generated

Type: Model Group
Submitter: Simon Bowly
Description: 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.

Parent Model Group (generated)

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

Model group: generated
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: gen-ip002 Component instance: gen-ip054 Component instance: gen-ip021 Component instance: gen-ip016 Component instance: gen-ip036
Name gen-ip002 gen-ip054 gen-ip021 gen-ip016 gen-ip036

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: neos-pseudoapplication-21 Model group: neos-pseudoapplication-101 Model group: independentset Model group: f2gap Model group: scp
Name neos-pseudoapplication-21 neos-pseudoapplication-101 independentset f2gap scp
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 / 0.765 2 / 0.774 3 / 0.839 4 / 0.994 5 / 1.183

Model Group Summary

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

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
Parent Model Group 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. 0.000000 -
MIC Top 5 neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.764970 1
neos-pseudoapplication-101 NEOS Server Submission Model coming from the NEOS Server with unknown application. Infeasibility claimed by CPLEX 12.6 and CPLEX 12.6.1 with extreme numerical caution emphasi after 4 and 2 hours computation, respectively. 0.774098 2
independentset Toni Sorrell These models are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 0.838600 3
f2gap Salim Haddadi Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 0.993668 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 1.182886 5