markshare

Type: Model Group
Submitter: G. Cornuéjols, M. Dawande
Description: Market sharing problem

Parent Model Group (markshare)

All other model groups below were be compared against this "query" model group.

Model group: markshare
Model Group Composite (MGC) image Composite of the decomposed CCM images for every instance in the query model group.

Component Instances (Decomposed)

These are the decomposed CCM images for each instance in the query model group.

These are component instance images.
Component instance: markshare2 Component instance: markshare1 Component instance: markshare_4_0 Component instance: markshare_5_0
Name markshare2 markshare1 markshare_4_0 markshare_5_0

MIC Top 5 Model Groups

These are the 5 MGC images that are most similar to the MGC image for the query model group, according to the ISS metric.

FIXME - These are model group composite images.
Model group: scp Model group: stein Model group: neos-pseudoapplication-21 Model group: enlight Model group: generated
Name scp stein neos-pseudoapplication-21 enlight generated
Rank / ISS The image-based structural similarity (ISS) metric measures the Euclidean distance between the image-based feature vectors for the query model group and all other model groups. A smaller ISS value indicates greater similarity.
1 / 0.832 2 / 1.006 3 / 1.015 4 / 1.278 5 / 1.384

Model Group Summary

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

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
Parent Model Group markshare G. Cornuéjols, M. Dawande Market sharing problem 0.000000 -
MIC Top 5 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 0.832126 1
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.006209 2
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.015047 3
enlight A. Zymolka Model to solve model of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 1.278218 4
generated Simon Bowly Randomly generated integer and binary programming models. These results are part of an early phase of work aimed at generating diverse and challenging MIP models for experimental testing. We have aimed to produce small integer and binary programming models which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. 1.384446 5