reblock166: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Andreas Bley
Description: Multi-period mine production scheduling instance
MIPLIB Entry

Parent Instance (reblock166)

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

reblock166 Raw reblock166 Decomposed reblock166 Composite of MIC top 5 reblock166 Composite of MIPLIB top 5 reblock166 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.
mine-166-5 decomposed mine-90-10 decomposed pythago7825 decomposed pythago7824 decomposed f2000 decomposed
Name mine-166-5 [MIPLIB] mine-90-10 [MIPLIB] pythago7825 [MIPLIB] pythago7824 [MIPLIB] f2000 [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 / 0.688 2 / 0.751 3 / 1.036 4 / 1.047 5 / 1.127
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
mine-166-5 raw mine-90-10 raw pythago7825 raw pythago7824 raw f2000 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.
mine-166-5 decomposed mine-90-10 decomposed reblock115 decomposed reblock420 decomposed reblock354 decomposed
Name mine-166-5 [MIPLIB] mine-90-10 [MIPLIB] reblock115 [MIPLIB] reblock420 [MIPLIB] reblock354 [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 / 0.688 2 / 0.751 16 / 1.232 29 / 1.353 51 / 1.486
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
mine-166-5 raw mine-90-10 raw reblock115 raw reblock420 raw reblock354 raw

Instance Summary

The table below contains summary information for reblock166, the five most similar instances to reblock166 according to the MIC, and the five most similar instances to reblock166 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance reblock166 [MIPLIB] Andreas Bley Multi-period mine production scheduling instance 0.000000 -
MIC Top 5 mine-166-5 [MIPLIB] Andreas Bley Multi-period mine production scheduling instance 0.687892 1
mine-90-10 [MIPLIB] Andreas Bley Multi-period mine production scheduling instance 0.751107 2
pythago7825 [MIPLIB] Felix J. L. Willamowski 2-coloring of Pythagorean triples 1.035885 3
pythago7824 [MIPLIB] Felix J. L. Willamowski 2-coloring of Pythagorean triples 1.047112 4
f2000 [MIPLIB] M. Winkler Reformulated SAT instance from the 2010 SAT conference pseudo-Boolean competition 1.127239 5
MIPLIB Top 5 mine-166-5 [MIPLIB] Andreas Bley Multi-period mine production scheduling instance 0.687892 1
mine-90-10 [MIPLIB] Andreas Bley Multi-period mine production scheduling instance 0.751107 2
reblock115 [MIPLIB] Andreas Bley Multi-period mine production scheduling instances 1.231583 16
reblock420 [MIPLIB] Andreas Bley Multi-period mine production scheduling instance 1.352592 29
reblock354 [MIPLIB] Andreas Bley Multi-period mine production scheduling instance. Solved using ug[SCIP/spx], a distributed massively parallel version of SCIP run on 2,000 cores at the HLRN-II super computer facility. 1.486040 51


reblock166: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: reblock
Assigned Model Group Rank/ISS in the MIC: 23 / 2.072

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: mine Model group: assign1 Model group: 2hopcds Model group: f2gap Model group: independentset
Name mine assign1 2hopcds f2gap 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 / 0.616 2 / 1.522 3 / 1.533 4 / 1.636 5 / 1.680

Model Group Summary

The table below contains summary information for the five most similar model groups to reblock166 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 mine Andreas Bley Multi-period mine production scheduling model 0.615783 1
assign1 Robert Fourer Imported from the MIPLIB2010 submissions. 1.521924 2
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. 1.532687 3
f2gap Salim Haddadi Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.636337 4
independentset Toni Sorrell These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 1.680377 5