neos-4760493-puerua: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Hans Mittelmann
Description: Collection of anonymous submissions to the NEOS Server for Optimization
MIPLIB Entry

Parent Instance (neos-4760493-puerua)

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

neos-4760493-puerua Raw neos-4760493-puerua Decomposed neos-4760493-puerua Composite of MIC top 5 neos-4760493-puerua Composite of MIPLIB top 5 neos-4760493-puerua 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 supportcase6 decomposed neos-5013590-toitoi decomposed sorrell4 decomposed neos-3634244-kauru decomposed
Name t1717 [MIPLIB] supportcase6 [MIPLIB] neos-5013590-toitoi [MIPLIB] sorrell4 [MIPLIB] neos-3634244-kauru [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 / 0.762 2 / 0.798 3 / 0.834 4 / 0.840 5 / 0.846
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
t1717 raw supportcase6 raw neos-5013590-toitoi raw sorrell4 raw neos-3634244-kauru 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-5013590-toitoi decomposed neos-4391920-timok decomposed neos-4359986-taipa decomposed neos-4532248-waihi decomposed neos-4763324-toguru decomposed
Name neos-5013590-toitoi [MIPLIB] neos-4391920-timok [MIPLIB] neos-4359986-taipa [MIPLIB] neos-4532248-waihi [MIPLIB] neos-4763324-toguru* [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.
3 / 0.834 652 / 3.296 673 / 3.316 714 / 3.339 0* / 0.000*
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-5013590-toitoi raw neos-4391920-timok raw neos-4359986-taipa raw neos-4532248-waihi raw neos-4763324-toguru raw

Instance Summary

The table below contains summary information for neos-4760493-puerua, the five most similar instances to neos-4760493-puerua according to the MIC, and the five most similar instances to neos-4760493-puerua according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-4760493-puerua [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 0.000000 -
MIC Top 5 t1717 [MIPLIB] R. Borndörfer Vehicle scheduling set partitioning problem from Berlin's Telebus handicapped people's transportation system 0.762355 1
supportcase6 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 0.798088 2
neos-5013590-toitoi [MIPLIB] Hans Mittelmann additional files should be Gurobi output and solution and submitter 0.833948 3
sorrell4 [MIPLIB] Toni Sorrell These instances are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 0.840257 4
neos-3634244-kauru [MIPLIB] Jeff Linderoth (None provided) 0.846383 5
MIPLIB Top 5 neos-5013590-toitoi [MIPLIB] Hans Mittelmann additional files should be Gurobi output and solution and submitter 0.833948 3
neos-4391920-timok [MIPLIB] Jeff Linderoth (None provided) 3.296067 652
neos-4359986-taipa [MIPLIB] Jeff Linderoth (None provided) 3.316265 673
neos-4532248-waihi [MIPLIB] Jeff Linderoth (None provided) 3.339321 714
neos-4763324-toguru* [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 0.000000* 0*


neos-4760493-puerua: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-106
Assigned Model Group Rank/ISS in the MIC: 2 / 0.935

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: neos-pseudoapplication-106 Model group: f2gap Model group: iis Model group: assign1
Name 2hopcds neos-pseudoapplication-106 f2gap iis 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 / 0.836 2 / 0.936 3 / 0.971 4 / 0.998 5 / 1.022

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-4760493-puerua 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. 0.835600 1
neos-pseudoapplication-106 Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 0.935744 2
f2gap Salim Haddadi Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 0.970774 3
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. 0.998268 4
assign1 Robert Fourer Imported from the MIPLIB2010 submissions. 1.022456 5


* neos-4763324-toguru is a duplicate of neos-4760493-puerua.