cmflsp40-36-2-10: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Andrea Arias
Description: Capacitated Multi-Family Lot-Sizing Problem
MIPLIB Entry

Parent Instance (cmflsp40-36-2-10)

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

cmflsp40-36-2-10 Raw cmflsp40-36-2-10 Decomposed cmflsp40-36-2-10 Composite of MIC top 5 cmflsp40-36-2-10 Composite of MIPLIB top 5 cmflsp40-36-2-10 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.
cmflsp60-36-2-6 decomposed cmflsp50-24-8-8 decomposed cmflsp50-24-10-4 decomposed cmflsp40-24-10-7 decomposed gen-ip054 decomposed
Name cmflsp60-36-2-6 [MIPLIB] cmflsp50-24-8-8 [MIPLIB] cmflsp50-24-10-4 [MIPLIB] cmflsp40-24-10-7 [MIPLIB] gen-ip054 [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 / 0.289 2 / 0.705 3 / 0.715 4 / 0.742 5 / 1.255
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
cmflsp60-36-2-6 raw cmflsp50-24-8-8 raw cmflsp50-24-10-4 raw cmflsp40-24-10-7 raw gen-ip054 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.
cmflsp60-36-2-6 decomposed cmflsp50-24-8-8 decomposed cmflsp50-24-10-4 decomposed cmflsp40-24-10-7 decomposed neos-933638 decomposed
Name cmflsp60-36-2-6 [MIPLIB] cmflsp50-24-8-8 [MIPLIB] cmflsp50-24-10-4 [MIPLIB] cmflsp40-24-10-7 [MIPLIB] neos-933638 [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 / 0.289 2 / 0.705 3 / 0.715 4 / 0.742 757 / 1.983
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
cmflsp60-36-2-6 raw cmflsp50-24-8-8 raw cmflsp50-24-10-4 raw cmflsp40-24-10-7 raw neos-933638 raw

Instance Summary

The table below contains summary information for cmflsp40-36-2-10, the five most similar instances to cmflsp40-36-2-10 according to the MIC, and the five most similar instances to cmflsp40-36-2-10 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance cmflsp40-36-2-10 [MIPLIB] Andrea Arias Capacitated Multi-Family Lot-Sizing Problem 0.000000 -
MIC Top 5 cmflsp60-36-2-6 [MIPLIB] Andrea Arias Capacitated Multi-Family Lot-Sizing Problem 0.288544 1
cmflsp50-24-8-8 [MIPLIB] Andrea Arias Capacitated Multi-Family Lot-Sizing Problem 0.704891 2
cmflsp50-24-10-4 [MIPLIB] Andrea Arias Capacitated Multi-Family Lot-Sizing Problem 0.714675 3
cmflsp40-24-10-7 [MIPLIB] Andrea Arias Capacitated Multi-Family Lot-Sizing Problem 0.741992 4
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. 1.254628 5
MIPLIB Top 5 cmflsp60-36-2-6 [MIPLIB] Andrea Arias Capacitated Multi-Family Lot-Sizing Problem 0.288544 1
cmflsp50-24-8-8 [MIPLIB] Andrea Arias Capacitated Multi-Family Lot-Sizing Problem 0.704891 2
cmflsp50-24-10-4 [MIPLIB] Andrea Arias Capacitated Multi-Family Lot-Sizing Problem 0.714675 3
cmflsp40-24-10-7 [MIPLIB] Andrea Arias Capacitated Multi-Family Lot-Sizing Problem 0.741992 4
neos-933638 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.983092 757


cmflsp40-36-2-10: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: cmflsp
Assigned Model Group Rank/ISS in the MIC: 1 / 1.020

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: cmflsp Model group: scp Model group: stein Model group: neos-pseudoapplication-109 Model group: markshare
Name cmflsp scp stein neos-pseudoapplication-109 markshare
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 / 1.021 2 / 1.733 3 / 1.734 4 / 1.811 5 / 1.821

Model Group Summary

The table below contains summary information for the five most similar model groups to cmflsp40-36-2-10 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 cmflsp Andrea Arias Capacitated Multi-Family Lot-Sizing Problem 1.020788 1
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 1.733237 2
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.733968 3
neos-pseudoapplication-109 Jeff Linderoth (None provided) 1.810998 4
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.820940 5