rentacar: Instance-to-Instance Comparison Results

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

Parent Instance (rentacar)

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

rentacar Raw rentacar Decomposed rentacar Composite of MIC top 5 rentacar Composite of MIPLIB top 5 rentacar 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.
noswot decomposed gen-ip054 decomposed gen-ip002 decomposed supportcase14 decomposed gen-ip016 decomposed
Name noswot [MIPLIB] gen-ip054 [MIPLIB] gen-ip002 [MIPLIB] supportcase14 [MIPLIB] gen-ip016 [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 / 1.240 2 / 1.303 3 / 1.323 4 / 1.325 5 / 1.325
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
noswot raw gen-ip054 raw gen-ip002 raw supportcase14 raw gen-ip016 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.
snp-02-004-104 decomposed snp-04-052-052 decomposed snp-06-004-052 decomposed misc04inf decomposed gasprod2-1 decomposed
Name snp-02-004-104 [MIPLIB] snp-04-052-052 [MIPLIB] snp-06-004-052 [MIPLIB] misc04inf [MIPLIB] gasprod2-1 [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.
176 / 1.586 196 / 1.595 448 / 1.707 535 / 1.754 929 / 2.545
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
snp-02-004-104 raw snp-04-052-052 raw snp-06-004-052 raw misc04inf raw gasprod2-1 raw

Instance Summary

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

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance rentacar [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 noswot [MIPLIB] J. Gregory, L. Schrage Unknown application 1.240272 1
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. 1.303443 2
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. 1.323263 3
supportcase14 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 1.324964 4
gen-ip016 [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. Solved with XPRESS in a few seconds. 1.325382 5
MIPLIB Top 5 snp-02-004-104 [MIPLIB] Gerald Gamrath Supply network planning problems. 1.585603 176
snp-04-052-052 [MIPLIB] Gerald Gamrath Supply network planning problems. 1.594558 196
snp-06-004-052 [MIPLIB] Gerald Gamrath Supply network planning problems. 1.706614 448
misc04inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.754289 535
gasprod2-1 [MIPLIB] Andrew Stamps Production planning model of a second industrial gas system. Two model instances included. 2.544902 929


rentacar: 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: stein Model group: neos-pseudoapplication-21 Model group: markshare Model group: enlight
Name scp stein neos-pseudoapplication-21 markshare enlight
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 / 1.718 2 / 1.815 3 / 1.857 4 / 1.858 5 / 1.880

Model Group Summary

The table below contains summary information for the five most similar model groups to rentacar 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 1.718391 1
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.815476 2
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.856926 3
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.858203 4
enlight A. Zymolka Model to solve model of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 1.879696 5