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Theoretical and empirical study of particle swarms with additive stochasticity and different recombination operators

Published: 12 July 2008 Publication History

Abstract

Standard particle swarms exhibit both multiplicative and additive stochasticity in their update equations. Recently, a simpler particle swarm with just additive stochasticity has been proposed and studied using a new theoretical approach. In this paper we extend the main results of that study to a large number of existing particle swarm optimisers by defining a general update rule from which actual algorithms can be instantiated via the choice of specific recombination operators. In particular, we derive the stability conditions and the dynamic equations for the first two moments of the sampling distribution during stagnation, and show how they depend on the used recombination operator. Finally, the optimisation efficiency of several particle swarms with additive stochasticity is compared in a suite of 16 benchmark functions.

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  • (2022)PSO-X: A Component-Based Framework for the Automatic Design of Particle Swarm Optimization AlgorithmsIEEE Transactions on Evolutionary Computation10.1109/TEVC.2021.310286326:3(402-416)Online publication date: Jun-2022
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    cover image ACM Conferences
    GECCO '08: Proceedings of the 10th annual conference on Genetic and evolutionary computation
    July 2008
    1814 pages
    ISBN:9781605581309
    DOI:10.1145/1389095
    • Conference Chair:
    • Conor Ryan,
    • Editor:
    • Maarten Keijzer
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Published: 12 July 2008

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    Author Tags

    1. empirical study
    2. optimization
    3. recombination operators
    4. swarm intelligence
    5. theory

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    View all
    • (2022) Exposing the grey wolf, moth‐flame, whale, firefly, bat, and antlion algorithms: six misleading optimization techniques inspired by bestial metaphors International Transactions in Operational Research10.1111/itor.1317630:6(2945-2971)Online publication date: 26-Jul-2022
    • (2022)PSO-X: A Component-Based Framework for the Automatic Design of Particle Swarm Optimization AlgorithmsIEEE Transactions on Evolutionary Computation10.1109/TEVC.2021.310286326:3(402-416)Online publication date: Jun-2022
    • (2020)Grey Wolf, Firefly and Bat Algorithms: Three Widespread Algorithms that Do Not Contain Any NoveltySwarm Intelligence10.1007/978-3-030-60376-2_10(121-133)Online publication date: 23-Oct-2020
    • (2014)Penguins Huddling OptimisationInternational Journal of Agent Technologies and Systems10.4018/ijats.20140401016:2(1-29)Online publication date: 1-Apr-2014
    • (2008)Simple Dynamic Particle Swarms without VelocityProceedings of the 6th international conference on Ant Colony Optimization and Swarm Intelligence10.1007/978-3-540-87527-7_13(144-154)Online publication date: 22-Sep-2008

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