neos-859770: 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 (neos-859770)

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

neos-859770 Raw neos-859770 Decomposed neos-859770 Composite of MIC top 5 neos-859770 Composite of MIPLIB top 5 neos-859770 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.
air04 decomposed core2536-691 decomposed eilC76-2 decomposed v150d30-2hopcds decomposed scpj4scip decomposed
Name air04 [MIPLIB] core2536-691 [MIPLIB] eilC76-2 [MIPLIB] v150d30-2hopcds [MIPLIB] scpj4scip [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 / 1.147 2 / 1.154 3 / 1.162 4 / 1.193 5 / 1.197
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
air04 raw core2536-691 raw eilC76-2 raw v150d30-2hopcds raw scpj4scip 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.
bab3 decomposed bab5 decomposed n2seq36q decomposed bab2 decomposed neos-941313 decomposed
Name bab3 [MIPLIB] bab5 [MIPLIB] n2seq36q [MIPLIB] bab2 [MIPLIB] neos-941313 [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.
94 / 1.892 211 / 2.341 242 / 2.415 391 / 2.652 862 / 3.005
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
bab3 raw bab5 raw n2seq36q raw bab2 raw neos-941313 raw

Instance Summary

The table below contains summary information for neos-859770, the five most similar instances to neos-859770 according to the MIC, and the five most similar instances to neos-859770 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-859770 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.000000 -
MIC Top 5 air04 [MIPLIB] G. Astfalk Airline crew scheduling set partitioning problem 1.146579 1
core2536-691 [MIPLIB] A. Caprara, M. Fischetti, P. Toth Set covering instance coming from Italian railway models 1.154458 2
eilC76-2 [MIPLIB] J. Linderoth Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB Imported from the MIPLIB2010 submissions. 1.162293 3
v150d30-2hopcds [MIPLIB] 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, instances with as few as 120 variables are left unsolved after one hour using Gurobi 7.0.2. 1.193200 4
scpj4scip [MIPLIB] Shunji Umetani This is a random test instance 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 instances. We have also generated reduced instances 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 instance generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark 1.197422 5
MIPLIB Top 5 bab3 [MIPLIB] Elmar Swarat Vehicle routing with profits and an integrated crew scheduling problem formulated by two coupled multi-commodity flow problems 1.892449 94
bab5 [MIPLIB] Elmar Swarat Vehicle routing with profits and an integrated crew scheduling problem formulated by two coupled multi-commodity flow problems 2.341479 211
n2seq36q [MIPLIB] R. Meirich Static line planning models on the Dutch IC network 2.414614 242
bab2 [MIPLIB] Elmar Swarat Vehicle Routing with profits and an integrated crew scheduling formulated by two coupled multi-commodity flow problems. 2.652067 391
neos-941313 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 3.004961 862


neos-859770: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-81
Assigned Model Group Rank/ISS in the MIC: 1 / 0.931

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-81 Model group: 2hopcds Model group: f2gap Model group: mod Model group: maxfeassub
Name neos-pseudoapplication-81 2hopcds f2gap mod maxfeassub
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 / 0.932 2 / 1.185 3 / 1.303 4 / 1.346 5 / 1.376

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-859770 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-81 Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 0.931692 1
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. 1.185335 2
f2gap Salim Haddadi Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.303499 3
mod MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.345733 4
maxfeassub Marc Pfetsch Set covering problems arising from a Benders algorithm for finding maximum feasible subsystems. More details on the generation is given in the README file in the tarball. 1.375526 5