Osama Abdel-Raouf; Mohamed Abdel-Baset; Ibrahim El-henawy

An Improved Flower Pollination Algorithm with Chaos

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Author(s)

Osama Abdel-Raouf ¹ Mohamed Abdel-Baset ² Ibrahim El-henawy ³

1. Department of Operations Research, faculty of Computers and Information, Menoufia University, Menoufia, Shebin-el-Kome, Egypt, Postal code: 32511.

2. Department of Operations Research, faculty of Computers and Informatics, Zagazig University, ElZeraSquare, Zagazig, Sharqiyah, Egypt, Postal code: 44519.

3. Department of Computer Science, faculty of Computers and Informatics, Zagazig University, El-ZeraSquare, Zagazig, Sharqiyah, Egypt, Postal code: 44519

* Corresponding author.

DOI: https://doi.org/10.5815/ijeme.2014.02.01

Received: 6 May 2014 / Revised: 11 Jun. 2014 / Accepted: 24 Jul. 2014 / Published: 8 Aug. 2014

Index Terms

Flower pollination algorithm, definite integral, optimization, nature-inspired algorithm

Abstract

Flower pollination algorithm is a new nature-inspired algorithm, based on the characteristics of flowering plants. In this paper, a new method is developed based on the flower pollination algorithm combined with chaos theory (IFPCH) to solve definite integral. The definite integral has wide ranging applications in operation research, computer science, mathematics, mechanics, physics, and civil and mechanical engineering. Definite integral has always been useful in biostatistics to evaluate distribution functions and other quantities. Numerical simulation results show that the algorithm offers an effective way to calculate numerical value of definite integrals, and it has a high convergence rate, high accuracy and robustness.

Cite This Paper

Osama Abdel-Raouf, Mohamed Abdel-Baset, Ibrahim El-henawy,"An Improved Flower Pollination Algorithm with Chaos", IJEME, vol.4, no.2, pp.1-8, 2014. DOI: 10.5815/ijeme.2014.02.01

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