gasprod1-2: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Andrew Stamps
Description: Production planning model for an industrial gas process. Three instances of the model included.
MIPLIB Entry

Parent Instance (gasprod1-2)

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

gasprod1-2 Raw gasprod1-2 Decomposed gasprod1-2 Composite of MIC top 5 gasprod1-2 Composite of MIPLIB top 5 gasprod1-2 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.
gasprod1-3 decomposed gasprod1-1 decomposed 2club200v15p5scn decomposed gasprod2-1 decomposed gasprod2-2 decomposed
Name gasprod1-3 [MIPLIB] gasprod1-1 [MIPLIB] 2club200v15p5scn [MIPLIB] gasprod2-1 [MIPLIB] gasprod2-2 [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 / 0.334 2 / 0.623 3 / 1.462 4 / 1.529 5 / 1.530
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
gasprod1-3 raw gasprod1-1 raw 2club200v15p5scn raw gasprod2-1 raw gasprod2-2 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.
gasprod1-3 decomposed gasprod1-1 decomposed gasprod2-2 decomposed neos-4358725-tagus decomposed unitcal_7 decomposed
Name gasprod1-3 [MIPLIB] gasprod1-1 [MIPLIB] gasprod2-2 [MIPLIB] neos-4358725-tagus [MIPLIB] unitcal_7 [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 / 0.334 2 / 0.623 5 / 1.530 299 / 2.351 545 / 2.506
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
gasprod1-3 raw gasprod1-1 raw gasprod2-2 raw neos-4358725-tagus raw unitcal_7 raw

Instance Summary

The table below contains summary information for gasprod1-2, the five most similar instances to gasprod1-2 according to the MIC, and the five most similar instances to gasprod1-2 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance gasprod1-2 [MIPLIB] Andrew Stamps Production planning model for an industrial gas process. Three instances of the model included. 0.000000 -
MIC Top 5 gasprod1-3 [MIPLIB] Andrew Stamps Production planning model for an industrial gas process. Three instances of the model included. 0.334310 1
gasprod1-1 [MIPLIB] Andrew Stamps Production planning model for an industrial gas process. Three instances of the model included. 0.623152 2
2club200v15p5scn [MIPLIB] Balabhaskar Balasundaram Maximum 2-club instance; graph; clique relaxations Solved with Gurobi 8.1 on 24 cores in approx. 23 hours. 1.461719 3
gasprod2-1 [MIPLIB] Andrew Stamps Production planning model of a second industrial gas system. Two model instances included. 1.529459 4
gasprod2-2 [MIPLIB] Andrew Stamps Production planning model of a second industrial gas system. Two model instances included. 1.529508 5
MIPLIB Top 5 gasprod1-3 [MIPLIB] Andrew Stamps Production planning model for an industrial gas process. Three instances of the model included. 0.334310 1
gasprod1-1 [MIPLIB] Andrew Stamps Production planning model for an industrial gas process. Three instances of the model included. 0.623152 2
gasprod2-2 [MIPLIB] Andrew Stamps Production planning model of a second industrial gas system. Two model instances included. 1.529508 5
neos-4358725-tagus [MIPLIB] Jeff Linderoth (None provided) 2.351382 299
unitcal_7 [MIPLIB] R. O’Neill California seven day unit commitment problem 2.506018 545


gasprod1-2: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: gasprod
Assigned Model Group Rank/ISS in the MIC: 18 / 2.248

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: f2gap Model group: 2hopcds Model group: mod Model group: neos-pseudoapplication-101 Model group: independentset
Name f2gap 2hopcds mod neos-pseudoapplication-101 independentset
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 / 1.859 2 / 1.888 3 / 1.918 4 / 1.932 5 / 1.941

Model Group Summary

The table below contains summary information for the five most similar model groups to gasprod1-2 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 f2gap Salim Haddadi Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.858936 1
2hopcds Austin Buchanan A problem in wireless networks. The objective is to select a minimum number of relay nodes so that any two nonadjacent nodes can communicate by way of the chosen relay nodes in at most s hops, where s is a problem input. The 2-hop case of this problem can be formulated as a set cover/hitting set problem with n binary variables and n^2 constraints: _{ k N(i) N(j) } x_k 1 for nonadjacent node pairs {i,j}. Despite the formulation's simplicity, models with as few as 120 variables are left unsolved after one hour using Gurobi 7.0.2. 1.888206 2
mod MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.918138 3
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. 1.931969 4
independentset Toni Sorrell These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 1.941472 5