Research on the deployment scheme of electric power IoT sensor nodes based on multi-objective planning

Yang, Chen; Dong, Xiaofeng; Hao, Junhua; Gu, Ren

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Research on the deployment scheme of electric power IoT sensor nodes based on multi-objective planning

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Mar 26, 2025

Applied Mathematics and Nonlinear Sciences

Volume 10 (2025): Issue 1 (January 2025)

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Published Online: Mar 26, 2025

Received: Oct 30, 2024

Accepted: Feb 11, 2025

DOI: https://doi.org/10.2478/amns-2025-0803

Keywords
Multi-objective planning, WSNs, Sensor nodes, Perception model, Hybrid algorithm, Convergence performance

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Convergence curves of the four algorithms under functions

Optimization results of WSN coverage based on different algorithms

Benchmark functions

ID	Function name	Expression	Type
F1	Sphere	$f (x) = \sum_{i = 1}^{D} x_{i}^{2}$	Unimodal
F2	Schwefel2.22	$f (x) = \sum_{i = 1}^{D} \| x_{i} \| + \prod_{i = 1}^{D} \| x_{i} \|$	Unimodal
F3	Rosenbrock	$f (x) = \sum_{i = 1}^{n - 1} [\begin{matrix} 100 {(x_{i + 1} - x_{i}^{2})}^{2} \\ + {(x_{i} - 1)}^{2} \end{matrix}]$	Unimodal
F4	Rastrigin	$f (x) = \sum_{i = 1}^{D} [x_{i}^{2} - 10 \cos (2 π x_{i}) + 10]$	Multimodal
F5	Ackley	$\begin{array}{l} f (x) = - 20 \exp (- 0.2 \sqrt{\frac{1}{D} \sum_{i = 1}^{D} x_{i}^{2}}) \\ - \exp (\frac{1}{D} \sum_{i = 1}^{D} \cos (2 π x_{i})) + 20 + e \end{array}$	Multimodal
F6	Griewank	$f (x) = \frac{1}{4000} \sum_{i = 1}^{D} x_{i}^{2} - \prod_{i = 1}^{D} \cos (\frac{x_{i}}{\sqrt{i}}) + 1$	Multimodal

Language:: English

Publication timeframe:: 1 times per year
Journal Subjects:: Life Sciences, Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics, Physics, other

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Research on the deployment scheme of electric power IoT sensor nodes based on multi-objective planning

Published Online: Mar 26, 2025

Received: Oct 30, 2024

Accepted: Feb 11, 2025

DOI: https://doi.org/10.2478/amns-2025-0803

Keywords
Multi-objective planning, WSNs, Sensor nodes, Perception model, Hybrid algorithm, Convergence performance

© 2025 Chen Yang et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Figure 1.

Figure 2.

Figure 3.

Figure 4.

Benchmark functions

Research on the deployment scheme of electric power IoT sensor nodes based on multi-objective planning

Chen Yang

Xiaofeng Dong

Junhua Hao

Ren Gu

Published Online: Mar 26, 2025

Received: Oct 30, 2024

Accepted: Feb 11, 2025

DOI: https://doi.org/10.2478/amns-2025-0803

KeywordsMulti-objective planning, WSNs, Sensor nodes, Perception model, Hybrid algorithm, Convergence performance

© 2025 Chen Yang et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Figure 1.

Figure 2.

Figure 3.

Figure 4.

Benchmark functions

Keywords
Multi-objective planning, WSNs, Sensor nodes, Perception model, Hybrid algorithm, Convergence performance