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A Study of Normalized Population Diversity in Particle Swarm Optimization

A Study of Normalized Population Diversity in Particle Swarm Optimization

Shi Cheng, Yuhui Shi, Quande Qin
Copyright: © 2020 |Pages: 37
ISBN13: 9781799832225|ISBN10: 1799832228|ISBN13 Softcover: 9781799832232|EISBN13: 9781799832249
DOI: 10.4018/978-1-7998-3222-5.ch015
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MLA

Cheng, Shi, et al. "A Study of Normalized Population Diversity in Particle Swarm Optimization." Handbook of Research on Advancements of Swarm Intelligence Algorithms for Solving Real-World Problems, edited by Shi Cheng and Yuhui Shi, IGI Global, 2020, pp. 345-381. https://doi.org/10.4018/978-1-7998-3222-5.ch015

APA

Cheng, S., Shi, Y., & Qin, Q. (2020). A Study of Normalized Population Diversity in Particle Swarm Optimization. In S. Cheng & Y. Shi (Eds.), Handbook of Research on Advancements of Swarm Intelligence Algorithms for Solving Real-World Problems (pp. 345-381). IGI Global. https://doi.org/10.4018/978-1-7998-3222-5.ch015

Chicago

Cheng, Shi, Yuhui Shi, and Quande Qin. "A Study of Normalized Population Diversity in Particle Swarm Optimization." In Handbook of Research on Advancements of Swarm Intelligence Algorithms for Solving Real-World Problems, edited by Shi Cheng and Yuhui Shi, 345-381. Hershey, PA: IGI Global, 2020. https://doi.org/10.4018/978-1-7998-3222-5.ch015

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Abstract

The values and velocities of a Particle swarm optimization (PSO) algorithm can be recorded as a series of matrix and its population diversity can be considered as an observation of the distribution of matrix elements. Each dimension is measured separately in the dimension-wise diversity. On the contrary, the element-wise diversity measures all dimensions together. In this chapter, the PSO algorithm is first represented in the matrix format. Then, based on the analysis of the relationship between pairs of vectors in the PSO solution matrix, different normalization strategies are utilized for dimension-wise and element-wise population diversity, respectively. Experiments on benchmark functions are conducted. Based on the simulation results of 10 benchmark functions (including unimodal/multimodal function, separable/non-separable function), the properties of normalized population diversities are analyzed and discussed.

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