nh97_tension: Instance-to-Instance Comparison Results

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

Parent Instance (nh97_tension)

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

nh97_tension Raw nh97_tension Decomposed nh97_tension Composite of MIC top 5 nh97_tension Composite of MIPLIB top 5 nh97_tension 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.
f2gap40400 decomposed gen-ip002 decomposed assign1-5-8 decomposed rwth-timetable decomposed gen-ip054 decomposed
Name f2gap40400 [MIPLIB] gen-ip002 [MIPLIB] assign1-5-8 [MIPLIB] rwth-timetable [MIPLIB] gen-ip054 [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 / 1.196 2 / 1.223 3 / 1.224 4 / 1.224 5 / 1.230
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
f2gap40400 raw gen-ip002 raw assign1-5-8 raw rwth-timetable raw gen-ip054 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.
timtab1CUTS decomposed timtab1 decomposed ic97_tension decomposed icir97_tension decomposed icir97_potential decomposed
Name timtab1CUTS [MIPLIB] timtab1 [MIPLIB] ic97_tension [MIPLIB] icir97_tension [MIPLIB] icir97_potential [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.
18 / 1.342 24 / 1.385 35 / 1.445 140 / 1.609 859 / 2.105
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
timtab1CUTS raw timtab1 raw ic97_tension raw icir97_tension raw icir97_potential raw

Instance Summary

The table below contains summary information for nh97_tension, the five most similar instances to nh97_tension according to the MIC, and the five most similar instances to nh97_tension according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance nh97_tension [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 f2gap40400 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.195851 1
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. 1.223206 2
assign1-5-8 [MIPLIB] Robert Fourer Imported from the MIPLIB2010 submissions. 1.223501 3
rwth-timetable [MIPLIB] Gerald Lach University Course Timetabling from the RWTH Aachen 1.223736 4
gen-ip054 [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. 1.230261 5
MIPLIB Top 5 timtab1CUTS [MIPLIB] C. Liebchen, R. Möhring Public transport scheduling problem 1.341811 18
timtab1 [MIPLIB] C. Liebchen, R. Möhring Public transport scheduling problem 1.384745 24
ic97_tension [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.444736 35
icir97_tension [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.609283 140
icir97_potential [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 2.104808 859


nh97_tension: 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: scp Model group: timtab Model group: neos-pseudoapplication-21 Model group: stein Model group: cryptanalysis
Name scp timtab neos-pseudoapplication-21 stein cryptanalysis
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 / 1.578 2 / 1.596 3 / 1.621 4 / 1.701 5 / 1.721

Model Group Summary

The table below contains summary information for the five most similar model groups to nh97_tension according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 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 1.577718 1
timtab C. Liebchen, R. Möhring Public transport scheduling problem 1.596284 2
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.621369 3
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.701253 4
cryptanalysis Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 1.720528 5