dc1l: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Double-Click SAS
Description: Crew scheduling instance
MIPLIB Entry

Parent Instance (dc1l)

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

dc1l Raw dc1l Decomposed dc1l Composite of MIC top 5 dc1l Composite of MIPLIB top 5 dc1l 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.
t1717 decomposed t1722 decomposed neos-4760493-puerua decomposed supportcase6 decomposed ex10 decomposed
Name t1717 [MIPLIB] t1722 [MIPLIB] neos-4760493-puerua [MIPLIB] supportcase6 [MIPLIB] ex10 [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 / 0.899 2 / 0.907 3 / 0.918 4 / 0.973 5 / 0.979
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
t1717 raw t1722 raw neos-4760493-puerua raw supportcase6 raw ex10 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.
nsr8k decomposed dolom1 decomposed dc1c decomposed trento1 decomposed biella1 decomposed
Name nsr8k [MIPLIB] dolom1 [MIPLIB] dc1c [MIPLIB] trento1 [MIPLIB] biella1 [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.
31 / 1.394 39 / 1.531 40 / 1.553 43 / 1.591 47 / 1.637
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
nsr8k raw dolom1 raw dc1c raw trento1 raw biella1 raw

Instance Summary

The table below contains summary information for dc1l, the five most similar instances to dc1l according to the MIC, and the five most similar instances to dc1l according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance dc1l [MIPLIB] Double-Click SAS Crew scheduling instance 0.000000 -
MIC Top 5 t1717 [MIPLIB] R. Borndörfer Vehicle scheduling set partitioning problem from Berlin's Telebus handicapped people's transportation system 0.899164 1
t1722 [MIPLIB] R. Borndörfer Vehicle scheduling set partitioning problem from Berlin's Telebus handicapped people's transportation system 0.907055 2
neos-4760493-puerua [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 0.917658 3
supportcase6 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 0.973075 4
ex10 [MIPLIB] Iulian Ober Formulations of Boolean SAT instance 0.979271 5
MIPLIB Top 5 nsr8k [MIPLIB] MIPLIB submission pool Crew scheduling instance 1.393724 31
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. 1.530503 39
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. 1.552729 40
trento1 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.591193 43
biella1 [MIPLIB] Double-Click SAS Crew scheduling instance 1.636803 47


dc1l: 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: air Model group: neos-pseudoapplication-46 Model group: iis Model group: reblock Model group: ivu
Name air neos-pseudoapplication-46 iis reblock ivu
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 / 1.086 2 / 1.101 3 / 1.111 4 / 1.129 5 / 1.145

Model Group Summary

The table below contains summary information for the five most similar model groups to dc1l according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 air G. Astfalk Airline crew scheduling set partitioning problem 1.085739 1
neos-pseudoapplication-46 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.101495 2
iis Marc Pfetsch 23 "middlehard" Set-Covering Models for MIPLIB: they have a small number of variables compared to the number of constraints and CPLEX 12.1 needs about one hour to solve them.For more information, have a look into the readme file which explains how the models can be created. 1.111104 3
reblock Andreas Bley Multi-period mine production scheduling model. Solved using ug[SCIP/spx], a distributed massively parallel version of SCIP run on 2,000 cores at the HLRN-II super computer facility. 1.128987 4
ivu S. Weider Set partitioning model resulting from a column generation algorithm used for duty scheduling in public transportation. Solved in June 2014 using CPLEX 12.6 with 48 threads in about 25 days. 1.144736 5