1-75-1 raw milo-v12-6-r1-58-1 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-5100895-inster decomposed neos-5076235-embley decomposed neos-5079731-flyers decomposed maritime-jg3d9 decomposed
Name neos-5093327-huahum [MIPLIB] neos-5100895-inster [MIPLIB] neos-5076235-embley [MIPLIB] neos-5079731-flyers [MIPLIB] maritime-jg3d9 [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.
44 / 1.034 265 / 1.293 289 / 1.320 307 / 1.338 449 / 1.500
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-5100895-inster raw neos-5076235-embley raw neos-5079731-flyers raw maritime-jg3d9 raw

Instance Summary

The table below contains summary information for neos-5102383-irwell, the five most similar instances to neos-5102383-irwell according to the MIC, and the five most similar instances to neos-5102383-irwell according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-5102383-irwell [MIPLIB] Jeff Linderoth (None provided) 0.000000 -
MIC Top 5 snp-04-052-052 [MIPLIB] Gerald Gamrath Supply network planning problems. 0.838005 1
milo-v12-6-r2-40-1 [MIPLIB] Tamas Terlaky The models come from structural design optimization where the objective is to minimize the total weight of 2 and 3 dimensional cantilevers. The 2D examples are simpler, and GuRobi can solve the 40_1 and 58_1 instances, while struggles with 75_1. The 3D examples are more challenging. The x_0 and x_1 models are two different modeling of the same identical problems, so their optimal value is the same. The 1_x and 2_x problems are solved by GuRoBi, the 3_x and 4_x are not solved in reasonable time. 0.865253 2
snp-02-004-104 [MIPLIB] Gerald Gamrath Supply network planning problems. 0.889728 3
milo-v12-6-r1-75-1 [MIPLIB] Tamas Terlaky The models come from structural design optimization where the objective is to minimize the total weight of 2 and 3 dimensional cantilevers. The 2D examples are simpler, and GuRobi can solve the 40_1 and 58_1 instances, while struggles with 75_1. The 3D examples are more challenging. The x_0 and x_1 models are two different modeling of the same identical problems, so their optimal value is the same. The 1_x and 2_x problems are solved by GuRoBi, the 3_x and 4_x are not solved in reasonable time. 0.913265 4
milo-v12-6-r1-58-1 [MIPLIB] Tamas Terlaky The models come from structural design optimization where the objective is to minimize the total weight of 2 and 3 dimensional cantilevers. The 2D examples are simpler, and GuRobi can solve the 40_1 and 58_1 instances, while struggles with 75_1. The 3D examples are more challenging. The x_0 and x_1 models are two different modeling of the same identical problems, so their optimal value is the same. The 1_x and 2_x problems are solved by GuRoBi, the 3_x and 4_x are not solved in reasonable time. 0.915609 5
MIPLIB Top 5 neos-5093327-huahum [MIPLIB] Jeff Linderoth (None provided) 1.034345 44
neos-5100895-inster [MIPLIB] Jeff Linderoth (None provided) 1.292636 265
neos-5076235-embley [MIPLIB] Jeff Linderoth (None provided) 1.319671 289
neos-5079731-flyers [MIPLIB] Jeff Linderoth (None provided) 1.338314 307
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. 1.499583 449


neos-5102383-irwell: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-17
Assigned Model Group Rank/ISS in the MIC: 37 / 1.718

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: noip Model group: neos-pseudoapplication-2 Model group: aflow Model group: sp_product Model group: neos-pseudoapplication-7
Name noip neos-pseudoapplication-2 aflow sp_product neos-pseudoapplication-7
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 / 1.183 2 / 1.241 3 / 1.250 4 / 1.331 5 / 1.335

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-5102383-irwell according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 noip Christopher Hojny integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists 1.182843 1
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.241152 2
aflow T. Achterberg Arborescence flow problem on a graph with 40 nodes and edge density 0.9 1.249897 3
sp_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.330546 4
neos-pseudoapplication-7 Jeff Linderoth (None provided) 1.335108 5