The Plant Propagation Algorithm (PPA) is a Nature-Inspired stochastic algorithm, which emulates the way plants, in particular the strawberry plant, propagate using runners. It has been experimentally tested both on unconstrained and constrained continuous global optimization problems and was found to be competitive against well established algorithms. This paper is concerned with its convergence analysis. It first puts forward a general convergence theorem for a large class of random algorithms, before the PPA convergence theorem is derived and proved. It then illustrates the results on simple problems.
Accepté le :
DOI : 10.1051/ro/2017037
Mots-clés : Strawberry algorithm, randomised algorithms, convergence analysis, global optimisation
@article{RO_2018__52_2_429_0,
author = {Brahimi, Nassim and Salhi, Abdellah and Ourbih-Tari, Megdouda},
title = {Convergence analysis of the plant propagation algorithm for continuous global optimization},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {429--438},
publisher = {EDP-Sciences},
volume = {52},
number = {2},
year = {2018},
doi = {10.1051/ro/2017037},
zbl = {1401.90124},
mrnumber = {3880536},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ro/2017037/}
}
TY - JOUR AU - Brahimi, Nassim AU - Salhi, Abdellah AU - Ourbih-Tari, Megdouda TI - Convergence analysis of the plant propagation algorithm for continuous global optimization JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2018 SP - 429 EP - 438 VL - 52 IS - 2 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2017037/ DO - 10.1051/ro/2017037 LA - en ID - RO_2018__52_2_429_0 ER -
%0 Journal Article %A Brahimi, Nassim %A Salhi, Abdellah %A Ourbih-Tari, Megdouda %T Convergence analysis of the plant propagation algorithm for continuous global optimization %J RAIRO - Operations Research - Recherche Opérationnelle %D 2018 %P 429-438 %V 52 %N 2 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2017037/ %R 10.1051/ro/2017037 %G en %F RO_2018__52_2_429_0
Brahimi, Nassim; Salhi, Abdellah; Ourbih-Tari, Megdouda. Convergence analysis of the plant propagation algorithm for continuous global optimization. RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 2, pp. 429-438. doi : 10.1051/ro/2017037. http://www.numdam.org/articles/10.1051/ro/2017037/
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