b2c1s1: Instance-to-Instance Comparison Results

Type: Instance
Submitter: M. Vyve, Y. Pochet
Description: Lot sizing instance. Solved by Gurobi 4.6.1 (12 threads) in 116575 seconds (January 2012).
MIPLIB Entry

Parent Instance (b2c1s1)

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

b2c1s1 Raw b2c1s1 Decomposed b2c1s1 Composite of MIC top 5 b2c1s1 Composite of MIPLIB top 5 b2c1s1 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.
a2c1s1 decomposed a1c1s1 decomposed ic97_tension decomposed bg512142 decomposed supportcase4 decomposed
Name a2c1s1 [MIPLIB] a1c1s1 [MIPLIB] ic97_tension [MIPLIB] bg512142 [MIPLIB] supportcase4 [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 / 0.929 2 / 0.957 3 / 1.001 4 / 1.015 5 / 1.020
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
a2c1s1 raw a1c1s1 raw ic97_tension raw bg512142 raw supportcase4 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.
a2c1s1 decomposed a1c1s1 decomposed unitcal_7 decomposed exp-1-500-5-5 decomposed b1c1s1 decomposed
Name a2c1s1 [MIPLIB] a1c1s1 [MIPLIB] unitcal_7 [MIPLIB] exp-1-500-5-5 [MIPLIB] b1c1s1* [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 / 0.929 2 / 0.957 226 / 1.289 284 / 1.356 0* / 0.000*
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
a2c1s1 raw a1c1s1 raw unitcal_7 raw exp-1-500-5-5 raw b1c1s1 raw

Instance Summary

The table below contains summary information for b2c1s1, the five most similar instances to b2c1s1 according to the MIC, and the five most similar instances to b2c1s1 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance b2c1s1 [MIPLIB] M. Vyve, Y. Pochet Lot sizing instance. Solved by Gurobi 4.6.1 (12 threads) in 116575 seconds (January 2012). 0.000000 -
MIC Top 5 a2c1s1 [MIPLIB] M. Vyve, Y. Pochet Lot sizing instance. 0.929267 1
a1c1s1 [MIPLIB] M. Vyve, Y. Pochet Lot sizing instance. Alkis Vazacopoulos reports solving this instance using XPRESS 2006B. 0.957022 2
ic97_tension [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.001262 3
bg512142 [MIPLIB] A. Miller Multilevel lot-sizing instance. 1.015101 4
supportcase4 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 1.019542 5
MIPLIB Top 5 a2c1s1 [MIPLIB] M. Vyve, Y. Pochet Lot sizing instance. 0.929267 1
a1c1s1 [MIPLIB] M. Vyve, Y. Pochet Lot sizing instance. Alkis Vazacopoulos reports solving this instance using XPRESS 2006B. 0.957022 2
unitcal_7 [MIPLIB] R. O’Neill California seven day unit commitment problem 1.288806 226
exp-1-500-5-5 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.356363 284
b1c1s1* [MIPLIB] M. Vyve, Y. Pochet Lot sizing instance. 0.000000* 0*


b2c1s1: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: c1s1
Assigned Model Group Rank/ISS in the MIC: 1 / 1.233

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: c1s1 Model group: neos-pseudoapplication-7 Model group: neos-pseudoapplication-40 Model group: neos-pseudoapplication-99 Model group: noip
Name c1s1 neos-pseudoapplication-7 neos-pseudoapplication-40 neos-pseudoapplication-99 noip
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 / 1.233 2 / 1.506 3 / 1.550 4 / 1.609 5 / 1.614

Model Group Summary

The table below contains summary information for the five most similar model groups to b2c1s1 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 c1s1 M. Vyve, Y. Pochet Lot sizing model. 1.233126 1
neos-pseudoapplication-7 Jeff Linderoth (None provided) 1.506486 2
neos-pseudoapplication-40 Jeff Linderoth (None provided) 1.550436 3
neos-pseudoapplication-99 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.609272 4
noip Christopher Hojny integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists 1.614393 5


* b1c1s1 is a duplicate of b2c1s1.