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Particle swarm optimization is used in several combinatorial optimization problems. In this work, particle swarms are used to solve quadratic programming problems with quadratic constraints. The approach of particle swarms is an example for…

Artificial Intelligence · Computer Science 2014-07-24 Deepak Kumar , A G Ramakrishnan

Particle Swam Optimization is a population-based and gradient-free optimization method developed by mimicking social behaviour observed in nature. Its ability to optimize is not specifically implemented but emerges in the global level from…

Neural and Evolutionary Computing · Computer Science 2021-01-29 Mauro S. Innocente , Johann Sienz

The penalization method is a popular technique to provide particle swarm optimizers with the ability to handle constraints. The downside is the need of penalization coefficients whose settings are problem-specific. While adaptive…

Neural and Evolutionary Computing · Computer Science 2021-01-28 Mauro S. Innocente , Johann Sienz

In this paper we propose a Particle Swarm Optimization algorithm combined with Novelty Search. Novelty Search finds novel place to search in the search domain and then Particle Swarm Optimization rigorously searches that area for global…

Neural and Evolutionary Computing · Computer Science 2024-09-02 Mr. Rajesh Misra , Kumar S Ray

In transportation planning and development, transport network design problem seeks to optimize specific objectives (e.g. total travel time) through choosing among a given set of projects while keeping consumption of resources (e.g. budget)…

Optimization and Control · Mathematics 2015-02-04 Mehran Fasihozaman Langerudi

Traditional methods present a very restrictive range of applications, mainly limited by the features of the function to be optimized and of the constraint functions. In contrast, evolutionary algorithms present almost no restriction to the…

Neural and Evolutionary Computing · Computer Science 2021-01-26 Mauro S. Innocente , Johann Sienz

The paper introduces particle swarm optimization as a viable strategy to find numerical solution of Diophantine equation, for which there exists no general method of finding solutions. The proposed methodology uses a population of integer…

Neural and Evolutionary Computing · Computer Science 2010-03-16 Siby Abraham , Sugata Sanyal , Mukund Sanglikar

Swarm intelligence has becoming a powerful technique in solving design and scheduling tasks. Metaheuristic algorithms are an integrated part of this paradigm, and particle swarm optimization is often viewed as an important landmark. The…

Optimization and Control · Mathematics 2013-03-27 Xin-She Yang

The aim of paper is to apply two types of particle swarm optimization, global best andlocal best PSO to a constrained maximum likelihood estimation problem in pseudotime anal-ysis, a sub-field in bioinformatics. The results have shown that…

Neural and Evolutionary Computing · Computer Science 2022-10-04 Elvis Cui , Dongyuan Song , Weng Kee Wong

Meta-heuristics are powerful tools for solving optimization problems whose structural properties are unknown or cannot be exploited algorithmically. We propose such a meta-heuristic for a large class of optimization problems over discrete…

Discrete Mathematics · Computer Science 2021-06-22 Moritz Mühlenthaler , Alexander Raß , Manuel Schmitt , Rolf Wanka

Particle Swarm Optimization (PSO) is a nature-inspired meta-heuristic for solving continuous optimization problems. In the literature, the potential of the particles of swarm has been used to show that slightly modified PSO guarantees…

Artificial Intelligence · Computer Science 2015-05-01 Alexander Raß , Manuel Schmitt , Rolf Wanka

In this paper we provide a rigorous convergence analysis for the renowned particle swarm optimization method by using tools from stochastic calculus and the analysis of partial differential equations. Based on a time-continuous formulation…

Numerical Analysis · Mathematics 2024-08-05 Hui Huang , Jinniao Qiu , Konstantin Riedl

The periodic mode is analyzed together with two conventional boundary handling modes for particle swarm. By providing an infinite space that comprises periodic copies of original search space, it avoids possible disorganizing of particle…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Wen-Jun Zhang , Xiao-Feng Xie , De-Chun Bi

Metaheuristic algorithms are powerful tools for global optimization, particularly for non-convex and non-differentiable problems where exact methods are often impractical. Particle-based optimization methods, inspired by swarm intelligence…

Optimization and Control · Mathematics 2026-03-23 Giacomo Borghi , Hyesung Im , Lorenzo Pareschi

The particle swarm approach provides a low complexity solution to the optimization problem among various existing heuristic algorithms. Recent advances in the algorithm resulted in improved performance at the cost of increased computational…

Neural and Evolutionary Computing · Computer Science 2013-04-16 Muhammad Omer Bin Saeed , Muhammad Saqib Sohail , Syed Zeeshan Rizvi , Mobien Shoaib , Asrar Ul Haq Sheikh

We provide brief notes on a particle swarm-optimisation approach to constraining the properties of a stochastic gravitational-wave background in the first International Pulsar Timing Array data-challenge. The technique employs many…

Instrumentation and Methods for Astrophysics · Physics 2012-10-15 Stephen R. Taylor , Jonathan R. Gair , L. Lentati

Metaheuristic algorithms are becoming an important part of modern optimization. A wide range of metaheuristic algorithms have emerged over the last two decades, and many metaheuristics such as particle swarm optimization are becoming…

Optimization and Control · Mathematics 2012-12-04 Xin-She Yang

In this paper we theoretically investigate underlying assumptions that have been used for designing adaptive particle swarm optimization algorithms in the past years. We relate these assumptions to the movement patterns of particles…

Neural and Evolutionary Computing · Computer Science 2018-02-15 Mohammad Reza Bonyadi

A great deal of research has been conducted in the consideration of meta-heuristic optimisation methods that are able to find global optima in settings that gradient based optimisers have traditionally struggled. Of these, so-called…

Neural and Evolutionary Computing · Computer Science 2023-05-01 Max D. Champneys , Timothy J. Rogers

Solving non-convex minimization problems using multi-particle metaheuristic derivative-free optimization methods is still an active area of research. Popular methods are Particle Swarm Optimization (PSO) methods, that iteratively update a…

Optimization and Control · Mathematics 2025-08-21 Michael Herty , Sara Veneruso