stp3d: Instance-to-Instance Comparison Results

Type: Instance
Submitter: T. Koch
Description: Steiner tree packing instance in a 3 dimensional grid-graph, LP relaxation is highly degenerate. Alkis Vazacopoulos reports finding the first feasible solution of this instance using XPRESS 2006B. This instance was solved by a first implementation of ParaSCIP using up to 2048 cores of HLRN-II(http://www.hlrn.de). ParaSCIP, mainly developed by Yuji Shinano, is an extension of SCIP and realizes a parallelization on a distributed memory computing environment. For being able to interrupt and warmstart the computations, ParaSCIP has a checkpoint mechanism. Therefore, selected subproblems are stored as warm start information, which allows to virtually run ParaSCIP, although the HLRN-II environment imposes a time limit of 48 hours per run. The problem was presolved several times with SCIP presolving techniques. After that, it took approximately 114 hours to solve this instance.
MIPLIB Entry

Parent Instance (stp3d)

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

stp3d Raw stp3d Decomposed stp3d Composite of MIC top 5 stp3d Composite of MIPLIB top 5 stp3d 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.
comp08-2idx decomposed beasleyC2 decomposed neos-4531126-vouga decomposed beasleyC1 decomposed ab71-20-100 decomposed
Name comp08-2idx [MIPLIB] beasleyC2 [MIPLIB] neos-4531126-vouga [MIPLIB] beasleyC1 [MIPLIB] ab71-20-100 [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 / 0.611 2 / 0.613 3 / 0.620 4 / 0.622 5 / 0.631
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
comp08-2idx raw beasleyC2 raw neos-4531126-vouga raw beasleyC1 raw ab71-20-100 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-4295773-pissa decomposed supportcase29 decomposed neos-4300652-rahue decomposed neos-631710 decomposed ns1828997 decomposed
Name neos-4295773-pissa [MIPLIB] supportcase29 [MIPLIB] neos-4300652-rahue [MIPLIB] neos-631710 [MIPLIB] ns1828997 [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.
6 / 0.631 33 / 0.699 47 / 0.740 141 / 0.901 607 / 1.672
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-4295773-pissa raw supportcase29 raw neos-4300652-rahue raw neos-631710 raw ns1828997 raw

Instance Summary

The table below contains summary information for stp3d, the five most similar instances to stp3d according to the MIC, and the five most similar instances to stp3d according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance stp3d [MIPLIB] T. Koch Steiner tree packing instance in a 3 dimensional grid-graph, LP relaxation is highly degenerate. Alkis Vazacopoulos reports finding the first feasible solution of this instance using XPRESS 2006B. This instance was solved by a first implementation of ParaSCIP using up to 2048 cores of HLRN-II(http://www.hlrn.de). ParaSCIP, mainly developed by Yuji Shinano, is an extension of SCIP and realizes a parallelization on a distributed memory computing environment. For being able to interrupt and warmstart the computations, ParaSCIP has a checkpoint mechanism. Therefore, selected subproblems are stored as warm start information, which allows to virtually run ParaSCIP, although the HLRN-II environment imposes a time limit of 48 hours per run. The problem was presolved several times with SCIP presolving techniques. After that, it took approximately 114 hours to solve this instance. 0.000000 -
MIC Top 5 comp08-2idx [MIPLIB] Matias Sørensen Instances comp01-21 of curriculum based course timetabling from the International Timetabling Competition 2007. These are time-assignment models (Stage I of the decomposed model), which are smaller than the full model, but still hard to solve. 0.610923 1
beasleyC2 [MIPLIB] F. Ortega, L. Wolsey Fixed cost network flow problems 0.612679 2
neos-4531126-vouga [MIPLIB] Jeff Linderoth (None provided) 0.619532 3
beasleyC1 [MIPLIB] F. Ortega, L. Wolsey Fixed cost network flow problems 0.621759 4
ab71-20-100 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.630937 5
MIPLIB Top 5 neos-4295773-pissa [MIPLIB] Jeff Linderoth (None provided) 0.631163 6
supportcase29 [MIPLIB] Domenico Salvagnin Instance coming from IBM developerWorks forum with unknown application. 0.698822 33
neos-4300652-rahue [MIPLIB] Jeff Linderoth (None provided) 0.739771 47
neos-631710 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application. Solved with Gurobi 4.6.1 (12 threads) in 1264.7 sec. 0.901212 141
ns1828997 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application. 1.672269 607


stp3d: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: no model group assignment
Assigned Model Group Rank/ISS in the MIC: N.A. / N.A.

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: ab Model group: sp_product Model group: neos-pseudoapplication-2 Model group: allcolor Model group: radiation
Name ab sp_product neos-pseudoapplication-2 allcolor radiation
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 / 0.868 2 / 1.064 3 / 1.073 4 / 1.167 5 / 1.181

Model Group Summary

The table below contains summary information for the five most similar model groups to stp3d according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 ab MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.867895 1
sp_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.063740 2
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.072851 3
allcolor Domenico Salvagnin Prepack optimization model. 1.167166 4
radiation Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 1.180643 5


Updated August 16, 2019