neos-4360552-sangro: 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-4360552-sangro)

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

neos-4360552-sangro Raw neos-4360552-sangro Decomposed neos-4360552-sangro Composite of MIC top 5 neos-4360552-sangro Composite of MIPLIB top 5 neos-4360552-sangro 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.
tpl-tub-ws1617 decomposed tpl-tub-ss16 decomposed iis-hc-cov decomposed momentum2 decomposed ns1116954 decomposed
Name tpl-tub-ws1617 [MIPLIB] tpl-tub-ss16 [MIPLIB] iis-hc-cov [MIPLIB] momentum2 [MIPLIB] ns1116954 [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 / 1.587 2 / 1.613 3 / 1.739 4 / 1.763 5 / 1.770
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
tpl-tub-ws1617 raw tpl-tub-ss16 raw iis-hc-cov raw momentum2 raw ns1116954 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-5178119-nalagi decomposed supportcase3 decomposed s1234 decomposed bnatt400 decomposed bnatt500 decomposed
Name neos-5178119-nalagi [MIPLIB] supportcase3 [MIPLIB] s1234 [MIPLIB] bnatt400 [MIPLIB] bnatt500 [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.
250 / 2.405 407 / 2.543 431 / 2.555 671 / 2.682 700 / 2.701
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-5178119-nalagi raw supportcase3 raw s1234 raw bnatt400 raw bnatt500 raw

Instance Summary

The table below contains summary information for neos-4360552-sangro, the five most similar instances to neos-4360552-sangro according to the MIC, and the five most similar instances to neos-4360552-sangro according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-4360552-sangro [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 0.000000 -
MIC Top 5 tpl-tub-ws1617 [MIPLIB] János Höner Model for the Post-Enrollment Course Timetabling Problem at TU Berlin from the summer term 2016 and the winter term 2016/2017 1.586519 1
tpl-tub-ss16 [MIPLIB] János Höner Model for the Post-Enrollment Course Timetabling Problem at TU Berlin from the summer term 2016 and the winter term 2016/2017 1.613117 2
iis-hc-cov [MIPLIB] Marc Pfetsch 23 "middlehard" Set-Covering Instances 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 instances can be created. 1.738795 3
momentum2 [MIPLIB] T. Koch Snapshot based UMTS planning problem, having a very wide dynamic range in the matrix coefficients and tending to be numerically unstable 1.762576 4
ns1116954 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.770487 5
MIPLIB Top 5 neos-5178119-nalagi [MIPLIB] Jeff Linderoth (None provided) 2.405184 250
supportcase3 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application Solved with ParaSCIP in 1551 seconds with 71 solvers(72 cores). 2.543426 407
s1234 [MIPLIB] Siwei Sun These models come from my cryptographic research and are used to search for the best differential characteristics of the round-reduced versions of the block cipher Serpent with the mixed-integer programming technique. For all the models, including S1234.lp, S56701.lp, S456701.lp, I have found a feasible solution in the corresponding mst file. The challenge is that can we find better solutions or can we find the best solutions. 2.554822 431
bnatt400 [MIPLIB] Tatsuya Akutsu Model to identify a singleton attractor in a Boolean network, applications in computational systems biology. Solved by SCIP 3.0 with SoPlex 1.7.0 in half an hour. A Intel Core2 Extreme CPU X9659 @3.00GHz was used. 2.682290 671
bnatt500 [MIPLIB] Tatsuya Akutsu We are submitting ILP data for identification of a singletonattractor in a Boolean newtork, which is a well-known problemin computational systems biology.This problem is known to be NP-hard and we developed a methodto transform an instance of the problem to an integer linearprogram (ILP).We used ILPs from artificially generated Boolean networks ofindegree 3.The size of the networks are: 350, 400, 500.Even for the case of 500, we could not find a solution within6 hours using CPLEX 11.2 on a PC with XEON 5470 3.33GHz CPU.(This ILP corresponds to the case of size=350.File format is (zipped) CPLEX LP format.)The details of the method appeared in:T. Akutsu, M. Hayashida and T. Tamura, Integer programming-basedmethods for attractor detection and control of Boolean networks,Proc. The combined 48th IEEE Conference on Decision and Controland 28th Chinese Control Conference (IEEE CDC/CCC 2009), 5610-5617, 2009. 2.700929 700


neos-4360552-sangro: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-62
Assigned Model Group Rank/ISS in the MIC: 10 / 2.160

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: neos-pseudoapplication-21 Model group: generated Model group: neos-pseudoapplication-101 Model group: stein
Name independentset neos-pseudoapplication-21 generated neos-pseudoapplication-101 stein
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 / 1.858 2 / 1.869 3 / 1.871 4 / 1.884 5 / 1.969

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-4360552-sangro 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. 1.858192 1
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.868714 2
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. 1.871378 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. 1.884108 4
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.969040 5