Particle swarm optimisation : classical and quantum optimisation

Although the particle swarm optimisation (PSO) algorithm requires relatively few parameters and is computationally simple and easy to implement, it is not a globally convergent algorithm. In Particle Swarm Optimisation: Classical and Quantum Perspectives, the authors introduce their concept of quantum-behaved particles inspired by quantum mechanics, which leads to the quantum-behaved particle swarm optimisation (QPSO) algorithm. This globally convergent algorithm has fewer parameters, a faster convergence rate, and stronger searchability for complex problems. The book presents the concepts of optimisation problems as well as random search methods for optimisation before discussing the principles of the PSO algorithm. Examples illustrate how the PSO algorithm solves optimisation problems. The authors also analyse the reasons behind the shortcomings of the PSO algorithm. Moving on to the QPSO algorithm, the authors give a thorough overview of the literature on QPSO, describe the fundamental model for the QPSO algorithm, and explore applications of the algorithm to solve typical optimisation problems. They also discuss some advanced theoretical topics, including the behaviour of individual particles, global convergence, computational complexity, convergence rate, and parameter selection. The text closes with coverage of several real-world applications, including inverse problems, optimal design of digital filters, economic dispatch problems, biological multiple sequence alignment, and image processing. MATLAB®, Fortran, and C source codes for the main algorithms are provided on an accompanying downloadable resources. Helping you numerically solve optimisation problems, this book focuses on the fundamental principles and applications of PSO and QPSO algorithms. It not only explains how to use the algorithms, but also covers advanced topics that establish the groundwork for understanding. Content: Introduction Optimisation Problems and Optimisation Methods Random Search Techniques Metaheuristic Methods Swarm Intelligence Particle Swarm Optimisation Overview Motivations PSO Algorithm: Basic Concepts and the Procedure Paradigm: How to Use PSO to Solve Optimisation Problems Some Harder Examples Some Variants of Particle Swarm Optimisation Why Does the PSO Algorithm Need to Be Improved? Inertia and Constriction-Acceleration Techniques for PSO Local Best Model Probabilistic Algorithms Other Variants of PSO Quantum-Behaved Particle Swarm Optimisation Overview Motivation: From Classical Dynamics to Quantum Mechanics Quantum Model: Fundamentals of QPSO QPSO Algorithm Some Essential Applications Some Variants of QPSO Summary Advanced Topics Behaviour Analysis of Individual Particles Convergence Analysis of the Algorithm Time Complexity and Rate of Convergence Parameter Selection and Performance Summary Industrial Applications Inverse Problems for Partial Differential Equations Inverse Problems for Non-Linear Dynamical Systems Optimal Design of Digital Filters ED Problems MSA Image Segmentation Image Fusion Index References appear at the end of each chapter. "This volume provides a detailed description of the state of the art of particle swarm optimization (PSO) and quantum-behaved particle swarm optimization (QPSO) algorithms. The authors present the motivation, principles, and theoretical analysis of the algorithms. They discuss advanced topics such as the behavior of individual particles, global convergence, time complexity, and rate of convergence. The authors also present various examples and applications to show the applicability of QPSO algorithms. In addition, the book includes the source code of the algorithm"-- Provided by publisher