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Comparative Study of Firefly Algorithm and Particle Swarm Optimization for Noisy Non- Linear Optimization Problems

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TLDR
In this paper, two types of meta-heuristics called Particle Swarm Optimization (PSO) and Firefly algorithms were devised to find optimal solutions of noisy non-linear continuous mathematical models.
Abstract
There are various noisy non-linear mathematical optimization problems that can be effectively solved by Metaheuristic Algorithms. These are iterative search processes that efficiently perform the exploration and exploitation in the solution space, aiming to efficiently find near optimal solutions. Considering the solution space in a specified region, some models contain global optimum and multiple local optima. In this context, two types of meta-heuristics called Particle Swarm Optimization (PSO) and Firefly algorithms were devised to find optimal solutions of noisy non-linear continuous mathematical models. Firefly Algorithm is one of the recent evolutionary computing models which is inspired by fireflies behavior in nature. PSO is population based optimization technique inspired by social behavior of bird flocking or fish schooling. A series of computational experiments using each algorithm were conducted. The results of this experiment were analyzed and compared to the best solutions found so far on the basis of mean of execution time to converge to the optimum. The Firefly algorithm seems to perform better for higher levels of noise.

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Citations
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Journal ArticleDOI

A hybrid firefly and particle swarm optimization algorithm for computationally expensive numerical problems

TL;DR: The solution results quality of this study show that the proposed HFPSO algorithm provides fast and reliable optimization solutions and outperforms others in unimodal, simple multi-modal, hybrid, and composition categories of computationally expensive numerical functions.
Journal ArticleDOI

Significant wave height forecasting via an extreme learning machine model integrated with improved complete ensemble empirical mode decomposition

TL;DR: The hybrid ICEEMDAN-ELM model is found to be a beneficial Hs forecasting tool in accordance to high performance accuracy and is vital for designing of reliable ocean energy converters.
Journal ArticleDOI

Multi-layer perceptron hybrid model integrated with the firefly optimizer algorithm for windspeed prediction of target site using a limited set of neighboring reference station data

TL;DR: In this paper, a multilayer perceptron (MLP) hybrid model integrated with the Firefly Optimizer algorithm was used to predict wind speed at target sites in north-west Iran using a limited set of historical (monthly) data (2004-2014) for a group of neighboring stations.
Journal ArticleDOI

Smart Artificial Firefly Colony Algorithm-Based Support Vector Regression for Enhanced Forecasting in Civil Engineering

TL;DR: Analytical results confirm that using the proposed hybrid system significantly improves the accuracy in solving CE problems and is validated by comparing its performance with those of empirical methods and previous works via cross‐validation algorithm and hypothesis test.
Journal ArticleDOI

A novel efficient substitution-box design based on firefly algorithm and discrete chaotic map

TL;DR: A novel scheme based on firefly (FA) optimization and chaotic map to construct cryptographically efficient S-box is proposed in this paper, and the obtained experimental results are compared with some recently investigated S-boxes to demonstrate that the proposed scheme has better proficiency of constructing efficientS-boxes.
References
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Proceedings ArticleDOI

Particle swarm optimization

TL;DR: A concept for the optimization of nonlinear functions using particle swarm methodology is introduced, and the evolution of several paradigms is outlined, and an implementation of one of the paradigm is discussed.
Journal ArticleDOI

Particle swarm optimization

TL;DR: A snapshot of particle swarming from the authors’ perspective, including variations in the algorithm, current and ongoing research, applications and open problems, is included.
Book

Nature-Inspired Metaheuristic Algorithms

Xin-She Yang
TL;DR: This book reviews and introduces the state-of-the-art nature-inspired metaheuristic algorithms in optimization, including genetic algorithms, bee algorithms, particle swarm optimization, simulated annealing, ant colony optimization, harmony search, and firefly algorithms.
Journal ArticleDOI

Application of the Firefly Algorithm for Solving the Economic Emissions Load Dispatch Problem

TL;DR: A solution to this famous problem of economic emission load dispatch is described using a new metaheuristic nature-inspired algorithm, called firefly algorithm, which was developed by Dr. Xin-She Yang at Cambridge University in 2007.