neos-3661949-lesse: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Jeff Linderoth
Description: (None provided)
MIPLIB Entry

Parent Instance (neos-3661949-lesse)

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

neos-3661949-lesse Raw neos-3661949-lesse Decomposed neos-3661949-lesse Composite of MIC top 5 neos-3661949-lesse Composite of MIPLIB top 5 neos-3661949-lesse 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.
bab6 decomposed neos-2746589-doon decomposed sct2 decomposed gsvm2rl5 decomposed sct5 decomposed
Name bab6 [MIPLIB] neos-2746589-doon [MIPLIB] sct2 [MIPLIB] gsvm2rl5 [MIPLIB] sct5 [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 / 1.129 2 / 1.179 3 / 1.201 4 / 1.203 5 / 1.248
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
bab6 raw neos-2746589-doon raw sct2 raw gsvm2rl5 raw sct5 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-1061020 decomposed lr1dr04vc05v17a-t360 decomposed lr1dr02vc05v8a-t360 decomposed atlanta-ip decomposed msc98-ip decomposed
Name neos-1061020 [MIPLIB] lr1dr04vc05v17a-t360 [MIPLIB] lr1dr02vc05v8a-t360 [MIPLIB] atlanta-ip [MIPLIB] msc98-ip [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.
421 / 1.702 887 / 2.328 908 / 2.509 929 / 2.671 954 / 2.829
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-1061020 raw lr1dr04vc05v17a-t360 raw lr1dr02vc05v8a-t360 raw atlanta-ip raw msc98-ip raw

Instance Summary

The table below contains summary information for neos-3661949-lesse, the five most similar instances to neos-3661949-lesse according to the MIC, and the five most similar instances to neos-3661949-lesse according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-3661949-lesse [MIPLIB] Jeff Linderoth (None provided) 0.000000 -
MIC Top 5 bab6 [MIPLIB] Elmar Swarat Vehicle routing with profit and an integrated crew scheduling like bab2 - bab5. Instances differ in multi-commodity-flow formulation (path oder arc formulation) or time discretization and some are quite easy to solve while others (bab2, bab3 and bab6) are very difficult. 1.128867 1
neos-2746589-doon [MIPLIB] Jeff Linderoth (None provided) 1.179033 2
sct2 [MIPLIB] Siemens Assembly line balancing for printed circuit board production 1.201324 3
gsvm2rl5 [MIPLIB] Toni Sorrell Suport vector machine with ramp loss. GSVM2-RL is the formulation found in Hess E. and Brooks P. (2015) paper, The Support Vector Machine and Mixed Integer Linear Programming: Ramp Loss SVM with L1-Norm Regularization 1.203321 4
sct5 [MIPLIB] Siemens Assembly line balancing for printed circuit board production 1.247532 5
MIPLIB Top 5 neos-1061020 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.702099 421
lr1dr04vc05v17a-t360 [MIPLIB] Dimitri Papageorgiou Maritime Inventory Routing Problem Library - Group 2 Instances. These instances are available at https://mirplib.scl.gatech.edu/instances, along with a host of additional information such as the underlying data used to generate the model, best known upper and lower bounds, and more. There are three sets of 24 instances (for a total of 72 instances) with a planning horizon of 120, 180, and 360 time periods, respectively. As of March 2016, Cplex and Gurobi could only solve one or two to provably optimality in less than an hour. 2.328334 887
lr1dr02vc05v8a-t360 [MIPLIB] Dimitri Papageorgiou Maritime Inventory Routing Problem Library - Group 2 Instances. These instances are available at https://mirplib.scl.gatech.edu/instances, along with a host of additional information such as the underlying data used to generate the model, best known upper and lower bounds, and more. There are three sets of 24 instances (for a total of 72 instances) with a planning horizon of 120, 180, and 360 time periods, respectively. As of March 2016, Cplex and Gurobi could only solve one or two to provably optimality in less than an hour. 2.509383 908
atlanta-ip [MIPLIB] E-Plus, D. Bienstock, A. Bley, R. Wessäly Min-cost network dimensioning problems with a finite set of link capacities for each bidirected link, unsplittable shortest path routing, path restoration for single node failures, and routing path length restrictions 2.671345 929
msc98-ip [MIPLIB] E-Plus, D. Bienstock, A. Bley, R. Wessäly Min-cost network dimensioning problems with a finite set of link capacities for each bidirected link, unsplittable shortest path routing, path restoration for single node failures, and routing path length restrictions 2.828549 954


neos-3661949-lesse: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-11
Assigned Model Group Rank/ISS in the MIC: 118 / 2.689

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: square Model group: neos-pseudoapplication-4 Model group: neos-pseudoapplication-109 Model group: supportvectormachine
Name scp square neos-pseudoapplication-4 neos-pseudoapplication-109 supportvectormachine
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 / 1.866 2 / 1.873 3 / 1.874 4 / 1.884 5 / 1.886

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-3661949-lesse 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 1.866316 1
square Sascha Kurz Squaring the square For a given integer n, determine the minimum number of squares in a tiling of an \\(n\\times n\\) square using using only integer sided squares of smaller size. (Although the models get quite large even for moderate n, they can be solved to optimality for all \\(n \\le 61\\), while challenging the MIP solver, especially the presolver.) 1.872531 2
neos-pseudoapplication-4 Jeff Linderoth (None provided) 1.873534 3
neos-pseudoapplication-109 Jeff Linderoth (None provided) 1.884154 4
supportvectormachine Toni Sorrell Suport vector machine with ramp loss. GSVM2-RL is the formulation found in Hess E. and Brooks P. (2015) paper, The Support Vector Machine and Mixed Integer Linear Programming: Ramp Loss SVM with L1-Norm Regularization 1.886402 5