snp-06-004-052: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Gerald Gamrath
Description: Supply network planning problems.
MIPLIB Entry

Parent Instance (snp-06-004-052)

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

snp-06-004-052 Raw snp-06-004-052 Decomposed snp-06-004-052 Composite of MIC top 5 snp-06-004-052 Composite of MIPLIB top 5 snp-06-004-052 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.
snp-10-004-052 decomposed snp-10-052-052 decomposed neos-3611689-kaihu decomposed hypothyroid-k1 decomposed prod2 decomposed
Name snp-10-004-052 [MIPLIB] snp-10-052-052 [MIPLIB] neos-3611689-kaihu [MIPLIB] hypothyroid-k1 [MIPLIB] prod2 [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 / 0.329 2 / 0.647 3 / 1.192 4 / 1.199 5 / 1.201
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
snp-10-004-052 raw snp-10-052-052 raw neos-3611689-kaihu raw hypothyroid-k1 raw prod2 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-10-004-052 decomposed snp-10-052-052 decomposed snp-04-052-052 decomposed snp-02-004-104 decomposed cost266-UUE decomposed
Name snp-10-004-052 [MIPLIB] snp-10-052-052 [MIPLIB] snp-04-052-052 [MIPLIB] snp-02-004-104 [MIPLIB] cost266-UUE [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.
1 / 0.329 2 / 0.647 20 / 1.319 29 / 1.349 470 / 1.599
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
snp-10-004-052 raw snp-10-052-052 raw snp-04-052-052 raw snp-02-004-104 raw cost266-UUE raw

Instance Summary

The table below contains summary information for snp-06-004-052, the five most similar instances to snp-06-004-052 according to the MIC, and the five most similar instances to snp-06-004-052 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance snp-06-004-052 [MIPLIB] Gerald Gamrath Supply network planning problems. 0.000000 -
MIC Top 5 snp-10-004-052 [MIPLIB] Gerald Gamrath Supply network planning problems. 0.329321 1
snp-10-052-052 [MIPLIB] Gerald Gamrath Supply network planning problems. 0.647188 2
neos-3611689-kaihu [MIPLIB] Jeff Linderoth (None provided) 1.192423 3
hypothyroid-k1 [MIPLIB] 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 1.198777 4
prod2 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.201248 5
MIPLIB Top 5 snp-10-004-052 [MIPLIB] Gerald Gamrath Supply network planning problems. 0.329321 1
snp-10-052-052 [MIPLIB] Gerald Gamrath Supply network planning problems. 0.647188 2
snp-04-052-052 [MIPLIB] Gerald Gamrath Supply network planning problems. 1.319088 20
snp-02-004-104 [MIPLIB] Gerald Gamrath Supply network planning problems. 1.348776 29
cost266-UUE [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.598946 470


snp-06-004-052: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: supplynetworkplanning
Assigned Model Group Rank/ISS in the MIC: 1 / 1.653

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: supplynetworkplanning Model group: hypothyroid Model group: scp Model group: supportvectormachine Model group: neos-pseudoapplication-74
Name supplynetworkplanning hypothyroid scp supportvectormachine 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 / 1.654 2 / 1.685 3 / 1.747 4 / 1.822 5 / 1.880

Model Group Summary

The table below contains summary information for the five most similar model groups to snp-06-004-052 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 supplynetworkplanning Gerald Gamrath Supply network planning problems. 1.653545 1
hypothyroid 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 1.684568 2
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 1.746706 3
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 1.822429 4
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.879542 5


Updated August 16, 2019