neos-960392: Instance-to-Instance Comparison Results

Type: Instance
Submitter: NEOS Server Submission
Description: Imported from the MIPLIB2010 submissions.
MIPLIB Entry

Parent Instance (neos-960392)

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

neos-960392 Raw neos-960392 Decomposed neos-960392 Composite of MIC top 5 neos-960392 Composite of MIPLIB top 5 neos-960392 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.
stein15inf decomposed neos-3025225-shelon decomposed b-ball decomposed stein9inf decomposed scpm1 decomposed
Name stein15inf [MIPLIB] neos-3025225-shelon [MIPLIB] b-ball [MIPLIB] stein9inf [MIPLIB] scpm1 [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 / 1.217 2 / 1.233 3 / 1.251 4 / 1.264 5 / 1.269
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
stein15inf raw neos-3025225-shelon raw b-ball raw stein9inf raw scpm1 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-555884 decomposed academictimetablesmall decomposed academictimetablebig decomposed mzzv42z decomposed chromaticindex512-7 decomposed
Name neos-555884 [MIPLIB] academictimetablesmall [MIPLIB] academictimetablebig [MIPLIB] mzzv42z [MIPLIB] chromaticindex512-7 [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.
530 / 1.812 664 / 1.919 669 / 1.936 821 / 2.233 911 / 2.617
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-555884 raw academictimetablesmall raw academictimetablebig raw mzzv42z raw chromaticindex512-7 raw

Instance Summary

The table below contains summary information for neos-960392, the five most similar instances to neos-960392 according to the MIC, and the five most similar instances to neos-960392 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-960392 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 stein15inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.217087 1
neos-3025225-shelon [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 1.232970 2
b-ball [MIPLIB] Christopher Cullenbine It is a very simple problem, yet CPLEX will not close the MIPGAP. CPLEX seems to get stuck in a loop or something. 1.251318 3
stein9inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.264096 4
scpm1 [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 1.269357 5
MIPLIB Top 5 neos-555884 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.812445 530
academictimetablesmall [MIPLIB] Joshua Friedman Academic timetabling integer program 1.918984 664
academictimetablebig [MIPLIB] Joshua Friedman Academic timetabling integer program Reported solved after 1 1/2 days using Gurobi. 1.936005 669
mzzv42z [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 2.232501 821
chromaticindex512-7 [MIPLIB] Pierre Le Bodic Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees. 2.616561 911


neos-960392: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-94
Assigned Model Group Rank/ISS in the MIC: 190 / 3.526

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: stein Model group: scp Model group: shs Model group: markshare Model group: neos-pseudoapplication-74
Name stein scp shs markshare neos-pseudoapplication-74
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 / 1.628 2 / 1.668 3 / 1.815 4 / 1.827 5 / 1.891

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-960392 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.627560 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 1.667513 2
shs Christoph Helmberg Joint online truck scheduling and inventory management for multiple warehouses. 1.815150 3
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.827116 4
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.891485 5