ns1116954: Instance-to-Instance Comparison Results

Type: Instance
Submitter: NEOS Server Submission
Description: Instance coming from the NEOS Server with unknown application
MIPLIB Entry

Parent Instance (ns1116954)

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

ns1116954 Raw ns1116954 Decomposed ns1116954 Composite of MIC top 5 ns1116954 Composite of MIPLIB top 5 ns1116954 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.
nh97_tension decomposed f2gap401600 decomposed f2gap40400 decomposed gen-ip036 decomposed gen-ip002 decomposed
Name nh97_tension [MIPLIB] f2gap401600 [MIPLIB] f2gap40400 [MIPLIB] gen-ip036 [MIPLIB] gen-ip002 [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 / 1.275 2 / 1.323 3 / 1.343 4 / 1.346 5 / 1.359
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
nh97_tension raw f2gap401600 raw f2gap40400 raw gen-ip036 raw gen-ip002 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.
net12 decomposed fhnw-schedule-pairb200 decomposed neos-4300652-rahue decomposed neos-4754521-awarau decomposed istanbul-no-cutoff decomposed
Name net12 [MIPLIB] fhnw-schedule-pairb200 [MIPLIB] neos-4300652-rahue [MIPLIB] neos-4754521-awarau [MIPLIB] istanbul-no-cutoff [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.
577 / 1.924 628 / 1.944 711 / 1.991 720 / 1.998 802 / 2.055
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
net12 raw fhnw-schedule-pairb200 raw neos-4300652-rahue raw neos-4754521-awarau raw istanbul-no-cutoff raw

Instance Summary

The table below contains summary information for ns1116954, the five most similar instances to ns1116954 according to the MIC, and the five most similar instances to ns1116954 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance ns1116954 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.000000 -
MIC Top 5 nh97_tension [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.274706 1
f2gap401600 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.322974 2
f2gap40400 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.343006 3
gen-ip036 [MIPLIB] Simon Bowly Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. 1.345909 4
gen-ip002 [MIPLIB] Simon Bowly Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. 1.358562 5
MIPLIB Top 5 net12 [MIPLIB] P. Belotti Network design instance 1.923526 577
fhnw-schedule-pairb200 [MIPLIB] Simon Felix Continuous-time project scheduling and selection, inspired by an industry use-case. Each project has a value, the sum should be maximized. Each project has a deadline, and an earliest start date. Three formulations of the same problem ("Pair A", "Pair B" and "Slot") - we expect "Pair B" to be the best formulation. 1.944099 628
neos-4300652-rahue [MIPLIB] Jeff Linderoth (None provided) 1.990683 711
neos-4754521-awarau [MIPLIB] Jeff Linderoth (None provided) 1.997708 720
istanbul-no-cutoff [MIPLIB] Utz-Uwe Haus Exact MILP reformulation using binary decision diagrams to obtain scenario bundles of 2-stage stochastic expected shortest path and expected maximum flow problem with decision dependent scenario probabilities. Notes: * very few binary variables * for each fixing of the binaries a system of equations computing conditioned probabilities remains 2.054626 802


ns1116954: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-51
Assigned Model Group Rank/ISS in the MIC: 125 / 2.668

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: neos-pseudoapplication-21 Model group: scp Model group: generated Model group: stein Model group: markshare
Name neos-pseudoapplication-21 scp generated stein markshare
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 / 1.810 2 / 1.817 3 / 1.890 4 / 1.947 5 / 1.957

Model Group Summary

The table below contains summary information for the five most similar model groups to ns1116954 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.809702 1
scp Shunji Umetani This is a random test model generator for SCP using the scheme of the following paper, namely the column cost c[j] are integer randomly generated from [1,100]; every column covers at least one row; and every row is covered by at least two columns. see reference: E. Balas and A. Ho, Set covering algorithms using cutting planes, heuristics, and subgradient optimization: A computational study, Mathematical Programming, 12 (1980), 37-60. We have newly generated Classes I-N with the following parameter values, where each class has five models. We have also generated reduced models by a standard pricing method in the following paper: S. Umetani and M. Yagiura, Relaxation heuristics for the set covering problem, Journal of the Operations Research Society of Japan, 50 (2007), 350-375. You can obtain the model generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark 1.817400 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. 1.890191 3
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.946947 4
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.956624 5