On the Theoretical Analysis of the Plant Propagation Algorithms

Sulaiman Muhammad; Salhi Abdellah; Khan Asfandyar; Muhammad Shakoor; Khan Wali

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On the Theoretical Analysis of the Plant Propagation Algorithms

机译：植物繁殖算法的理论分析

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Plant Propagation Algorithms (PPA) are powerful and flexible solvers for optimisation problems. They are nature-inspired heuristics which can be applied to any optimisation/search problem. There is a growing body of research, mainly experimental, on PPA in the literature. Little, however, has been done on the theoretical front. Given the prominence this algorithm is gaining in terms of performance on benchmark problems as well as practical ones, some theoretical insight into its convergence is needed. The current paper is aimed at fulfilling this by providing a sketch for a global convergence analysis.

机译：植物传播算法（PPA）是用于优化问题的强大而灵活的求解器。它们是自然启发式启发法，可以应用于任何优化/搜索问题。关于PPA的研究越来越多，主要是实验性的。但是，在理论方面几乎没有做任何事情。鉴于该算法在基准问题和实际问题上的性能都得到了显着提高，因此需要对其收敛性有一些理论上的了解。本白皮书旨在通过提供全局收敛性分析的草图来实现这一目标。

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《Mathematical Problems in Engineering》 |2018年第3期|6357935.1-6357935.8|共8页
作者
Sulaiman Muhammad; Salhi Abdellah; Khan Asfandyar; Muhammad Shakoor; Khan Wali;
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作者单位

Abdul Wali Khan Univ Mardan, Dept Math, Khyber Pakhtunkhwa, Pakistan;

Univ Essex, Dept Math Sci, Wivenhoe Pk, Colchester CO4 3SQ, Essex, England;

Abdul Wali Khan Univ Mardan, Dept Math, Khyber Pakhtunkhwa, Pakistan;

Abdul Wali Khan Univ Mardan, Dept Math, Khyber Pakhtunkhwa, Pakistan;

KUST, Dept Math, Khyber Pakhtunkhwa, Pakistan;

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1. On the Theoretical Analysis of the Plant Propagation Algorithms [J] . Muhammad Sulaiman, Abdellah Salhi, Asfandyar Khan, Mathematical Problems in Engineering: Theory, Methods and Applications . 2018,第6期

机译：植物繁殖算法的理论分析
2. CONVERGENCE ANALYSIS OF THE PLANT PROPAGATION ALGORITHM FOR CONTINUOUS GLOBAL OPTIMIZATION [J] . Brahimi Nassim, Salhi Abdellah, Ourbih-tari Megdouda RAIRO Operation Research . 2018,第2期

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3. Probability-theoretical and possibility-theoretical algorithms for reducing multivariate data: A comparative analysis [J] . K. S. Sobolev, O. V. Mondrus, Yu. P. Pyt’ev Pattern recognition and image analysis: advances in mathematical theory and applications in the USSR . 2006,第2期

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7. On the Theoretical Analysis of the Plant Propagation Algorithms [O] . Muhammad Sulaiman, Abdellah Salhi, Asfandyar Khan, 2018

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On the Theoretical Analysis of the Plant Propagation Algorithms

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