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 CD-ROM.
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 state-of-the-art research in the field.
Optimisation Problems and Optimisation Methods
Random Search Techniques
Particle Swarm OptimisationOverview
PSO Algorithm: Basic Concepts and the Procedure
Paradigm: How to Use PSO to Solve Optimisation Problems
Some Harder Examples
Some Variants ofParticle Swarm Optimisation
Why Does the PSO Algorithm Need to Be Improved?
Inertia and Constriction—Acceleration Techniques for PSO
Local Best Model
Other Variants of PSO
Quantum-Behaved Particle Swarm OptimisationOverview
Motivation: From Classical Dynamics to Quantum Mechanics
Quantum Model: Fundamentals of QPSO
Some Essential Applications
Some Variants of QPSO
Advanced TopicsBehaviour Analysis of Individual Particles
Convergence Analysis of the Algorithm
Time Complexity and Rate of Convergence
Parameter Selection and Performance
Industrial ApplicationsInverse Problems for Partial Differential Equations
Inverse Problems for Non-Linear Dynamical Systems
Optimal Design of Digital Filters
References appear at the end of each chapter.