ic97_tension: Instance-to-Instance Comparison Results

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

Parent Instance (ic97_tension)

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

ic97_tension Raw ic97_tension Decomposed ic97_tension Composite of MIC top 5 ic97_tension Composite of MIPLIB top 5 ic97_tension 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.
neos-2991472-kalu decomposed b2c1s1 decomposed bg512142 decomposed opt1217 decomposed a2c1s1 decomposed
Name neos-2991472-kalu [MIPLIB] b2c1s1 [MIPLIB] bg512142 [MIPLIB] opt1217 [MIPLIB] a2c1s1 [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 / 0.943 2 / 1.001 3 / 1.001 4 / 1.022 5 / 1.028
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-2991472-kalu raw b2c1s1 raw bg512142 raw opt1217 raw a2c1s1 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.
timtab1CUTS decomposed neos-4954672-berkel decomposed csched008 decomposed csched007 decomposed icir97_tension decomposed
Name timtab1CUTS [MIPLIB] neos-4954672-berkel [MIPLIB] csched008 [MIPLIB] csched007 [MIPLIB] icir97_tension [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.
31 / 1.119 32 / 1.121 446 / 1.419 451 / 1.423 852 / 1.947
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
timtab1CUTS raw neos-4954672-berkel raw csched008 raw csched007 raw icir97_tension raw

Instance Summary

The table below contains summary information for ic97_tension, the five most similar instances to ic97_tension according to the MIC, and the five most similar instances to ic97_tension according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance ic97_tension [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 neos-2991472-kalu [MIPLIB] Jeff Linderoth (None provided) 0.943012 1
b2c1s1 [MIPLIB] M. Vyve, Y. Pochet Lot sizing instance. Solved by Gurobi 4.6.1 (12 threads) in 116575 seconds (January 2012). 1.001262 2
bg512142 [MIPLIB] A. Miller Multilevel lot-sizing instance. 1.001266 3
opt1217 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.021849 4
a2c1s1 [MIPLIB] M. Vyve, Y. Pochet Lot sizing instance. 1.027898 5
MIPLIB Top 5 timtab1CUTS [MIPLIB] C. Liebchen, R. Möhring Public transport scheduling problem 1.118955 31
neos-4954672-berkel [MIPLIB] Jeff Linderoth (None provided) 1.121161 32
csched008 [MIPLIB] Tallys Yunes Cumulative scheduling problem instance 1.419162 446
csched007 [MIPLIB] Tallys Yunes Cumulative scheduling problem instance 1.422503 451
icir97_tension [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.946727 852


ic97_tension: 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: pfour Model group: neos-pseudoapplication-74 Model group: timtab Model group: scp Model group: neos-pseudoapplication-40
Name pfour neos-pseudoapplication-74 timtab scp neos-pseudoapplication-40
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 / 1.350 2 / 1.453 3 / 1.460 4 / 1.463 5 / 1.473

Model Group Summary

The table below contains summary information for the five most similar model groups to ic97_tension according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 pfour MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.349535 1
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.453190 2
timtab C. Liebchen, R. Möhring Public transport scheduling problem 1.460254 3
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 1.463200 4
neos-pseudoapplication-40 Jeff Linderoth (None provided) 1.472837 5