bg512142: Instance-to-Instance Comparison Results

Type: Instance
Submitter: A. Miller
Description: Multilevel lot-sizing instance.
MIPLIB Entry

Parent Instance (bg512142)

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

bg512142 Raw bg512142 Decomposed bg512142 Composite of MIC top 5 bg512142 Composite of MIPLIB top 5 bg512142 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.
ic97_tension decomposed b2c1s1 decomposed neos-2991472-kalu decomposed pigeon-08 decomposed supportcase3 decomposed
Name ic97_tension [MIPLIB] b2c1s1 [MIPLIB] neos-2991472-kalu [MIPLIB] pigeon-08 [MIPLIB] supportcase3 [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 / 1.001 2 / 1.015 3 / 1.037 4 / 1.068 5 / 1.079
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
ic97_tension raw b2c1s1 raw neos-2991472-kalu raw pigeon-08 raw supportcase3 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.
a1c1s1 decomposed tr12-30 decomposed exp-1-500-5-5 decomposed neos-3754480-nidda decomposed dg012142 decomposed
Name a1c1s1 [MIPLIB] tr12-30 [MIPLIB] exp-1-500-5-5 [MIPLIB] neos-3754480-nidda [MIPLIB] dg012142 [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.
15 / 1.135 124 / 1.326 139 / 1.339 306 / 1.420 695 / 1.733
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
a1c1s1 raw tr12-30 raw exp-1-500-5-5 raw neos-3754480-nidda raw dg012142 raw

Instance Summary

The table below contains summary information for bg512142, the five most similar instances to bg512142 according to the MIC, and the five most similar instances to bg512142 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance bg512142 [MIPLIB] A. Miller Multilevel lot-sizing instance. 0.000000 -
MIC Top 5 ic97_tension [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.001266 1
b2c1s1 [MIPLIB] M. Vyve, Y. Pochet Lot sizing instance. Solved by Gurobi 4.6.1 (12 threads) in 116575 seconds (January 2012). 1.015101 2
neos-2991472-kalu [MIPLIB] Jeff Linderoth (None provided) 1.037404 3
pigeon-08 [MIPLIB] Sam Allen Instance of 3D packing (container loading) problem 1.067536 4
supportcase3 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application Solved with ParaSCIP in 1551 seconds with 71 solvers(72 cores). 1.079060 5
MIPLIB Top 5 a1c1s1 [MIPLIB] M. Vyve, Y. Pochet Lot sizing instance. Alkis Vazacopoulos reports solving this instance using XPRESS 2006B. 1.135086 15
tr12-30 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.326106 124
exp-1-500-5-5 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.339436 139
neos-3754480-nidda [MIPLIB] Jeff Linderoth (None provided) 1.419607 306
dg012142 [MIPLIB] A. Miller Multilevel lot-sizing instance This instance was solved by using 256 cores of the distributed-memory supercomputer Fujitsu PRIMERGY RX200S5 (http://www.ism.ac.jp/computer_system/eng/sc/super.html). The problem was solved by ParaSCIP in approximately 43 hours. 1.733376 695


bg512142: 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: neos-pseudoapplication-40 Model group: pfour Model group: timtab Model group: neos-pseudoapplication-74 Model group: scp
Name neos-pseudoapplication-40 pfour timtab neos-pseudoapplication-74 scp
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 / 1.400 2 / 1.498 3 / 1.567 4 / 1.635 5 / 1.644

Model Group Summary

The table below contains summary information for the five most similar model groups to bg512142 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-40 Jeff Linderoth (None provided) 1.400238 1
pfour MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.497576 2
timtab C. Liebchen, R. Möhring Public transport scheduling problem 1.567110 3
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.634545 4
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 1.644391 5