opm2-z7-s8: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Daniel Espinoza
Description: Problems coming from precedence constrained knapsacks arising in mining applications. These are one-period problems with integer data but large root LP GAP
MIPLIB Entry

Parent Instance (opm2-z7-s8)

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

opm2-z7-s8 Raw opm2-z7-s8 Decomposed opm2-z7-s8 Composite of MIC top 5 opm2-z7-s8 Composite of MIPLIB top 5 opm2-z7-s8 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.
opm2-z8-s0 decomposed opm2-z6-s1 decomposed opm2-z10-s4 decomposed reblock166 decomposed mine-166-5 decomposed
Name opm2-z8-s0 [MIPLIB] opm2-z6-s1 [MIPLIB] opm2-z10-s4 [MIPLIB] reblock166 [MIPLIB] mine-166-5 [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 / 0.957 2 / 1.255 3 / 1.327 4 / 1.408 5 / 1.424
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
opm2-z8-s0 raw opm2-z6-s1 raw opm2-z10-s4 raw reblock166 raw mine-166-5 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.
opm2-z8-s0 decomposed opm2-z6-s1 decomposed opm2-z10-s4 decomposed opm2-z12-s8 decomposed rmine11 decomposed
Name opm2-z8-s0 [MIPLIB] opm2-z6-s1 [MIPLIB] opm2-z10-s4 [MIPLIB] opm2-z12-s8 [MIPLIB] rmine11 [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 / 0.957 2 / 1.255 3 / 1.327 15 / 1.547 349 / 2.427
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
opm2-z8-s0 raw opm2-z6-s1 raw opm2-z10-s4 raw opm2-z12-s8 raw rmine11 raw

Instance Summary

The table below contains summary information for opm2-z7-s8, the five most similar instances to opm2-z7-s8 according to the MIC, and the five most similar instances to opm2-z7-s8 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance opm2-z7-s8 [MIPLIB] Daniel Espinoza Problems coming from precedence constrained knapsacks arising in mining applications. These are one-period problems with integer data but large root LP GAP 0.000000 -
MIC Top 5 opm2-z8-s0 [MIPLIB] Daniel Espinoza Problems coming from precedence constrained knapsacks arising in mining applications. These are one-period problems with integer data but large root LP GAP 0.956733 1
opm2-z6-s1 [MIPLIB] Daniel Espinoza Problems coming from precedence constrained knapsacks arising in mining applications. These are one-period problems with integer data but large root LP GAP 1.255150 2
opm2-z10-s4 [MIPLIB] Daniel Espinoza Problems coming from precedence constrained knapsacks arising in mining applications. These are one-period problems with integer data but large root LP GAP 1.327128 3
reblock166 [MIPLIB] Andreas Bley Multi-period mine production scheduling instance 1.408071 4
mine-166-5 [MIPLIB] Andreas Bley Multi-period mine production scheduling instance 1.423575 5
MIPLIB Top 5 opm2-z8-s0 [MIPLIB] Daniel Espinoza Problems coming from precedence constrained knapsacks arising in mining applications. These are one-period problems with integer data but large root LP GAP 0.956733 1
opm2-z6-s1 [MIPLIB] Daniel Espinoza Problems coming from precedence constrained knapsacks arising in mining applications. These are one-period problems with integer data but large root LP GAP 1.255150 2
opm2-z10-s4 [MIPLIB] Daniel Espinoza Problems coming from precedence constrained knapsacks arising in mining applications. These are one-period problems with integer data but large root LP GAP 1.327128 3
opm2-z12-s8 [MIPLIB] Daniel Espinoza Problems coming from precedence constrained knapsacks arising in mining applications. These are one-period problems with integer data but large root LP GAP 1.547278 15
rmine11 [MIPLIB] Daniel Espinoza Set of instances comming from open pit minning over a cube and several time periods and two knapsack constraints per period 2.427470 349


opm2-z7-s8: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: opm2
Assigned Model Group Rank/ISS in the MIC: 2 / 1.800

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: independentset Model group: opm2 Model group: generated Model group: mine Model group: assign1
Name independentset opm2 generated mine assign1
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 / 1.798 2 / 1.800 3 / 1.890 4 / 1.909 5 / 1.924

Model Group Summary

The table below contains summary information for the five most similar model groups to opm2-z7-s8 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 independentset Toni Sorrell These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 1.798176 1
opm2 Daniel Espinoza Problems coming from precedence constrained knapsacks arising in mining applications. These are one-period problems with integer data but large root LP GAP 1.800380 2
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. 1.890423 3
mine Andreas Bley Multi-period mine production scheduling model 1.909465 4
assign1 Robert Fourer Imported from the MIPLIB2010 submissions. 1.923861 5


Updated August 16, 2019