reblock115: Instance-to-Instance Comparison Results

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

Parent Instance (reblock115)

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

reblock115 Raw reblock115 Decomposed reblock115 Composite of MIC top 5 reblock115 Composite of MIPLIB top 5 reblock115 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.
f2gap801600 decomposed eil33-2 decomposed neos-5189128-totara decomposed neos5 decomposed pythago7825 decomposed
Name f2gap801600 [MIPLIB] eil33-2 [MIPLIB] neos-5189128-totara [MIPLIB] neos5 [MIPLIB] pythago7825 [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 / 0.853 3 / 0.864 4 / 0.868 5 / 0.878
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
f2gap801600 raw eil33-2 raw neos-5189128-totara raw neos5 raw pythago7825 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 reblock354 decomposed reblock166 decomposed reblock420 decomposed
Name mine-166-5 [MIPLIB] mine-90-10 [MIPLIB] reblock354 [MIPLIB] reblock166 [MIPLIB] reblock420 [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.
21 / 1.138 26 / 1.206 29 / 1.223 31 / 1.232 256 / 1.896
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 reblock354 raw reblock166 raw reblock420 raw

Instance Summary

The table below contains summary information for reblock115, the five most similar instances to reblock115 according to the MIC, and the five most similar instances to reblock115 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance reblock115 [MIPLIB] Andreas Bley Multi-period mine production scheduling instances 0.000000 -
MIC Top 5 f2gap801600 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 0.838229 1
eil33-2 [MIPLIB] J. Linderoth Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB 0.853444 2
neos-5189128-totara [MIPLIB] Hans Mittelmann distribution of fruit 0.864178 3
neos5 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.867991 4
pythago7825 [MIPLIB] Felix J. L. Willamowski 2-coloring of Pythagorean triples 0.877880 5
MIPLIB Top 5 mine-166-5 [MIPLIB] Andreas Bley Multi-period mine production scheduling instance 1.138389 21
mine-90-10 [MIPLIB] Andreas Bley Multi-period mine production scheduling instance 1.206434 26
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. 1.222519 29
reblock166 [MIPLIB] Andreas Bley Multi-period mine production scheduling instance 1.231583 31
reblock420 [MIPLIB] Andreas Bley Multi-period mine production scheduling instance 1.895610 256


reblock115: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: reblock
Assigned Model Group Rank/ISS in the MIC: 149 / 2.551

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: generated Model group: f2gap Model group: neos-pseudoapplication-101 Model group: 2hopcds
Name independentset generated f2gap neos-pseudoapplication-101 2hopcds
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 / 1.062 2 / 1.082 3 / 1.111 4 / 1.229 5 / 1.233

Model Group Summary

The table below contains summary information for the five most similar model groups to reblock115 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. 1.061615 1
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. 1.082348 2
f2gap Salim Haddadi Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.111393 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. 1.229095 4
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. 1.233238 5