trento1: Instance-to-Instance Comparison Results

Type: Instance
Submitter: MIPLIB submission pool
Description: Imported from the MIPLIB2010 submissions.
MIPLIB Entry

Parent Instance (trento1)

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

trento1 Raw trento1 Decomposed trento1 Composite of MIC top 5 trento1 Composite of MIPLIB top 5 trento1 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.
dc1c decomposed biella1 decomposed dolom1 decomposed pythago7824 decomposed pythago7825 decomposed
Name dc1c [MIPLIB] biella1 [MIPLIB] dolom1 [MIPLIB] pythago7824 [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 / 0.648 2 / 0.803 3 / 0.854 4 / 1.016 5 / 1.020
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
dc1c raw biella1 raw dolom1 raw pythago7824 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.
dc1c decomposed biella1 decomposed dolom1 decomposed nsr8k decomposed siena1 decomposed
Name dc1c [MIPLIB] biella1 [MIPLIB] dolom1 [MIPLIB] nsr8k [MIPLIB] siena1 [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 / 0.648 2 / 0.803 3 / 0.854 10 / 1.141 60 / 1.499
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
dc1c raw biella1 raw dolom1 raw nsr8k raw siena1 raw

Instance Summary

The table below contains summary information for trento1, the five most similar instances to trento1 according to the MIC, and the five most similar instances to trento1 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance trento1 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 dc1c [MIPLIB] Double-Click SAS Crew scheduling instance. This problem was solved on ISM supercomputer Fujitsu PRIMERGY RX200S5 (http://www.ism.ac.jp/computer_system/eng/sc/index.html) by ParaSCIP in approximately 1100 hours with 14 times restarted 15 jobs. 0.647807 1
biella1 [MIPLIB] Double-Click SAS Crew scheduling instance 0.802628 2
dolom1 [MIPLIB] Double-Click SAS Crew scheduling instance. Solved with ParaSCIP with SCIP 3.0.1 linked to CPLEX 12.5 as an LP solver on HLRN III with 12288 cores in two runs First run found a feasible solution whose objective function value is 6615265.0000. Giving the feasible solution, the second run solved the instance in 13684.7671 sec. 0.853817 3
pythago7824 [MIPLIB] Felix J. L. Willamowski 2-coloring of Pythagorean triples 1.016129 4
pythago7825 [MIPLIB] Felix J. L. Willamowski 2-coloring of Pythagorean triples 1.019838 5
MIPLIB Top 5 dc1c [MIPLIB] Double-Click SAS Crew scheduling instance. This problem was solved on ISM supercomputer Fujitsu PRIMERGY RX200S5 (http://www.ism.ac.jp/computer_system/eng/sc/index.html) by ParaSCIP in approximately 1100 hours with 14 times restarted 15 jobs. 0.647807 1
biella1 [MIPLIB] Double-Click SAS Crew scheduling instance 0.802628 2
dolom1 [MIPLIB] Double-Click SAS Crew scheduling instance. Solved with ParaSCIP with SCIP 3.0.1 linked to CPLEX 12.5 as an LP solver on HLRN III with 12288 cores in two runs First run found a feasible solution whose objective function value is 6615265.0000. Giving the feasible solution, the second run solved the instance in 13684.7671 sec. 0.853817 3
nsr8k [MIPLIB] MIPLIB submission pool Crew scheduling instance 1.141142 10
siena1 [MIPLIB] Double-Click SAS Crew scheduling instance 1.499344 60


trento1: 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: 2hopcds Model group: f2gap Model group: neos-pseudoapplication-103 Model group: mod Model group: assign1
Name 2hopcds f2gap neos-pseudoapplication-103 mod 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 / 1.319 2 / 1.445 3 / 1.449 4 / 1.520 5 / 1.521

Model Group Summary

The table below contains summary information for the five most similar model groups to trento1 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 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. 1.318865 1
f2gap Salim Haddadi Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.444693 2
neos-pseudoapplication-103 Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 1.449051 3
mod MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.519704 4
assign1 Robert Fourer Imported from the MIPLIB2010 submissions. 1.520812 5